4. The following scatterplot shows the performance of five new recruits in their first four months of work with A&N Corporation. The estimated correlation between monthly sales and month from the 20 observations is 0.941426.

Monthly Sales of Five New Recruits (a) Use appropriately defined symbols to write down a regression model for predicting sales from months of experience. (3 minutes] 28 27 26 (b) Find the regression line. You must show steps to obtain credits and use 3 decimal digits. [6 minutes! 25 ht 24 23 (c) Estimate the mean sales after a new recruit is on the job for 2 months. (3 minutes) 22 21 0 20 0 1 2 3 4 Use information from the following Excel's output (when sales is regressed with month) to answer remaining questions. (Note that the estimate coefficients are deleted.) Month ANOVA df The summary statistics for month and sales are given in the following table: F 140.2868875 Regression Residual Total 1 18 19 SS 67.5684 8.6696 76.238 MS 67.5684 0.481644444 Month Sales 2.5 0.256494588 2.5 1 24.01 0.44791329 23.65 23.3 Intercept Month Coefficients Standard Error 0.380122787 0.138801217 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count 1.147078669 1.315789474 -1.400784314 0 3 1 4 50 (d) What percentage of the sales variation can be accounted for by on-the-job experience? [4 minutes] 2.003129131 4.012526316 -0.91765653 0.090807321 6.9 20.7 27.6 4802 20 (e) What is the standard error of the slope in the regression line? [2 minutes) 20 (f) Would you reject the null hypothesis that the slope parameter in the regression model is greater than 1.5 at 2.5%? Explain by applying your rejection rule but no need to show other steps in details). 4 minutes) (