A racquetball is dropped from various heights, and the bounce height is recorded each time (see Table 40).

Let f(x) be the bounce height (in inches) of the racquetball after it is dropped from an initial height of x inches.
a. Construct a scatterplot.
b. Find the linear regression equation for f. Does the graph off come close to the data points?
c. Find f (18). What does it mean in this situation?
d. Find the residual for the prediction you made in part (c). What does it mean in this situation?
e. Find x when f (x) = 30.What does it mean in this situation?

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Table 40 Drop and Bounce Heights of a Racquetball Drop HeightBounce Height inches) inches) 12 18 24 30 36 42 48 5.0 9.3 15.0 19.6 24.0 276 32.8 38.0