The table gives the first 5 observations of 4242 years of data on boats registered in Florida and manatees killed by boats. Year Boats Manatees 1977 447 13 1978 460 21 1979 481 24 1980 498 16 1981 513 24 1982 512 20 Click to download the data in your preferred format to view the full data. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! The scatterplot of this data shows a strong positive linear relationship. The correlation is ?=0.919. (b) Suppose we expect that the number of boats registered in Florida to be 950,000 in 2019. What would you predict the number of manatees killed by boats to be if there are 950,000 boats registered? Give your answer to a whole number. ?̂ = manatee deaths Select the statements that explain why we can trust this prediction. The prediction is reliable because of the strong linear association visible in the scatterplot. The prediction is not reliable because the regression line explains 84.5%84.5% of the variations in ?.in y. The regression line always gives a good prediction. ?2 is close to 1, thus ensuring a high prediction accuracy. (c) Predict manatee deaths if there were no boats registered in Florida. Give your answer to a whole number. ?̂ = manatee deaths The predicted count of deaths for no boats is impossible. (We use ?=0 to find the intercept of the regression line, but unless the explanatory variable ? actually takes values near 0, prediction for ?=0 is an example of extrapolation.) Select the statements that correctly explain why the prediction is impossible. A negative number of deaths makes no sense. The value ?=0 is far outside the range of values of the explanatory variable. The prediction for ?=0 should always be positive because it is the intercept of the least‑squares line. The intercept is never an accurate prediction.
The table gives the first 5 observations of 4242 years of data on boats registered in Florida and manatees killed by boats.
| Year | Boats | Manatees |
|---|---|---|
| 1977 | 447 | 13 |
| 1978 | 460 | 21 |
| 1979 | 481 | 24 |
| 1980 | 498 | 16 |
| 1981 | 513 | 24 |
| 1982 | 512 | 20 |
Click to download the data in your preferred format to view the full data.
CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt!
The
The
(b) Suppose we expect that the number of boats registered in Florida to be 950,000 in 2019. What would you predict the number of manatees killed by boats to be if there are 950,000 boats registered? Give your answer to a whole number.
Select the statements that explain why we can trust this prediction.
The prediction is reliable because of the strong linear association visible in the scatterplot.
The prediction is not reliable because the regression line explains 84.5%84.5% of the variations in ?.in y.
The regression line always gives a good prediction.
?2 is close to 1, thus ensuring a high prediction accuracy.
(c) Predict manatee deaths if there were no boats registered in Florida. Give your answer to a whole number.
The predicted count of deaths for no boats is impossible. (We use ?=0 to find the intercept of the regression line, but unless the explanatory variable ? actually takes values near 0, prediction for ?=0 is an example of extrapolation.)
Select the statements that correctly explain why the prediction is impossible.
A negative number of deaths makes no sense.
The value ?=0 is far outside the
The prediction for ?=0 should always be positive because it is the intercept of the least‑squares line.
The intercept is never an accurate prediction.
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