4. Using the regression output below, answer the questions that follow this table.

SUMMARY

OUTPUT

Regression Statistics

Multiple R 0.6496

91

R Square 0.4220

98

Adjusted R 0.3170

Square 25

Standard 3.1067

Error 21

Observations 1

ANOVA

df SS MS F Significance

Regression 2 77.5454 38.7727 4.017182 0.049

Residual 11 106.1689 9.651717

Total 13 183.7143

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%

Intercept 128.4074 17.73768 7.239245 1.67E-05 89.36704 167.4478

X1 0.6027 0.215183 2.801154 0.017239 0.129146 1.076374

X2 -0.32778 0.224323 -1.46121 0.171928 -0.82151 0.165949

a. What can you say about the strength of this relationship for the model using the F test? Use = .05.

b. Is y significantly related to each independent variable? Use = .05.

c. Would your answer to c change if = .2? If so, how?