Use the variable HW1 to predict Test 1 scores.

a.) Write out the regression equation.

b.) Interpret b ₀ .

c.) Interpret b ₁ .

d.) Use the equation to predict the Test 1 score for someone who scored 25 out of 32 on HW1.

e.) Interpret R ²

f.) Evaluate all assumptions.

g.) At alpha = 0.05, if there evidence of a significant linear relationship between HW1 and Test 1? Provide hypothesis statements, evidence, and conclusion.

h.) Construct a 95% confidence interval of the Test 1 score for someone who scored 25 out of 32 on HW1.

Interpret it.

i.) Construct a 95% prediction interval of the Test 1 score for someone who scored 25 out of 32 on HW1. Interpret it.

j.) Construct a 95% confidence interval of the population slope. Interpret it.

E1 1 2 3 4 5 6 7 8 9 10 11 12 345 13 14 15 16 789872222222 17 18 19 20 21 23 24 25 26 30 31 32 33 C HW1 29 26.5 31 24 31 28.5 26 29 23.5 26 26.5 24.5 31 29.5 29 25.5 29.5 29 20 28 28 16 29 27.5 29 27 28.5 20 12 X D Test 1 83 91 96 87.5 97 84 75.5 95 -87 63.5 57.5 91.5 89 70 70.5 54.5 82.5 64 51 77 79 75.5 84 97 53 83.5 77 42 77.5 fx GPA