Question # 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
ANSWERED 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? 2021-05-26

Given $$\mu y=105+4.2x$$
$$σ=7$$
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.
$$\displaystyleμ{y}={105}+{4.2}{\left({15}\right)}={105}+{63}={168}$$
Thus the average height according to the population regression line is 168 centimeters.