Question: Ideal proportions Refer to Exercise.
(a) What height would you predict for a student with an arm span of 76 inches? Show your work.
(b) About how far off do you expect the prediction in part (a) to be from the student's actual height? Justify your answer
Exercise: Ideal proportions The students in Mr. Shenk's class measured the arm spans and heights (in inches) of a random sample of 18 students from their large high school. Some computer output from a least-squares regression analysis on these data is shown below. Construct and interpret a 90% confidence interval for the slope of the population regression line. Assume that the conditions for performing inference are met.
Predictor Coef Stdev t-ratio p
Constant 11.547 S.600 2.06 0.056
Armspan 0.84042 0.08091 10.39 0.000
S=1.613 R-Sq= 87.1% R-Sq(adj) =86.3%