A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 156 students who took the course last semester are provided in the file MktHrsPts. Click on the datafile logo to reference the data. DATA file (a) Choose a scatter chart below with Hours Spent Studying as the independent variable. (i) 120 IGE 100+ 80+ Total Points Earned 60+ 40+ 20+ 20 40 60 80 100 120 Hours Spent Studying (ii) 120+ 100 80+ Total Points Earned 607 40+ 20+ of 20 40 60 80 100 120(iii) 120+ 100+ 80+ Total Points Earned 60+ 40+ 20+ Q - 20 40 60 80 100 120 Hours Spent Studying (iv) 120+ 100+ 80+ Total Points Earned 60+ 40+ 20+ Q - 20 40 60 80 100 120 Hours Spent Studying - Select your answer - What does the scatter chart indicate about the relationship between hours spent studying and total points earned? The scatter chart indicates there may be a - Select your answer - |linear relationship between hours spent studying and total points earned. Students who spend more time studying generally earn more points, and this scatter chart is consistent with what is expected.(b) Develop an estimatad regression equation showing how total points earned is relatad to hours spent studying. What is the estimated regression model? Let x represent the hours spent studying. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) 2 B . (c) Test whether each of the regression parameters 85 and &; is equal to zero at a 0.01 level of significance. What are the correct interpretations of the aestimataed regression parameters? Are these interpretations reasonable? (i) We can conclude that both 8p and 5; are equal to zero, where 8p is the estimated change in total points 2arnad for a3 ona hour increase in time spent studying and By is the estimated total points earned when the hours spent studying is zero. The interpretation of 5 is not reasonable but the interpretation of 8; is reasonable. (ii) We can conclude that neither S5 nor 5; are equal to zero, where 8, is the estimated total points earnaed when the hours spent studying is zero and 5; is the estimated change in total points earned for a one hour increase in time spent studying. The interpretation of 55 is not reasonable but the interpretation of 5; is reasonable. (iii) We cannot conclude that neither 8 nor 8; are equal to zero, where is the estimated total points earned when the hours spent studying is zero and f; is the estimated change in total points earned for a one hour increase in time spent studying. The interpretation of [p is reascnable but the interpratation of ; is not reasonable. (iv) We can conclude that 8o = 0 but 3; = 0, where fg is the estimated chanage in total points earned for a one hour increase in time spent studying and 3; is the estimated total points earned when the hours spent studying is zero. Both interpretations are reasonable. - Select your answer - v (d) How much of the variation in the sample values of total point earned doss the model you estimated in part (b) explain? If required, round your answer to two decimal places. D."'D (e) Mark Sweeney spent 80 hours studying. Use the regression model you estimated in part (b) to predict the total points Mark earned. If required, round your answer to the nearest whole number. Do not round intermediate calculations. $