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

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?

Given $$\mu y=105+4.2x$$
$$σ=7$$
$$\displaystyleμ{y}={105}+{4.2}{\left({15}\right)}={105}+{63}={168}$$