4) For the dataset below, perform a regression and find the best-fit equation and
coefficient of determination. Then state how well the regression line fits the dataset.
Use the shortcut (or computing) formulas. Make sure you show all necessary work.
X Y X2 Y2 XY
10 75
14 65
20 59
26 44
30 32
Based on the fit of the line to the dataset according to the R2 value, how appropriate was
it to assume a linear equation could be fit to the data? (Very, somewhat, not very)
Should you use this equation to make predictions? If so, find the predicted y-value for an
x-value of 17 and for an x-value of 32. Which prediction is interpolation? Which is
extrapolation? Which is more reliable and why?