Question

question 16 of 39 > the table gives the first 5 observations of 42 years of data on boats registered in florida and manatees killed by boats. year boats manatee s 1977 447 13 1978 460 21 1979 481 24 1980 498 16 1981 513 24 1982 512 20 to access the data, click the link for your preferred software format. csv excel (xls) excel (xlsx) 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 r = 0.919 (c) predict manatee deaths if there were no boats registered in florida. give your answer to a whole number. ŷ = manatee deaths the predicted count of deaths for no boats is impossible. (we use x = 0 to find the intercept of the regression line, but unless the explanatory variable x actually takes values near 0, prediction for x = 0 is an example of extrapolation.) select the statements that correctly explain why the prediction is impossible. □ the value x = 0 is far outside the range of values of the explanatory variable. □ the intercept is never an accurate prediction. □ the prediction for x = 0 should always be positive because it is the intercept of the least - squares line. □ a negative number of deaths makes no sense.

Explanation:

Step1: Analyze prediction issue

The prediction for $x = 0$ (no boats) is an extrapolation as the range of boat - registration values in the data is much larger than 0.

Step2: Evaluate statements

The value of $x = 0$ is far outside the range of values of the explanatory variable (boats registered). Also, a negative number of deaths (which could potentially result from a bad - fitting intercept prediction) makes no sense.

Answer:

The value $x = 0$ is far outside the range of values of the explanatory variable; A negative number of deaths makes no sense.