Question

The table below shows the arm spans (in inches) and the heights (in inches) of 10 randomly selected people. Arm Span, x 51 52 56 49 54 59 58 55 52 56 Height, y 51 53 54 50 55 57 58 57 52 56

What is the point estimate for the mean height of all people whose arm span is exactly 53 inches? Make sure your answer follows the rounding rule

MUST ROUND TO SIX DECIMAL PLACES

Answer 1

we generate the regression :

a = (543*29468 - 542*29503)/(10*29468 - 542^2) = 11.46069869

b = (10*29503 - 542*543)/(10*29468 - 542^2) = 0.7903930131

regression equation : y = 11.46069869 + 0.7903930131 * x

point estimate for the mean height of all people whose arm span is exactly 53 inches

put x = 53

y = 11.46069869 + 0.7903930131 *53 = 53.351528 inches (rounded to 6 decimal places)

point estimate of height for arm span of 53 inches = 53.351528 inches

(please UPVOTE)