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ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting.
Here are the four numbers. Keep them in this order:
18 2 4 3
Here are the tools in your toolbox:
The 2 and 3 represent exponents, so you are allowed to square or cube a number.
Listed below are the values you need to create.
21 =
67 =
-6 =
103 =

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irs
during primary recovery. This problem explores some aspects of this behavior.
Consider the expansion of methane from 300 bars to 50 bars at a constant temperature of 40 C (313 K).
Methane obeys the following equation of state
V =(RT/P)+C+(D/T)
where C = 31 cm3/mol, D = -693cm3K/mole, and R = 83.14bar cm3/mole K. Note that the units of
energy are bar-cm3/mole in this problem. Report your answer in bar-cm3/mole
(a) What is the change in enthalpy during the expansion
(b) What is the change in internal energy?
(c) What is the heat removed?
(d) How much work does the system do during the expansion?

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nge of season. If a 25% discount is
applied to the clothes, the store is going to lose $25 per item. If a 10% discount is applied, the
store is still going to gain $20 per item. Determine the original tag price of the item. Tax is not
involved in this question.
(Hint: How would you express the price of an item after 25% discount if the original price is ?
What about after 10% discount? What is the connection between the two discounted
prices?)

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4. If a system has 35.5 J of heat added to it, and the system does 75.5 J of work ...

what is the change in the internal energy of the system, in J?

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he majority of cells involved in the epidermis, hair follicles/hair growth, and nail synthesis/nail growth.
How does the structure of spongy bone support the function of the red bone marrow contained within said bone?
How do bones, synovial fluid, tendons, ligaments, and articular cartilage work together to allow synovial joint movement? Please explicitly include the bone feature that allows for tendon/ligament attachment.
What is the difference in function between the vertebrae and the intervertebral disks in the vertebral column? Please discuss both the connective tissue subtype for each of these features and how the composition of their extracellular matrix contributes to function
Describe the extracellular matrix of bone to someone who isn't familiar with anatomy (this should be a general description of appearance/tactile nature, no specific mention of cells or function is needed)
How does hair contribute to the sensory role of the integumentary system? (A short explanation is all that is needed, no in-depth description of associated structures is required for full credit)
Back when he was 16, Jordan left eye orbit floor was fractured in a bizarre fencing accident, leaving a few fragments behind inside his skull. Assuming the floor was punctured from above in the maxillary bone and no additional bones were broken, where did the bone fragments end up in his skull? (This should be a particular space in the skull, not a separate bone where the fragments are embedded
The skeletal and integumentary systems rely heavily on collagen for function - describe one or more features other than ligaments that involve collagen, and how you would expect function to change in someone with EDS that affected the relevant subtype of collagen

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a prize with probability p independently of the other curtains. The player chooses one curtain
(a) The game host tells the contestant there's a prize hiding behind at least one of the other curtains, and offers the player a chance to change his choice. Should he?
(b) The game host tells the player there's a prize hiding behind exactly one of the other curtains. Should the player change his choice? How does your answer depend on p
(c) How would your answer to section (b) change if there are n curtains in total?
(d) Bonus (4 points): How would your answer to section (a) change if there are 4 curtains in total?

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two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object.
(a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing).
Fill in the blanks for the null and alternative hypotheses.
H0 : Ha :
(b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.)
(c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.)
(d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation.
(e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer.
(f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly.
1
(g) (5 points)
(h) (3 points) question?
(i) (4 points)
(j) (4 points) A.
B. C.
Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous
How would you interpret the confidence interval that you found in part (g)?
Which of the following is a correct interpretation of the 95% confidence level?
If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective.
About 95% times Augie chooses the correct objective.
If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective.
(k) (4 points)
object 21 out of 35 times.
Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
The center of the confidence interval would . The width of the confidence interval would .
(l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
Suppose that we repeated the same study with Augie, and this time he chose the correct
The center of the confidence interval would The width of the confidence interval would
.
.

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the light also changes how her art work appears visually. This type of art work is known as chromatic manipulation Mihaela powers her circuits using four cells with a voltage of 6.0 V each. To protect the LEDs, the cells must be in series with a 10 Ωresistor.Draw a circuit with which Mihaela could light her artwork using three LEDs. Each LED must be able to be turned off individually, so the colour output can be selected.

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9.(a) A 20.0 L container at 303 K holds a mixture of two gases with a total pressure of 5.00 ...

here are 2.00 mol of Gas A in the mixture, how many moles of Gas B are present? (R = 0.0821 L • atm/(K • mol))
(b) The gas in a 250. mL piston experiences a change in pressure from 1.00 atm to 2.80 atm. What is the new volume (in mL) assuming the moles of gas and temperature are held constant?
(c) Small quantities of Oxygen can be produced by the decomposition of mercury(II) oxide as shown below. Typically, the oxygen gas is bubbled through water for collection and becomes saturated with water vapor. Atomic weight of HgO = 216.6 amu, Atomic weight of Oxygen = 32.00 amu)
2 HgO(s) → 2 Hg(ℓ) + O₂(g)
(i) Assuming that 3.05 grams of HgO was used in this reaction, determine the number of moles of oxygen gas formed.(According to the above chemical equation)
(ii) Assuming 310. 0 mL of Oxygen gas was collected at at 29°C, calculate the pressure of the Oxygen gas that was collected. (R = 0.0821 L • atm/(K • mol)
(iii) If the vapor pressure of water at this temperature equals to 0.042 atm, calculate the pressure reading of this experiment.

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10.An item is any object sold in a store. Items have a description, item ID number, and price, and can ...

be represented with the following class.
public class Item
{
private String description;
private String itemID;
private double price;
public String getDescription()
{ return description; }
public String getID()
{ return itemID; }
public String getPrice()
{ return price; }
/** Raises price by specified amount.
*/
public void raisePrice(double amount)
{
price += amount;
}
// Constructors and some methods are not shown.
}
A store manipulates a collection of items. The information for a store is contained in the Store class shown below.
public class Store
{
/** The list of items */
private ArrayList- allItems;
/** Raises the price of all items by the specified amount.
*/
public void raiseAllPrices(double amt)
{ /* to be implemented in part (a) */ }
/** Removes all items with the specified description.
*/
public void removeAll(String descr)
{ /* to be implemented in part (b) */ }
// Constructors, methods, and variables not shown.
}
Part (a)
Write the Store method raiseAllPrices. This method should change the price of each Item to be its current price plus the amount specified in the parameter.
Complete method raiseAllPrices below.
/** Raises the price of all items by the specified amount.
*/
public void raiseAllPrices(double amt)
Part (b)
Write the Store method removeAll. Method removeAll removes from the allItems list all items with the description specified in the parameter. For example, a call to removeAll("screwdriver") would remove all the screwdriver items from the list. Note that there could be many screwdriver items in the list, with the same description but different prices and item IDs.
Complete method removeAll below.
/** Removes all items with the specified description.
*/
public void removeAll(String descr)

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ies examined in class. This paper is not a literature review, though a literature review is part of your work. As this course takes place in a compressed timeline, I provided some suggestions for research topics. Feel free to use one of these as a springboard or propose your own.
At the end of the second week of class, students submit a three-page research paper prospectus. A research prospectus is a preliminary plan for conducting a study. This is not a detailed and technical research proposal, but rather, an analysis of the issues likely confronted in such a study. In essence, it is a preliminary proposal of work.
Research Paper Prospectus Elements
To complete the Research Paper Prospectus, consider the following elements. While the prospectus is limited to three pages of body content, remember, students must cover each of these areas as relevant to the plan for research:
Research Problem. What is the research problem? A problem is a situation when left untreated, produces a negative consequence for a group, an institution, or a(n) individual(s). What makes it a problem? For whom? Who says so?
Assumptions. On what assumptions is the work based? Which assumptions are verifiable in literature? Which assumptions are speculative?
Theoretical Issues. What theoretical issues arise from the study? For example, "theoretically," how is the problem and suspected results explained to other scholars? Is there a behavior view? A social systems view? Are there other theoretical orientations to consider in the study's design?
Literature Review. What, in general, does the literature say about the topic? While more development is expected for the final paper, a review of major theories, research, and writers in the field is needed.
Research Questions. Based on the problem, what are the research questions to be answered? How and why will answering the questions contribute to solving the research problem? Remember....a research question can only be answered with empirical data or information.
General Research Plan. In general, what research is necessary to answer the research question. What kind of data is needed? Specify the type, such as surveys, observations, or interviews. Who is to be studied and why? How is the data reduced and made sense of? How is the quality of the data assured?
Anticipated Difficulties and Pitfalls. What kind of difficulties and pitfalls are expected in a study of this nature? What can be done to prevent them or minimize their effects?
Anticipated Benefits. Who will benefit from the fact this research is undertaken? How? Why? Who might be disturbed by this proposed study? How? Why?
Paper Format Requirements
The Research Paper Prospectus is presented in standard APA 7 format, with a cover page, running head, body, and references list. The cover page and references do not count toward the three-page requirement. The body uses headers and in-text citations in the manner prescribed by APA. Students should include any references they know at the time they submit the prospectus, though it is expected the references may change or increase in number. Full and complete adherence to APA is required.
APA Basics
As APA format is the rule, remember the formatting rules shown on the Sample Paper (Links to an external site.):
Times New Roman, 12pt
1" margins on all sides
Double spaced, with extra line spaces removed (see below)
Page numbers in the upper right
Two spaces after concluding punctuation
150-250 word abstract with keywords
APA-style in-text citations and quote format. Use the Purdue OWL in-text citation information (Links to an external site.)to help you.
Alphabetical (by author) reference page with correct reference format. DO NOT trust the reference generator in your word processing program. It is WRONG! Use the Purdue OWL references information (Links to an external site.)to correctly structure references and do so manually.

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ard free energy G° by 18 kJ/mole, with A* having the higher G°.
Use the table below to find how many more molecules will be in state A* compared with state A at equilibrium.
If an enzyme lowered the activation energy of the reaction by 11.7 kJ/mole, how would the ratio of A to A* change?
Table: RELATIONSHIP BETWEEN THE STANDARD FREE- ENERGY CHANGE, ∆G°, AND THE EQUILIBRIUM CONSTANT
Hint: ∆G° represents the free-energy difference under standard conditions (where all components are present at a concentration of 1 mole/litter). From this table, we see that if there is a favourable free-energy change of –17.8 kJ/mole for the transition Y→ X, there will be 1000 times more molecules of X than of Y at equilibrium (K = 1000).

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audience. This assignment will focus on how criteria can change and how you need to tailor your essay to these changing audiences.
In good times, people may want homes with soaring entryways, lots of space and premium appliances. In tougher times, they may care more about efficient use of space, quality insulation, and energy efficient appliances. When gas prices are low, people love to buy SUVs and trucks, but when gas prices get higher, they prefer hybrid cars with good fuel efficiency.
Think of two scenarios, much like the ones above, where different audiences or different times create different criteria for evaluation. For example, what impact might global warming have on the way we determine desirable places to live or vacation? How might a changing economy change the way we view successful careers? If people across the globe continue to put on weight, how might standards of beauty change?
Si i have this assignment for English I just don't understand it here is the assignment:
Explore two scenarios in which change might revise customary values and standards for evaluation.
Each scenario should be a paragraph of at least 100 words in length.

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1. Which best describes the difference between single cell and multicellular organisms? *
1 point
a. Single-cell organisms can perform all processes in one cell, but multicellular organisms need many cells to do specialized functions together.
b. Single-cell organisms need one cell to function, but multicellular organisms need lots of cells who all have the same job.
c. Single-cell organisms need many cells to do specialized functions together, but multicellular organisms can perform all processes in one cell.
d. Single-cell organisms need multiple cells with similar structures, but multicellular organisms need only one cell.
2. How does your brain move your arm? *
1 point
a. The brain sends a message to your bones to move your arm
b. The brain sends a message to your nerves to move your arm
c. The lungs send a message to your muscles
d. The muscles send a message to your brain
3. Which correctly explains the difference between the respiratory and circulatory system? *
1 point
a. The respiratory system includes your lungs and the circulatory system includes your heart
b. The respiratory system takes in oxygen and the circulatory system breaks down food
c. The respiratory system takes in water and carbon dioxide, but the circulatory system does not
d. The respiratory system includes the brain and the circulatory system includes to lungs
4. Which of the following is a learned behavior? *
1 point
a. Dimples when you smile
b. Ability to sing
c. Freckles
d. Hair color
5. These are all examples of: *
1 point
Captionless Image
a. Evaporation
b. Radiation
c. Transpiration
d. Percipitation
6. Which of these does NOT make a new material? *
1 point
a. Burning a wooden log
b. Iron nail rusitng
c. Ice melting
d. Mysterious color change
Explain why: *
This is a required question
7. What would you want to put your drink it to keep it cold? *
1 point
Metal (good conductor)
Plastic (bad conductor)
Explain why: *
8. How does the sun play a role in the water cycle? *
1 point
a. Heats water and turns it into water vapor gas
b. Cools gas to make water droplets and clouds
c. Creates strong winds
d. Causing it to rain
9. What will happen when a metal chair is left outside in the hot sun? *
1 point
a. Increase in weight
b. Decrease in weight
c. Increase in size
d. Decrease in size
10. What would the weight of the lemonade be if the water is 3.0 grams, the ice is 2.5 grams, and the mixture is 0.25 grams? *
1 point
a. 5.75 g
b. 5 g
c. 6.25 g
d. 10.1 g

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van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex
and Esther are identical.
Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the
market.
a) Given this information, which couple has the higher opportunity cost of home produced goods?
Explain how you determined this. You can add a diagram if that helps, but you are not required
to include one.
b) Can you determine which couple has the higher utility? Explain why or why not.
Suppose now that value of market production for both Alex and Esther increased to $12/per hour.
c) Explain the change in the household joint production possibility frontier generated by this
change.
d) Explain what would happen to each couple’s choice of both household and market produced
goods, using an analysis by means of income and substitution effects.
e) What changes in time allocation for each couple that would be necessary to produce and
consume this new bundle? Briefly explain your reasoning.

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sil is .049 Bq/g. the activity of carborn-14 of the scientist is it the activity of living organic matter does not change change over time how old the fossil sample? (Half-life of carbon-14 is 5730 years.)

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. A few years back I kinda dropped the ball with school. If I didn't understand something, I gave up on it. Because of that I've been pretty behind for quite a while now, but this year I decided to change and become a better student. There's still a few things I'm not entirely great at, but out of them all math is one that I suffer from the most. Geometry hasn't been too hard up until now, but I never quite understood certain aspects of Algebra and my current Geometry lessons require some algebraic knowledge which is what I lack. I've tried doing it on my own but I don't understand things easily, Khan Academy is super helpful but most of the time, the amount of knowledge overwhelms me and I don't learn a thing from the video/lesson. I know this is not going to be a simple one and done fix, but I know that I can't just keep passing by without improving my math skills so that's why I came here. I don't know how this works or if it's even going to help, but right now I think it's worth the try. Thank you in advance.

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s stock was $37.84 per share. The price of the stock per share changes each day. Monday’s price per share is 3.12. Tuesday’s price per share is 3.12. Wednesday price per share is -2.17. Thursday’s price per share is -2.17. Friday’s price per share is -5.46. By how much does the price of the stock per share change from Sunday until the end of the day Friday? What is the price of the company’s stock per share at the end of the day on Thursday?

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motionless puck as shown on the picture above. The net force that the stick applies on the puck is 150N and the contact lasts for 7.5 ms. The mass of the puck is 166 g.
A) (1 point) Calculate the acceleration of the puck under the influence of the net force.
B) (2 points) Calculate the puck's change in momentum due to the impulse applied by the hockey stick.
C) (1 point) What is the velocity of the puck once it leaves the stick?
Puck travels over rough ice and comes to a stop after 25 m. The force diagram below shows all forces acting on the puck during that travel.
Screen Shot 2020-11-02 at 2.04.05 PM.png
D) (1 point) Calculate the work done on the puck by gravitational force.
E) (1 point) Calculate the work done on the puck by normal force.
F) (2 points) Calculate work done by friction force on the puck.
CNX_UPhysics_09_03_HockeyPuck.jpg
Now stationary, the puck (red) collides with a blue puck of the mass .332 kg moving to the left with velocity of 2.5 m/s. If collision is perfectly elastic calculate:
H) (2 points) Total momentum of blue+red puck system before collision?
I) (1 point) What is the total momentum of blue+red puck system after collision? How do you know?
J) (2 points) What is the velocity of the blue puck after collision?

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he parameters (a,k,d,c) of the function

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taneous rate of change of demand with respect to price at p = $350 is 2.5. Will a small inscrease in price result in a decrease or increase in revenue? Explain carefully

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44t, where t is the time in seconds. Find the average rate of change in the height of the firework from when it reaches the maximum height until when it reaches the ground.

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on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket.
Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including:
• Low spender (shopping basket value of £25 or less)
• Medium Spender (shopping basket value between £25.01 and £70) and
• High spenders (shopping basket greater than £70)
For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix.
Requirements
After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details.
Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results.
Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any).
Part B: A technical report on the various stages of the analysis (80 per cent).
The analysis should be carried out using the range of analytics tools discussed:
• SPSS Statistics
Ensure that the exercise references:
• Binary and multinomial logistic regression
• Linear vs Logistic regression
• Logit Model with odds Ratio
• Co-efficients and Chi Squared
• MLR co-efficients
• Assessing usefulness of MLR model
• Interpreting a model
• Assessing over-all model fit with Psuedo R-Squared measures
• Classification accuracy (Hit Ratio)
• Wald Statistic
• Odd ratio exp(B)
• Ratio of the probability of an event happening vs not happening
• Ratio of the odds after a unit change in the predictor to the original odds
• Assumptions
• Residuals analysis
• Cook’s distance
• DfBeta
• Adequacy (with variance inflation factor VIF and tolerance statistic)
• Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?)
• Check for multicollinearity
• Parsimony
Write a short and concise report to explain the technical detail of what you have done for each step of the analysis.
The report should also cover the following information:
• Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be
• Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of
• Conclusions and explanation, in non-technical terms, of the main points

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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales.
Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment.
Define the random variable x in this scenario, using the context of the problem.
List all possible values of x for this situation.
On one trial for this scenario, what does “success” mean? Explain using the words of the problem.
What is the probability of success in this scenario?
What is the probability of failure in this scenario?
Probability Distribution Instructions¬¬¬¬
In Excel, create a probability distribution for this scenario.
Label Column A as “x” and Column B as “P(x).”
In Column A, list the numbers 0 to 15.
In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value.
Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places.
Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.

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some uncharged pieces of paper.
a. Draw the charges formed on the polythene strip and the duster.
b. What do you observe when the rod is brought near some uncharged pieces of paper? Explain.
it observe the paper
c. How would the observation in (b) change if the rod is made of metal instead of polythene. Explain.
____________________________________________________________ ____________________________________________________________

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of $100 equals 20% . Included in the 20% margin is sales commission which equals 10% of the $100 , which is $10. If I decrease the commission to only 3% , $3 instead of the 10%, $10 , what will my new deal margin be?
After we cut the commission on the deal , we are also going to reduce our price to the customer by 6% . What does the 6% represent in terms of overall dollars on the $100 service and what would the deal commission be after this additional change to the financial structure of the deal?

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there was no Age and/or Sex entered) has been created. It is called Newmarket_Cleaned.csv.
Data file: Newmarket_Cleaned.csv
(Links to an external site.)
. Direct HTTP link: https://unh.box.com/shared/static/p8x4xlbean3rlslmfskfu74fe89yjui8.csv
Please use it for this problem. Consider the “Model 4” developed in class, which contained Age, Age^2, and Sex as independent variables. First re-create this model with the cleaned dataset (you will need to create the Age^2 column; you can verify your model summary against the one from class), and then proceed with this problem.
Make the necessary changes to the model to incorporate Year as a categorical explanatory variable (you may need to change how R interprets the variable, before running this model). Does the year of the race seem to be related to mean finishing time, after taking into account the other variables in Model 4? Use the 0.05 significance level. Explain your work/logic, and key output to support your answer.
Using the updated model, after accounting for age and sex, what is the expected difference in finishing times for runners from 2008 versus runners from 2004?
Using the updated model, after accounting for age and sex, what is the expected difference in finishing times for runners from 2014 versus 2011?
In the above, the directions are to treat Year as a categorical variable. Explain how the regression model would be different if it instead were treated as a numeric variable. What are the assumptions being made about the effect of Year in the two different approaches?

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28.(1,5) , (2,10) and (3, 19) are points on the curve y = ax^2 + bx + c. Found a, ...

-1 and c = 4.
So quadratic function is y = 2x^2 - x + 4.
Next question is: suppose that the 3rd point is written as (3, t). Find all values for t that will change the quadratic function y =ax^2 + bx + c into a linear function.

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s call for a light to be placed at the midpoint of the longest side of the flower bed. The architect decides to change the location of the flower bed using the transformation (x, y) arrowright (x, −y). Describe the location of the light in the transformed flower bed. Use coordinate notation to input the points.The coordinates of the transformed flowerbed are:
A (−2, 3) arrowright A ′
B (2, 4) arrowright B ′
C (5, 3) arrowright C ′
D (−1, 1) arrowright D ′

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adolescents. I have completed the Literature review. I have to plan a research design for the thesis. ABOUT THE THESIS:
Population- 13+ to 19 years adolescents
No of IV s- 2 that is, Gender is the First IV and Locus of Control ( LOC) is the second IV
Levels of IV- Gender has 2 levels ( male and female). LOC has two levels ( Internal Locus of Control and External Locus of Control). Both IV s are categorical variables.
List of DV s-
1. Self Esteem
2. Coping
3. Happiness
4. Academic motivation
5. Exam Anxiety
6. Life Style
Each DV will be measured by using appropriate Statistical scales. All DVs will be taken as continuous variables. All the scales measure the quantitative aspect only.
DV MEASUREMENT: Each of the scales that will be used to measure DV contains several areas or dimensions or sub-categories. For example, the self-esteem scale contains 78 items divided into 6 categories like personal, social, emotional, academic, intellectual and moral.
THESIS AIM- To check the impact of IV s on each of these DV s in isolation and also investigate the interaction effects between gender and locus of external. I will be using the SPSS package for calculations.
PROBLEM:
Problem 1: Which is the most appropriate Statistical test or design that should be used here? I believe a 2x2 ANOVA will be best suited here.
Problem 2: If I am measuring the impact of IV s on each DV in isolation, should I use several Two Way AONVA tables or a single MANCOVA table?
Problem 3: Each of the DV is measured using scales containing several dimensions. Are such dimensions of the scales need to be treated as the levels of the dependent variables? In other words, do the levels of DV are decided as per the dimensions of the scale that was used to measure the DV? If this is so, then even if I am measuring the DV s in isolation; each DV will have multiple levels, which in turn will change my design from Two Way ANOVA to perhaps MANCOVA? What is the right approach here?
Note: I have not intentionally divided DV into any levels.
Kindly help me to arrive at a statistically significant research design! If possible, kindly briefly explain the type of the design as well as the rational or suitability of the sign for my research problem.

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