Question

Please label each step and answer all questions

6. Is College GPA determined by a the number of hours / week a student studies, attendance, number of credits taken per semester or High School GPA? A sample of students was analyzed. The following initial regression output is shown below 0.580 Total 0717 000B4 04117 0685 00831 00 03610 0236 1 04512 0034 a15e5 00150 009 013901428 HS GPA 02317 a. Is the model worth keeping from a global perspective (α: 0.05)? Why? b. How many independent factors were analyzed? c. Write the initial regression equation d. Cross out the factors that are not significant. e. What percent of the variability in the dependent variable can be explained by

Answer 1

a) Yes, from a global perspective the regression is worth keeping since F statistic<0.05.

b) Four independent variables were analyzed which are high school GPA, % of classes attended, hours studied and credits.

c) College GPA=$\alpha$+$\beta$Credits+$\gamma$hours studied+$\delta$classes attended+$\lambda$high school GPA+$\vartheta$

d) % classes attended, high school GPA and credits are not significant since their P-values more than 0.05. They are not significant at 95%.

e) Variability explained by the model is given by R square and adjusted R square. Hence, 55% or 53% variability is explained by the model. Adjusted R square is a better measure of understanding variability explained by the model.