Reference no: EM132907659
A teacher wants to study whether a student's performance on the midterm exam predicts his/her performance on the final exam. She gathers data on the midterm exam score and the final exam score for 96 randomly selected students from the past three years.
The link to the data set is here: https://www.publisheet.com/Jack/problem-question
(A) What is the covariance between the two variables?
(B) Based on the covariance, are the two variables positively or negatively related? How can you tell?
(C) Does your answer in Part (B) make sense? Why or why not?
(D) Based on the covariance, are the two variables strongly or weakly linearly related? If you cannot tell, explain why not?
(E) What is the correlation between the two variables?
(F) Form a scatterplot of the dependent variable versus the explanatory variable. Impose a trendline, display its equation and R^2
(G) Verify that the least-squares line is the trendline in Part (G). Hint: Manually calculate the intercept and slope of the least-squares line.
(H) Give a specific interpretation of the estimated regression slope coefficient.
(I) Give a specific interpretation of the estimated regression intercept coefficient.