Question

(a) find the least - squares regression line treating height as the explanatory variable and head circumference as the response variable. y = 0.170x+(12.8) (round the slope to three decimal places and round the constant to one decimal place as needed.) (b) interpret the slope and y - intercept, if appropriate. first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. for a head circumference of 0 inches, the height is predicted to be □ in. (round to three decimal places as needed.) b. for a height of 0 inches, the head circumference is predicted to be □ in. (round to three decimal places as needed.) c. for every inch increase in height, the head circumference increases by □ in., on average. (round to three decimal places as needed.) d. for every inch increase in head circumference, the height increases by □ in., on average. (round to three decimal places as needed.) e. it is not appropriate to interpret the slope.

Explanation:

Step1: Identify slope from regression equation

Slope is coefficient of x: 0.170

Step2: Interpret slope meaning

For 1 unit increase in x (height), ŷ (head circumference) increases by slope.

Answer:

C. For every inch increase in height, the head circumference increases by 0.170 in., on average. (Round to three decimal places as needed.)