Use the data given in question 57 to calculate r and R². Also use your regression results to estimate the graduating GPA for someone who scores 620 on the SAT.

Question 57

The Department of Accounting at a university is interested in the relationship between SAT score and graduating grade point average (GPA). The accompanying table presents a summary of the data it has collected.

(a) Draw a scatter diagram for these data.

(b) Estimate the regression parameters α and β.

Transcribed Image Text:

SAT, x 600 420 750 650 550 680 Ex = 3650 360000 176400 562500 422500 302500 462400 2 = 2286300 - GPA y 3.2 2.5 3.9 3.6 3.4 3.7 Ey= 20.3 XV 1920 1050 2925 2340 1870 2516 = 12621 10.24 6.25 15.21 12.96 11.56 13.69 y = 69.91