Francesca's baseball card collection includes sets from many different seasons. Her older sets seem to be missing more cards than the newer sets, so she investigated to see whether this was actually the case.
For each set, she recorded the number of years since its release, x, and the number of missing cards, y.
The least squares regression line of this data set is:
y= 8.165x – 147.317
How many cards does this line predict would be missing from a 29-year-old set?
Round your answer to the nearest integer.
_______ cards
The predicted number of missing cards for a 29-year-old set can be found by plugging x = 29 into the regression equation:
y = 8.165(29) - 147.317
y = 236.585
Rounding to the nearest integer, the predicted number of missing cards for a 29-year-old set would be 237 cards.