The table gives the first 5 observations of 42 years of data on boats registered in Florida and manatees killed by boats. Year Boats Manatees 1977 1978 1979 1980 1981 1982 447 460 481 498 513 512 13 21 24 16 24 20

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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 =
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 intercept is never an accurate prediction.
A negative number of deaths makes no sense.
manatee deaths
The prediction for x = 0 should always be positive because it is the intercept of the least-squares line.
The value x = 0 is far outside the range of values of the explanatory variable.
Transcribed Image Text: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 = 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 intercept is never an accurate prediction. A negative number of deaths makes no sense. manatee deaths The prediction for x = 0 should always be positive because it is the intercept of the least-squares line. The value x = 0 is far outside the range of values of the explanatory variable.
The table gives the first 5 observations of 42 years of data on boats registered in Florida and manatees killed by boats.
Year
Boats
Manatees
1977
447
Florida manatees killed by boats
140-
120-
100-
80-
1978
40
1979
20
1980
1981
1982
460
481
498
513
512
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.
13
21
This scatterplot has a linear
(straight-line) overall pattern.
24
16
24
20
Moore/Nott, The Basic Practice of Statistics, 9⁹, 2021 W. H. Freeman and Company
nh
Transcribed Image Text:The table gives the first 5 observations of 42 years of data on boats registered in Florida and manatees killed by boats. Year Boats Manatees 1977 447 Florida manatees killed by boats 140- 120- 100- 80- 1978 40 1979 20 1980 1981 1982 460 481 498 513 512 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. 13 21 This scatterplot has a linear (straight-line) overall pattern. 24 16 24 20 Moore/Nott, The Basic Practice of Statistics, 9⁹, 2021 W. H. Freeman and Company nh
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