Question

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: 6. ssion Stotistics 810 0655 0530 0.580 Multiple R R Square usted R Square Standard Error 47023 17558 228100132 Regression Residual 16942 a3358 03430418191 00454 0 1565 interdept Hes Studied % a asses Attended Credits MS. GPA 2.2381 0 1009 00034 11727 190es a 0827 0052 40021 00021 0008 04117 068850015000219 0.0631 0 0629 09530 884604212 a. is the model worth keeping from a global perspective (a 005)? Why? How many independent factors were analyzed? o Write the initial regression equation. d Cross out the factors that are not significant. e. What percest of ihe variabaity in the cependent variable can be expiained by the model?

Answer 1

Solution(a)
Here we can see that p-value for F-test is 0.0132
Alpha = 0.05
we can see that p-value is less than alpha value so we can say that this model is worth keeping from a global perspective.

Solution(b)
There are 4 independent factors that are Hrs studied, % classes attended, credits and GPA

Solution(c)

Regression equation can be written from
Y = 2.2381 + 0.1009*Hrs Studied + 0.0034*(% Classes attended) + .0040*Credits - 0.2317*GPA

Solution(d)
at alpha = 0.05 we can say that %classes attended, credits and GPA are the factors which are not significant.

Solution(e)
Here we can see that R^2 value = 0.810
so we can say that 81% of the variability in the dependent variable can be explained by this variable.