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