Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F. Find the regression equation, letting chirps in 1 minute be the independent (x) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Chirps in 1 min Temperature (°F) 1145 862 1168 978 879 1027 974 950 89.1 69.5 84.7 78.5 73.4 82.2 76.4 81.4

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Chapter4: Graphing And Inverse Functions
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Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
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Listed below are the numbers of cricket chirps in 1 minute and the corresponding
temperatures in °F. Find the regression equation, letting chirps in 1 minute be the
independent (x) variable. Find the best predicted temperature at a time when a cricket
chirps 3000 times in 1 minute, using the regression equation. What is wrong with this
predicted temperature?
Chirps in 1 min
Temperature (°F)
1145 862 1168 978 879
89.1 69.5 84.7
78.5 73.4
1027 974 950
82.2 76.4 81.4
Transcribed Image Text:Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F. Find the regression equation, letting chirps in 1 minute be the independent (x) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Chirps in 1 min Temperature (°F) 1145 862 1168 978 879 89.1 69.5 84.7 78.5 73.4 1027 974 950 82.2 76.4 81.4
The regression equation is ŷ =+x.
(Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.)
The best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, based on the regression equation, is °F.
(Round to the nearest integer as needed.)
What is wrong with this predicted temperature?
A. It is only an approximation. An unrounded value would be considered accurate.
B. The chirps in 1 minute should have been the dependent variable.
C. It is unrealistically high. The value 3000 is far outside of the range of observed values.
D. Nothing is wrong with this value. It can be treated as an accurate prediction.
Transcribed Image Text:The regression equation is ŷ =+x. (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.) The best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, based on the regression equation, is °F. (Round to the nearest integer as needed.) What is wrong with this predicted temperature? A. It is only an approximation. An unrounded value would be considered accurate. B. The chirps in 1 minute should have been the dependent variable. C. It is unrealistically high. The value 3000 is far outside of the range of observed values. D. Nothing is wrong with this value. It can be treated as an accurate prediction.
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