Question
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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