A Regression Model Relating X Number Of Salespersons At A Branch Office To Y Annual Sales At The Office In Thousands 1 (101.06 KiB) Viewed 26 times
A regression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Analysis of Variance SOURCE Regression ŷ = Error Total Predictor Coef Constant 80.0 50.0 X Regression Equation Y 80.0 50.00 X DF Adj SS 1 28 29 (a) Write the estimated regression equation. | Hoi Bo = 0 Ha: Po 0 6828.6 2298.8 9127.4 Ho: B₁ 20 Ha: B₁ <0 Ho: Po 0 Ha: Po = 0 SE Coef 11.333 (b) How many branch offices were involved in the study? ⒸH₁: B₁ = 0 H₂: B₁ * 0 T 7.06 5.482 9.12 (c) Compute the F statistic and test the significance of the relationship at a 0.05 level of significance. State the null and alternative hypotheses. Ho: B₁ * 0 H₂: B₁ = 0 Adj MS 6828.6 82.1 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =
State your conclusion. O Do not reject Ho. We conclude that the relationship between number of salespersons and annual sales (in thousands of dollars) is significant. O Reject Ho. We cannot conclude that the relationship between number of salespersons and annual sales (in thousands of dollars) is significant. O Do not reject Ho. We cannot conclude that the relationship between number of salespersons and annual sales (in thousands of dollars) is significant. Ⓒ Reject Ho. We conclude that the relationship between number of salespersons and annual sales (in thousands of dollars) is significant. (d) Predict the annual sales (in thousands of dollars) at the Memphis branch office. This branch employs 14 salespersons. $ thousand
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