A marketing professor at Givens College is interested in the relationship between hours spent studying and total points
Posted: Wed May 11, 2022 3:51 pm
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 10 students who took the course last quarter follow. Hours Total Spent Studying Points Earned 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 (a) Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.) 1 (b) Test the significance of the model with a = 0.05. (Use the F test.) State the null and alternative hypotheses. O Hoi Bo = 0 H: Bo=0 O Ho: B2 = 0 Ha: 8,0 Hoi Bo + 0 H: Bo = 0 .: OHO: B1+ 0 H: B2 = 0 HB1 OHO: B: 20 Hai Baco = 0 Оно: 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. We conclude that the relationship between hours spent studying and total points earned is significant. Do not reject Ho. We conclude that the relationship between hours spent studying and total points earned is significant. Do not reject H . We cannot conclude that the relationship between hours spent studying and total points earned is significant. Reject Ho. We cannot conclude that the relationship between hours spent studying and total points earned is significant. (c) Predict the total points earned by Mark Sweeney. He spent 100 hours studying. (Round your answer to two decimal places.) points (d) Develop a 95% prediction interval for the total points earned by Mark Sweeney. (Round your answers to two decimal places.) points to points
Hours 45 Points 40 30 35 1 2 3 4 5 6 7 8 9 10 11 90 60 105 65 75 65 90 50 90 80 45 65 90 80 55 75
Hours 45 Points 40 30 35 1 2 3 4 5 6 7 8 9 10 11 90 60 105 65 75 65 90 50 90 80 45 65 90 80 55 75