2. Data was collected where a weightlifter was asked to do asmany repetitions as possible using different amounts of weight.Below is a table that shows how much weight was on the bar, and howmany repetitions the weightlifter could do: Weight 200 300 400 500Reps 42 27 12 3
a. Calculate the correlation for this data. What does this valuetell you about the relationship between these two variables?
b. Determine the least squares regression line for this data.Interpret the values for the y-intercept and the slope within thisscenario.
c. Calculate r2 for this data and describe what itrepresents.
d. Using the regression line from part (b), calculate thepredicted number of repetitions for this weight lifter if theweight is 400 pounds, and then calculate and interpret the residualfor that weight using the data.
