The heights of objects and the lengths of their shadows are shown in Table 41.

Let x be the height (in inches) of an object and f(x) be the length (in inches) of the object€™s shadow.
a. Construct a scatterplot.
b. Find the linear regression equation for f. Does the graph of f come close to the data points?
c. Find f (55). 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) = 20.What does it mean in this situation?

Transcribed Image Text:

Table 41 Heights of Objects and Lengths of Their Shadows Length of Shadow Height Object Wine bottle Toy putter inches) 15.5 20.8 (inches) Мор Person's shoulder Person 478 55.0 63.0 13.0 23.6 31.0 36.5 415