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(a) Write the regression equation. ŷ= -11.320 +0.788x₁ +0.151x2 ✓ (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788 to increase by $ 151 x when advertising is held constant. (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for as needed.) 0 Ho x when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected

(a) Write the regression equation. ŷ= -11.320 +0.788x₁ +0.151x2 ✓ (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788 to increase by $ 151 x when advertising is held constant. (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for as needed.) 0 Ho x when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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esc You may need to use the appropriate technology to answer this question. The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x, in thousands of dollars), and number of salespeople (x₂) for a corporation. The regression was performed on a sample of 10 observations. Constant X1 x2 Ho: 55°F Heavy sleet (a) Write the regression equation. Ha Coefficients -11.320 ŷ = -11.320+0.788x1 +0.151x2 0.788 2 0.151 = Standard Error (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788 to increase by $ 151 X when advertising is held constant. (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for # as needed.) B₁ = 0 B₁!=0 Find the value of the test statistic. (Round your answer to two decimal places.) 2.61 3 20.452 0.302 Find the p-value. (Round your answer to four decimal places.) p-value .0349 State your conclusion. F4 -- 0.218 4 -Responses/submit/dep=30597856&tags=autosave#question4806908_11 % 5 6 17 & 7 fa fo X when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected 8 DII f10 DDI 12 insert P A prt sc [ backspace home num lock end F 11:00 PM 11/29/2022 7 home pg up 004
Transcribed Image Text:esc You may need to use the appropriate technology to answer this question. The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x, in thousands of dollars), and number of salespeople (x₂) for a corporation. The regression was performed on a sample of 10 observations. Constant X1 x2 Ho: 55°F Heavy sleet (a) Write the regression equation. Ha Coefficients -11.320 ŷ = -11.320+0.788x1 +0.151x2 0.788 2 0.151 = Standard Error (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ 788 to increase by $ 151 X when advertising is held constant. (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for # as needed.) B₁ = 0 B₁!=0 Find the value of the test statistic. (Round your answer to two decimal places.) 2.61 3 20.452 0.302 Find the p-value. (Round your answer to four decimal places.) p-value .0349 State your conclusion. F4 -- 0.218 4 -Responses/submit/dep=30597856&tags=autosave#question4806908_11 % 5 6 17 & 7 fa fo X when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected 8 DII f10 DDI 12 insert P A prt sc [ backspace home num lock end F 11:00 PM 11/29/2022 7 home pg up 004
(d) At a = 0.05, test for the significance of the coefficient of number of salespeople. State the null and alternative hypotheses. (Enter != for # as needed.) B₂=0 ß₂!= 0 Ho Ha Find the value of the test statistic. (Round your answer to two decimal places.) 69 Find the p-value. (Round your answer to four decimal places.) p-value = .5097 X State your conclusion. O Reject Ho. There is sufficient evidence to conclude that B₂ is significant. O Do not reject Ho. There is insufficient evidence to conclude that , is significant. O Reject Ho. There is insufficient evidence to conclude that is significant. O Do not reject Ho. There is sufficient evidence to conclude that B₂ is significant. (e) If the company uses $48,000 in advertisement and has 790 salespeople, what are the expected sales? Give your answer in dollars. $37931.97 X Need Help? Submit Answer 55°F Heavy sleet Read It 2 hp □ W
Transcribed Image Text:(d) At a = 0.05, test for the significance of the coefficient of number of salespeople. State the null and alternative hypotheses. (Enter != for # as needed.) B₂=0 ß₂!= 0 Ho Ha Find the value of the test statistic. (Round your answer to two decimal places.) 69 Find the p-value. (Round your answer to four decimal places.) p-value = .5097 X State your conclusion. O Reject Ho. There is sufficient evidence to conclude that B₂ is significant. O Do not reject Ho. There is insufficient evidence to conclude that , is significant. O Reject Ho. There is insufficient evidence to conclude that is significant. O Do not reject Ho. There is sufficient evidence to conclude that B₂ is significant. (e) If the company uses $48,000 in advertisement and has 790 salespeople, what are the expected sales? Give your answer in dollars. $37931.97 X Need Help? Submit Answer 55°F Heavy sleet Read It 2 hp □ W
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