Willie Mays, with all-around talent, was one of the greatest baseball players of all time. The numbers of stolen bases by Mays are shown in Table 77 for various years.

Let n be the number of stolen bases by Mays in the year that is t years since 1955.
a. Construct a scatterplot by hand.
b. Draw a linear model on your scatterplot.
c. Estimate the number of bases Mays stole in 1959. Have you performed interpolation or extrapolation? The actual number is 27 bases. Find the error in your estimate.
d. What is then-intercept? What does it mean in this situation? In 1955, Mays stole 24 bases. Has model breakdown occurred?
e. What is the t-intercept? What does it mean in this situation? In 1965, Mays stole 9 bases. Has model breakdown occurred?

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Table 77 Numbers of Stolen Bases by Willie Mays Year 1956 1957 1958 1960 1961 1962 1963 Number of Stolen Bases 40 38 31 25 18 18