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 (x,) for a corporation. The regression was performed on a sample of 10 observations. ŷ= Constant x1 x₂ H₂: Coefficients -11.320 0.788 (a) Write the regression equation. 0.151 Standard Error 20.452 0.302 0.218 (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 $ increase by $ 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.) Ho: when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected to

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Constant
?
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.
Ha:
X1
X2
(a) Write the regression equation.
ŷ =
Coefficients
f2
2
-11.320
0.788
(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 $
increase by $
when advertising is held constant.
f3
0.151
(c) At a = 0.05, test for the significance of the coefficient of advertising.
State the null and alternative hypotheses. (Enter != for # as needed.)
Ho:
#
-
Find the value of the test statistic. (Round your answer to two decimal places.)
3
Standard Error
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that ₁
01
20.452
f4
0.302
$
0.218
4
f5
ent-Responses/last?dep=30597856#Q12
10
do
%
5
f6
4-
6
f7
is significant.
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7
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বিব
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8
▷II
f10
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when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected to
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Transcribed Image Text:esc Constant ? 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. Ha: X1 X2 (a) Write the regression equation. ŷ = Coefficients f2 2 -11.320 0.788 (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 $ increase by $ when advertising is held constant. f3 0.151 (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for # as needed.) Ho: # - Find the value of the test statistic. (Round your answer to two decimal places.) 3 Standard Error Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that ₁ 01 20.452 f4 0.302 $ 0.218 4 f5 ent-Responses/last?dep=30597856#Q12 10 do % 5 f6 4- 6 f7 is significant. ♫+ & 7 fg বিব * fg 8 ▷II f10 DDI when the number of salespeople is held constant. As the number of salespeople increases by 1, sales are expected to f12 insert A {3 IILE prt sc > delete 3 backspace home + num lock end 1:19 PM 11/29/2022 pg up 6 pg dn
esc
fi
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that is significant.
O Reject Ho. There is insufficient evidence to conclude that B₁ is significant.
O Reject Ho. There is sufficient evidence to conclude that is significant.
O Do not reject Ho. There is insufficient evidence to conclude that , is significant.
(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.)
Ho:
Ha
Find the value of the test statistic. (Round your answer to two decimal places.)
?
Find the p-value. (Round your answer to four decimal places.)
p-value
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 B₂ is significant.
O Reject Ho. There is insufficient evidence to conclude that B₂ 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.
$
Need Help? Read It
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11/29/20
Transcribed Image Text:esc fi State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that is significant. O Reject Ho. There is insufficient evidence to conclude that B₁ is significant. O Reject Ho. There is sufficient evidence to conclude that is significant. O Do not reject Ho. There is insufficient evidence to conclude that , is significant. (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.) Ho: Ha Find the value of the test statistic. (Round your answer to two decimal places.) ? Find the p-value. (Round your answer to four decimal places.) p-value 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 B₂ is significant. O Reject Ho. There is insufficient evidence to conclude that B₂ 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. $ Need Help? Read It J f3 * f4 ..... HD f5 f6 f7 ♫+ fg IAA n fg hp DII f10 DDI f11 f12 insert prt sc delete home E end 1:20 11/29/20
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