Question

Assingment 3: Regression 1. Suppose we wish to know whether the number of extracurricular activities in which college students are involved predicts how satisfied they are with their college experience. To test this idea we ask a group of 10 college students to self-report how many extracurricular activities they are involved in and to fill out the Satisfaction with the College Experience Questionnaire (scores can range from 0-10, with 10 being maximum satisfaction). Use SPSS and the following dataset to carry out linear regression analyses predicting satisfaction from extracurricular activities. (Activities are measured in number and satisfaction is measured in satisfaction index) Extracurricular Activities Satisfaction with College Experience 1.00 3.00 2.00 4.00 3.00 5.00 4.00 6.00 5.00 2.00 6.00 4.00 7.00 9.00 8.00 5.00 9.00 8.00 10.00 9.00 A. What is the regression equation relating extracurricular activities and satisfaction with the college experience? B. What do you conclude about whether number of extracurricular activities predicts satisfaction with the college experience? Write up the results as in APA format. c. (f Luke participated in 3 extracurricular activities, what would you predict his satisfaction with the college experience score to be?

Answer 1

using excel>data>data analysis>regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.69347
R Square	0.480901
Adjusted R Square	0.416013
Standard Error	1.880522
Observations	10
ANOVA
	df	SS	MS	F	Significance F
Regression	1	26.20909	26.20909	7.411311	0.026153
Residual	8	28.29091	3.536364
Total	9	54.5
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	2.4	1.284641	1.868226	0.098676	-0.56239	5.362388
extracurricular activities	0.563636	0.207039	2.722372	0.026153	0.086204	1.041068

a ) the regression equation is

Satisfaction with college experience = 2.4+0.563636 *extracurricular activities

b ) since p value of F stat is 0.026153 is less than 0.05 so we conclude that number of extracurricular activities predicts Satisfaction with college experience.

F(1 ,8) = 5.318 , p value = 0.026153 , Reject Ho

c ) extracurricular activities = 3

Satisfaction with college experience = 2.4+0.563636 *3 = 4.09