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 = 24.3 + 2.76(Age)

The data point is a child 12 years old who is 60 inches tall.

-Find the predicted value for the data point and compute the residual.

Enter the exact answers.

Predicted value = inches

Residual = inches

Predicted height: 57.42 inches

Residual: 2.58 inches

Step-by-step explanation:

Regression Equation

The regression equation for the height of the children (Hgt) and their age (Age) is given by the expression

Hgt = 24.3 + 2.76(Age)

We must compare the predicted value of the equation vs the real data point Age=12, Height=60

Computing the predicted height

Hgt = 24.3 + 2.76(12)

Hgt=57.42 inches

The residual is the difference between the real data point and the predicted value

R=60-57.42

R=2.58 inches

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