In the problem involving days, a 365−day year is assumed.
High school dropout rates. The table gives U.S. high school dropout rates as percentages for selected years since 1980. A linear regression model for the data is
r = −0.198t + 14.2
where t represents years since 1980 and r is the dropout rate expressed as a percentage.
High School Dropout Rates (%)
1980 | 1985 | 1990 | 1995 | 2000 | 2005 | 2010 |
14.1 | 12.6 | 12.1 | 12.0 | 10.9 | 9.4 | 7.4 |
(A) Interpret the slope of the model.
(B) Draw a scatter plot of the data and the model in the same coordinate system.
(C) Use the model to predict the first year for which the dropout rate is less than 5%.
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