# 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

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. If the nurse used a random sample of 50 students from the school to calculate the regression line instead of using all the students, would the slope of the sample regression line be exactly 4.2? Explain your answer.

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Isma Jimenez
No, because the slope of the population regression line is 4.2 and we expect the slope of the sample regression line to be close to 4.2 (but not exactly 4.2) as there is some sampling variability in a sample.