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Crickets and Temperature A classic application of correlation involves the association between the temperature and the number of times a cricket chirp 1 minute. Listed

Crickets and Temperature A classic application of correlation involves the association between the temperature and the number of times a cricket chirp 1 minute. Listed below are the numbers of chirps in 1 min and the corresponding temperatures in based on data from The Song of Insects, by George W. Pierce, Harvard University Press). Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps in 1 min and the temperature?

Chirps in 1 min 882 1188 1104 864 1200 1032 960 900 Temperature 1 F 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6

Simple linear regression results: Dependent Variable: Temperature (F) Independent Variable: Chirps Temperature (F) = 27.628351 + 0.052272226 Chirps Sample size: 8 R (correlation coefficient) = 0.87367887 R-sq = 0.76331476 Estimate of error standard deviation: 4.2695091 Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept 27.628351 12.170159 0 6 2.2701716 0.0637
Slope 0.052272226 0.011883083 0 6 4.3988775 0.0046

Analysis of variance table for regression model:

Source DF SS MS F-stat P-value
Model 1 352.72775 352.72775 19.350123 0.0046
Error 6 109.37225 18.228708
Total 7 462.1

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