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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

Scatterplots
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asked 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 &\(\mu;0=105+4.2x\) with &\(\sigma;=7\) cm. According to the population regression line, what is the average height of 15-year-old students at this high school?

Expert Answers (1)

2021-05-26

Given \(\mu y=105+4.2x\)
\(¤â=7\)
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.
\(\displaystyle╬╝{y}={105}+{4.2}{\left({15}\right)}={105}+{63}={168}\)
Thus the average height according to the population regression line is 168 centimeters.

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