Math  /  Data & Statistics

QuestionListed below are the numbers of cricket chips in 1 minute and the corresponding temperatures in F{ }^{\circ} \mathrm{F}. Construct a scatterplot, and find the value of the linear correlation coefficient r . Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps in 1 minute and the temperature? Use a significance level of α=0.05\alpha=0.05. \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Chirps in 1 min & 889 & 1172 & 1092 & 857 & 1207 & 1027 & 958 & 919 \\ \hline Temperature ('F) & 71 & 92.2 & 83.6 & 75.1 & 87.8 & 81.3 & 71.1 & 79.4 \\ \hline \end{tabular}
Construct a scatterplot. Choose the correct graph below. A. B.
Chirps in 1 min c. D.
Chips in 1 min

Studdy Solution
Determine the critical value for r r at α=0.05 \alpha = 0.05 with n2 n - 2 degrees of freedom (where n=8 n = 8 ).
Compare the calculated r r with the critical value to determine if there is a significant linear correlation.
The calculated value of r r and the conclusion about the correlation will depend on the computations above. Please perform these calculations to find the exact value of r r and compare it with the critical value from a correlation table.

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