Biologists have found that there is a relationship between the rate of a cricket’s chirp and the temperature. A regression model is determined, with the predictor variable x=x= chirps per second and...

Biologists have found that there is a relationship between the rate of a cricket’s chirp and the temperature. A regression model is determined, with the predictor variable x=x= chirps per second and the response variable y=y= temperature (°F). The data on which the model is based is given below, along with output of the regression analyis.

Chirps	13	16	16	17	18	19	19	20	20	23
Temperature	68.4	78.4	71.2	72.5	74	84.2	87.1	80	83	91.1

Correlation Coefficient:	r=r= 0.865
Least Squares Equation:	ˆy=36.93+2.32xy^=36.93+2.32x

a. Use the given regression line equation topredict the temperature (round to 1 decimal place) if the rate of cricket chirps is:

14 chirp/sec, predicted temp== °F

27 chirp/sec, predicted temp== °F

b. Is one of these predictions more reliable than the other?

The prediction corresponding to 27 chirps/sec is more reliable.

The prediction corresponding to 14 chirps/sec is more reliable.

Both predictions are equally reliable since they are based on the same regression model.

c. Based on the linear regression model, what percentage of the variation in xx can be explained by the corresponding variation in yy?

2.32 %

93 %

36.93 %

86.5 %

74.8 %

Jun 05, 2022

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Biologists have found that there is a relationship between the rate of a cricket’s chirp and the temperature. A regression model is determined, with the predictor variable x=x= chirps per second and...

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