A researcher was interested in how students’ Graduate Record Examinations scores (GREQQuantitative and GREV-Verbal) predict college students’ graduate school Grade Point Average (GGPA). He collects data from 30 college students. The GRE Quantitative (X1) and GRE Verbal (X2) scores can range from 400-1600 (Note. This is the old GRE score scale). GGPA (Y) can range from 0.00 to 4.00.

Data from Excel:

GREQ	GREV	GGPA
625	540	2.16
575	680	3.60
520	480	2.00
545	520	2.48
520	490	2.88
655	535	3.44
630	720	3.68
500	500	2.40
605	575	3.76
555	690	2.72
505	545	2.96
540	515	2.08
520	520	2.48
585	710	2.16
600	610	4.00
625	540	2.16
575	680	3.60
520	480	2.00
545	520	2.48
520	490	2.88
655	535	3.44
630	720	3.68
500	500	2.40
605	575	3.76
555	690	2.72
505	545	2.96
540	515	2.08
520	520	2.48
585	710	2.16
600	610	4.00

a. Write out the regression equation using both independent variables for this set of data.

b. In your own words, interpret the intercept and regression coefficients for your equation.

c. Which of the two independent variables contributes more weight to the regression equation? In other words, which independent variable contributes more to the explanation of the dependent variable variability? Justify why you believe your answer is correct

d. Report and interpret the Pearson Correlation coefficients between GGPA & GREQ, GGPA & GREV, and GREQ & GREV

e. What proportion of variance in graduate grade point average can be accounted for by the variability in the quantitative GRE and verbal GRE scores in combination?