?c Jim Stallard 2019: Reproduction, in whole or in part,requires written consent of the copyright holder.4
MINITAB output:
Pearson correlation of MATScore and CalculusGrade = 0.840Coefficients
Term Coef SD Coef T-Value P-ValueConstant 40.78 8.51 4.79 0.001MATScore 0.766 0.175 4.38 0.002
?c Jim Stallard 2019: Reproduction, in whole or in part,requires written consent of the copyright holder.5
(a) From the scatterplot, what can you say about therelationship between a student’s math achievement
test score and their Calculus I final grade?
(b) Letting a student’s math achievement test score be thepredictor variable x and their Calculus I final grade by theresponse variable y, estimate the model that allows you to predicta student’s Calculus I final grade as a linear function of his/hermath achievement test score.
(c) Find the coefficient of determination, and interpret itsmeaning.
(d) Does the data indicate that the y-intercept of the model canbe removed or retained? Use a level of significance of 5%.
(e) Find a 95% confidence interval estimate for ?1, andinterpret its meanign. (Note: t0.025,df=8 = 2.306).
(f) Consider the following MINITAB output:
Variable Setting MATScore 70
Fit SE Fit 95% CI 95% PI 94.3735 5.02118 (82.7946, 105.952) (71.2024, 117.545)
Find a 95% confidence interval that will predict the Calculus Ifinal grade of a student who scored 70% on their math achievementtest score.
