Question 1: It Ain’t Easy Being a Cookie Monster

A group of young cookie monsters sit down to eat. They devour several cookies each, but unfortunately many of them experience stomach pains; it turns out that there were hidden vegetable chips inside of the cookies. Cookie monsters hate vegetables. The ratings of cookies eaten and stomach pain ratings (higher is more pain) are shown below:

1 (cont’d)

For EACH of the boy and girl groups (so 2 separate sets of analyses):

1. a) Show whether the score distribution is normal using descriptive statistics and histograms.
2. b) Make a scatterplot of the data.
4. c) Calculate the regression equation of pain predicted from cookies eaten for these data.
5. d) Interpret the slope and the intercept- what do they mean?
7. e) Are the correlation coefficient and the slope significantly different from zero?
8. f) If you were to eat 9 cookies, how much pain would you feel?
9. g) Who would feel more cookie-related pain after 9 cookies, a boy or a girl?
10. h) What is the largest residual for each scatterplot?
11. i) Which of the two slopes (boy or girl) is greater? Is the difference in slopes significant? What would it mean if it were?

Question 2: Reggie Goes to Prom

Reggie is really excited because he managed to bust out enough manners to convince a lady to go to prom with him (take that, R ² of .025!). Reggie realizes that manners alone will not be enough to woo his lady friend and guarantee a happy night out, and so he decides to research the style choices of 15 of his most idolized fashion icons, from Milli Vanilli to the Fonz. He tabulates the following data:

Satisfaction Smooth Talk Corsage Sweet Suit Hair Grease

2 4 5 1 5

2 2 3 1 7

3 3 4 7 5

3 6 7 3 3

5 2 4 5 3

5 8 8 8 6

6 4 6 5 3

6 5 5 5 2

6 8 9 6 7

7 8 8 4 3

8 9 9 7 5

8 6 3 2 5

8 3 6 8 8

9 7 9 7 8

9 9 9 9 1

2 cont’d)

Please perform the following analyses:

a) Show the correlation matrix for the four predictors and date satisfaction; flag any significant correlations

b) Run the multiple linear regression analysis on this data and show the important output

c) Write out the regression equation using all four predictors

d) What are the β’s?

e) Which variable has the largest semipartial (part) correlation with date satisfaction, partialling out the other variables?

f) What is the difference between partial and semipartial (part) correlation? Why is one less than the other?

g) How can having a sweet suit be significantly correlated with date satisfaction but not have a significant T or produce a significant F overall?

h) How could you create a significant F?

i) Run an analysis of multivariate normality. Are there variables you would want to discard? Why?

j) Show the calculations for converting R2 (R squared) into adjusted R2 (R squared)

k) Based on these analyses, what would you recommend that Reggie devote his time on in preparing for his date?

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Solution: The downloadable solution consists of 15 pages, 1354 words and 26 charts.
Deliverable: Word Document