Using the health records of ever student at a high school, the school nurse created a scatterplot relating y = height (in centimeters) to x = age (in

jernplate8

jernplate8

Answered question

2021-05-25

Using the health records of ever student at a high school, the school nurse created a scatterplot relating y = height (in centimeters) to x = age (in years). After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be &μ;0=105+4.2x with &σ;=7 cm. According to the population regression line, what is the average height of 15-year-old students at this high school?

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-05-26Added 84 answers

Given μy=105+4.2x
σ=7
The average height of 15-year-old students at this high school according to the population regression line can be found by replacing line equation by 15 and evaluating.
μy=105+4.2(15)=105+63=168
Thus the average height according to the population regression line is 168 centimeters.

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