Lock, Statistics: Unlocking the Power of Data, 2e PRINTeR VERSION BACK NEXT ASSI

Question

Lock, Statistics: Unlocking the Power of Data, 2e PRINTeR VERSION BACK NEXT ASSIGNMENT RESOURCES Chapter 2, Section 6, Exercise 200 Two variables are defined, a regression equation is given, and one data point is given. hapter 2, Sectiorn ercise 20 Chapter 2, Section 6, Exercise 20Bacdefgh Chapter P. Sect Hgt height in inches Age = age in years of a child Hgt = 24.1 +2.72(Age) The data point is a child 12 years old who is 60 inches tall. Chapter P. Section 3. Exercise 078 Chapter P. Section 1, (a) Find the predicted value for the data point and compute the residual Enter the exact answers. Chapter P. Section 5, Chapter P. Section 5 Cha Chapter P. Section 5. Chapter P. Section S Predicted values inches inches (b) Interpret the slope in context. Finding O Given a one inch increase in Hgt, expected change in Age is 2.72 years. Given a one year increase in Age, expected change in Hgt is 2.72 inches. O Given a 2.72 change in Hgt, Age will increase by 241 . Obiective (c) Does the intercept make sense in this context? Yes No

Explanation / Answer

Answer to the question is as follows:

a. Predicted value = Hgt = 24.1 + 2.72*Age

= 24.1 + 2.72*12

= 56.74 inches

Residual = e = y-y^ = 60-56.74 = 3.26 inches

b. Given a one year increase in Age, expected change in Hgt is 2.72 inches

c. Yes it does make sense with age, the height is not zero when your age is zero ( when you are born) grows. This is a natural phenomenon, which is also true here. Hence, answer's : Yes

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