Jane is interested in health psychology, so for a project she collects data on the number of hours that college students watch television per day (x) and the number of hours that they exercise per week (y). Her data are below:

a. Find the correlation between these two variables.

b. Write the standardized regression equation for these data.

c. Calculate b and a for the unstandardized regression equation for these data.

d. Write the unstandardized regression equation for these data.

e. Draw the scatterplot and regression line for these data.

f. Do the data violate any assumptions?

g. Using the standardized regression equation, make a prediction for the following z_x values

z_x ….....……….. ẑ_y

–3 …………….

–2.5 ………….

–1 …………….

0 ……………….

1.8 ……………..

2.0 ……………..

3.5 ………………

h. Using the unstandardized regression equation, make a prediction for the following x values.

x	ŷ
0
1
2
3
4
5
6

i. Use the predictions in question 14h to calculate the residual for each x value in the dataset.

j. Which individual has the largest residual? Which individual has the smallest residual?

Transcribed Image Text:

ID y 1 3 9. 2 5 4 3 3 5 4 9. 1 7 8 8 4 7 9. 6. 2 10 1 12