Height and Weight Using the data in the StudentSurvey dataset, we use technology

Question

Height and Weight Using the data in the StudentSurvey dataset, we use technology to find that a regression line to predict weight (in pounds) from height (in inches) is = -170 + 4.82(Height) (a) What weight does the line predict for a person who is 5 feet tall (60 inches)? What weight is predicted for someone 6 feet tall (72 inches)? (b) What is the slope of the line? Interpret it in context. (c) What is the intercept of the line? If it is reasonable to do so, interpret it in context. If it is not reasonable, explain why not. (d) What weight does the regression line predict for a baby who is 20 inches long Why is it not appropriate to use the regression line in this case?

Explanation / Answer

Solution:

Given in the question : Weight = -170+4.82(height)

Weight for 60 inches person = -170+4.82(60) = -170 +289.2 = 119.2 pound

Weight for 72 inches person =-170+4.82(72) =-170+347.04

= 177.04 pound

Solution(b): slope of this line is =4.82 which means that if we increase height by one unit than weight should be increase by 4.82.

Solution: intercept of line = -170

This is not reasonable because if we took height of a person 30inches than his/her weight is in negative which is not possible so this is not reasonable.

Solution(D)

For 20inches person weight should be = -170+4.82*20

= -170+ 96.4

=-73.6

Which is not possible weight of anyone should not be in negative so this regression line is not valid for this condition.

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