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John’s parents recorded his height at various ages between 36 and 66 months.Below is a record of the results:Age(A,months) 36 48 54 60 66Height(H, inches) 34 38 41 43 45a. Determine the equation of the least-squares regression line of John’s height on age.b. John’s parents decide to use the least-squares regression line of John’s height on age to predict his height at age 21 years (252 months). What conclusion can we draw?

Respuesta :

Answer:

Step-by-step explanation:

Given that John’s parents recorded his height at various ages between 36 and 66 months.

Below is a record of the results:

Age A Height H

 

36 34

48 38

54 41

60 43

66 45

 

 

Slope 0.373873874

Intercept 20.45945946

We find the regression equation has positive slope and for a new born child height is intercept

[tex]H = 0.3739A+20.4595[/tex]

is the relation between height and age.

But this is valid only for nearer values of x and y.

When we find 252 months this is very far from the age we have considered and hence will not be reliable

H(252) = [tex]0.3739(252)+20.4595\\=114.6823[/tex]

as per regression equation line.

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