?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

1. (a) From the scatterplot, what can you say about therelationship between a student’s math achievement

   test score and their Calculus I final grade?

2. (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.

3. (c) Find the coefficient of determination, and interpret itsmeaning.

4. (d) Does the data indicate that the y-intercept of the model canbe removed or retained? Use a level of significance of 5%.

5. (e) Find a 95% confidence interval estimate for ?1, andinterpret its meanign. (Note: t0.025,df=8 = 2.306).

6. (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.