## Question

# 3+3 = 6 pt) A survey was conducted to determine a Syracuse University graduate student's overall satisfaction with her/his program of study. The following regression

3+3 \\\\\\= 6 pt) A survey was conducted to determine a Syracuse University graduate student's overall satisfaction with her/his program of study. The following regression model was used to analyze the data:

Y =_{0}+ _{1}X_{1}+ _{2}X_{2}+ _{3}X_{3}+ _{4}X_{4}+

where: Y = satisfaction score;

X_{1}= age (in years);

X_{2}= number of years of work experience before joining the program;

X_{3}= the respondent's rating of the quality of teaching at Syracuse University;

X_{4}= the respondent's rating of the placement services at Syracuse University;

Epsilon () is the random error defined as usual.

You collected data from a simple random sample of 45 respondents and estimated several regression models. The results are as follows:

Model

Dependent Variable

Independent Variable(s)

R^{2}

1

Y

X_{1}, X_{2}, X_{3}, X_{4}

0.50

2

Y

X_{1}

0.10

3

Y

X_{2}

0.25

4

Y

X_{3}

0.20

5

Y

X_{4}

0.18

6

Y

X_{1}, X_{2}

0.30

7

Y

X_{3}, X_{4}

0.35

8

Y

X_{1}, X_{2}, X_{3}

0.44

9

Y

X_{1}, X_{2}, X_{4}

0.46

10

Y

X_{1}, X_{3}, X_{4}

0.40

11

Y

X_{2}, X_{3}, X_{4}

0.48

2.(a) At a 99% level of confidence, test the null hypothesis that _{3}= _{4}= 0.

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