A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final...

Extracted text: A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total is recorded along with their final grade. Problems 57 85 91 78 72 58 62 65 68 76 77 78 84 78 73 76 75 Grade 62 68 66 66 67 72 73 1. For this setting identify the response variable. For this setting, identify the predictor variable. 2. Find the following a. Compute the linear correlation coefficient r for this data set. b. Test for a significant linear correlation. c. Classify the direction and strength of the correlation. i. Direction: ii. Strength: d. Equation of the least-squares regression line. What is the valid prediction range for this setting? 000 e. f. Test the significant of the regression line. g. Use the regression equation to predict a student's final course grade if 75 optional homework assignments are done. h. Use the regression equation to predict a student's final course grade if 45 optional homework assignments are done.