You are interested in determining if student's ACT score is good predictor of their final college grade point average (GPA). You have got the following data and are going to perform regression analysis. Under line of best fit to perform this analysis?
ACT GPA
22.0 3.0
32.0 3.78
33.0 3.68
21.0 2.94
27.0 3.38
25.0 3.21
30.0 3.65
a) Compute the R? What kind of relationship does it signify (strong/weak; positive/negative)?
b) Go to coefficients readout. Constant is intercept. Under that is ACT and that is slope. Using straight line formula of Y = mx + b, forecast some future GPA scores: In formula (m) is the slope; (x) is variable which you are looking to use as predictor; and (b) is intercept. Forecast GPA from following ACT scores using the regression equation/straight line formula (show all your work):
1) 20
2) 25
3) 34