STAT 200 FINAL EXAMINATION, SPRING 2017 STAT 200 FINAL EXAMINATION, | Page 8

19​ . A STAT 200 instructor believes that the average quiz score is a good predictor of final exam
score. A random sample of 10 students produced the following data where ​ x ​ is the average quiz
score and ​ y ​ is the final e xam score
(a) Find an equation of the least squares regression line. ​ Show all work; writing the correct
equation, without supporting work, will receive no credit.
(b) Based on the equation from part (a), what is the predicted final exam score if the average
quiz score is 95? ​ Show all work and justify your answer
20​ . A study of 8 different weight loss programs involved 160 subjects. Each of the 8 programs
had 20 subjects in it. The subjects were followed for 12 months. Weight change for each subject
was recorded. We want to test the claim that the mean weight loss is the same for the 8
programs.
(a) Complete the following ANOVA table with sum of squares, degrees of freedom, and mean
square (​ Show all work ​ ):
(b) Determine the test statistic. ​ Show all work; writing the correct test statistic, without
supporting work, will receive no credit.
(c) Determine the P-value. ​ Show all work; writing the correct P-value, without supporting work,
will receive no credit.
(d) Is there sufficient evidence to support the claim that the mean weight loss is the same for the
8 programs at the significance level of 0.05? Explain