7. A school decides to run an experiment on class sizes, based on the number of teachers they have hired. They collected the following data. Teachers 8 10 12 15 19 23 25 29 34 40 Average Class size 24 22 15 14 13 12 11 11 10 10 Using the data above, answer all of the following questions. A. Create a linear regression for this data and check the residuals plot. Is a linear regression appropriate for this specific data set? Make sure to list out any conditions that would make this non-linear if so. B. Re-express the data set to straighten it, tell how you did so; find the new linear regression equation and r-value. C. Estimate the class size if the school has 45 teachers. (Hint: use the linreg formula (stat 8) on your calculator to help find the proper variables for your linear regression equation. Pay close attention to A and B when you solve for this.)