Subprime Mortgages during the Housing Bubble The following graph shows the...

Subprime Mortgages during the Housing Bubble The following graph shows the approximate percentage of mortgages issued in the United States during the real-estate run-up in 2000–2008 that were subprime (normally classified as risky) as well as the logistic regression curve:

a. Which of the following logistic functions best approximates the curve? (t is the number of years since the start of 2000.) Try to determine the correct model without actually computing data points. HINT [See Properties of the Logistic Curve on page 662.]

b. According to the model you selected, during which year was the percentage growing fastest? HINT [See the “Before we go on” discussion after Example 1.]