. For the following data, x₁ represents a rating of a client's satisfaction after the first therapy session (on a scale of 1-10). x₂ represents a rating of a client's self-reported happiness before the first therapy session (on a scale of 1-12). y represents the number of sessions attended by that client after three months.

Client

x₁ : satisfaction

x₂ : happiness

y : # sessions

A

7

12

16

B

5

6

2

C

6

6

1

D

3

5

2

E

4

8

9

F

10

6

12

G

3

3

4

H

10

3

11

I

6

7

8

A.(Using SPSS) Screen the data for multicollinearity.Is multicollinearity an issue here, in particular for variables x₁ and x₂?Why or why not?

B.(Using SPSS) A researcher hypothesizes that greater satisfaction after the first session, and less happiness before the first session, will each lead one to attend more sessions.Test this hypothesis, and interpret the result.

C.Fill in the regression equation for predicting y from x₁ and x₂, of the form:

y = b₁(x₁) + b₂(x₂) + a

Then, use the above equation to find a predicted y value for each of the nine x₁ / x₂ combinations.

For example, find the predicted y value for x₁ = 7 / x₂ = 12 (that is NOT

y = 16)