Question: 4. It has been said that one can use cricket chirps to estimate temperature. For this question use the following set of data points. Chirps

4. It has been said that one can use cricket chirps

4. It has been said that one can use cricket chirps to estimate temperature. For this question use the following set of data points. Chirps in 1 minute 882 1188 1104 864 1200 1032 960 900 Temperature (F) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6 (a) Obtain a scatterplot of the data. (b) Find the correlation coefficient. (c) Follow the steps below to perform a hypothesis test to determine if the linear corre- lation is significantly different from 0 at the 5% level. i. State the null and alternate hypothesis. ii. Use the r value from your Excel output to compute the t test statistic. 2 iii. State the appropriate degrees of freedom. iv. Use Excel to find the p-value for determining whether the correlation coefficient is significantly different from 0. v. Based on the p-value, do we to reject or not reject the null hypothesis? What can you say about the existence of a linear relationship between cricket chirps per minute and temperature (F)? (d) Use Excels Data Analysis to obtain the regression analysis. (e) State the regression equation. Provide a brief sentence that interprets the value of the slope. (f) Find the best predicted value when a cricket chirps 3000 times in 1 minute. What is wrong with this predicted value

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