The numbers of mens colleges, not including seminaries, are shown in Table 26 for various years. Table
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Table 26
Numbers of Men’s Colleges
YearNumber of Men’s Colleges
1967 …………………………………….145
1975 ……………………………………. 80
1985 ……………………………………. 27
1995 ……………………………………. 11
2012 ……………………………………. 4
Let f(x) be the number of men’s colleges at x years since 1960.
a. Construct a scatterplot by hand.
b. Graph the model f(x) = 242(0.92)x by hand on the scatterplot. Then describe the shape and the strength of the association.
c. What is the coefficient of the model f(x) = 242(0.92)x? What does it mean in this situation? Do you have much faith in your estimate?
d. What is the base of the model f(x) = 242(0.92)x ? What does it mean in this situation?
e. Find f(47). What does it mean in this situation?
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a b The graph is shown on the scatterplot in part a ...View the full answer
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