Chapter 2, Section 6, Exercise 200 Two variables are defined, a regression equat

Question

Chapter 2, Section 6, Exercise 200 Two variables are defined, a regression equation is given, and one data point is given. Hgt = height in inches Age = age in years of a child Hgt = 247 + 272(Age) The data point is a child 12 years old who is 60 inches tall. (a) Find the predicted value for the data point and compute the residual. Enter the exact answers. Predicted value inches Residual- SHOW HINT LINK TO TEXT (b) Interpret the slope in context. O Given a one year increase in Age, expected change in Hgt is 2.72 inches. O Given a one inch increase in Hgt, expected change in Age is 2.72 years. Given a 2.72 change in Hgt, Age will increase by 24.7 SHOW HINT LINK TO TEXT (c) Does the intercept make sense in this context? O Yes O No

Explanation / Answer

a) predicted value =24.7+2.72*12=57.34

residual =actual-predicted =60-57.34=2.66

b)

given a one year increase in age expected change in Hgt is 2.72 inches

c)

No

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