Question 8: Consider the following:
X: 46, 64, 85, 109, 123
Y: 201, 227, 177, 129, 101
1) What is the slope of the regression line predicting Y from X, rounded to 2 decimal places?
2) What is the intercept of the regression line predicting Y from X, rounded to 2 decimal places?
3) What is the correlation between X and Y, rounded to 2 decimal places?
Question 9: Given the following summary statistics, determine the regression equation used to predict y from x.
s_y = 1.74
s_x = 5.7
r = 0.92
x̄ = 29.55
ȳ = 77.78
Round all answers to 2 decimal places.
slope =
y-intercept =
Use the exact value of the slope when calculating the y-intercept.
Question 10: Suppose that the regression for predicting weight (in pounds) from Height (in inches) is given by Weight = -115 + 3.6(Height). Which of the following statements is correct?
I. A person who is 61 inches tall will weigh 104.6 pounds.
II. For every additional inch of height, the predicted weight will increase, on average, by 3.6 pounds.
III. The correlation between weight and height is negative.
II only
I and II only
III only
I only
II and III only