Preview File Edit View Go Tools Window Help 46% [4] Mon Apr 15 2:20 PM Tenisha Demoss Q E IMG_6880.jpg 8211 an 120 21) SUPPLEMENTARY EXERCISES olqitloM 49. College Grade Point Average. The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. where -1.41.0235x, + .00486x x = high-school grade point average M x=SAT mathematics score y final college grade point average a. Interpret the coefficients in this estimated regression equation. b. Predict the final college GPA for a student who has a high-school average of 84 and a score of 540 on the SAT mathematics test. Q Search c. Use the t test and a = .05 to test Ho: B O and Ho: P2 52. Analyzing College Grade Point Average. Recall that in exercise 49, the admis officer for Clearwater College developed the following estimated regression equation relating final college GPA to the student's SAT mathematics score and high-school GPA. = -1.41 + .0235x, + .00486x2 where == x = high-school grade point average = x2 SAT mathematics score y final college grade point average A portion of the associated computer output follows. The regression equation is y = -1.41 + .0235 XI + Predictor .00486 X2 Coef SE Coef -1.4053 o .4848 023467 Constant usbivorg X1 X2 S= .1298 R-Sq= Analysis of Variance .008666 .001077 R-Sq (adj) = SOURCE DF doug of micab bre no Regression svib 1.76209 Residual Error Total 9 1.88000 worle MS F a. Complete the missing entries in this output. b. Use the F test and a .05 level of significance to see whether a significant relation- ship is present. c. Use the t test and a = .05 to test Ho: B = 0 and Ho: B = 0. d. Did the estimated regression equation provide a good fit to the data? Fynla