Question

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 Spent Studying	Total 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.)

ŷ =

(b)

Test the significance of the model with α = 0.05. (Use the F test.)

State the null and alternative hypotheses.

H₀: β₁ = 0
H_a: β₁ ≠ 0

H₀: β₀ = 0
H_a: β₀ ≠ 0    

H₀: β₀ ≠ 0
H_a: β₀ = 0

H₀: β₁ ≠ 0
H_a: β₁ = 0

H₀: β₁ ≥ 0
H_a: β₁ < 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 H₀. We cannot conclude that the relationship between hours spent studying and total points earned is significant.

Reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.     

Do not reject H₀. We conclude that the relationship between hours spent studying and total points earned is significant.

Do not reject H₀. 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 70 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

Answer 1

Conlusion:

Reject H0. We conclude that the relationship between hours spent studying and total points earned is significant.     

Ansc:

y^ when x=70

Y^=5.8470+(0.8295)*x

y^=5.8470+(0.8295*70)

y^=63.912