A statistical program is recommended. The owner of a movie theater company would like to predict weekly gross revenue as
Posted: Wed May 11, 2022 9:39 am
A statistical program is recommended.
The owner of a movie theater company would like to predict
weekly gross revenue as a function of advertising expenditures.
Historical data for a sample of eight weeks follow.
(a)
Use 𝛼 = 0.01 to test the hypotheses
for the model
y = 𝛽0 + 𝛽1x1 + 𝛽2x2 + 𝜀,
where
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.
Reject H0. There is insufficient
evidence to conclude that there is a significant relationship among
the variables.Do not reject H0. There is
insufficient evidence to conclude that there is a significant
relationship among the
variables. Reject H0.
There is sufficient evidence to conclude that there is a
significant relationship among the variables.Do not
reject H0. There is sufficient evidence to
conclude that there is a significant relationship among the
variables.
(b)
Use 𝛼 = 0.05 to test the significance of
𝛽1.
State the null and alternative hypotheses.
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.
Reject H0. There is sufficient evidence
to conclude that 𝛽1 is significant.Do not
reject H0. There is insufficient evidence
to conclude that 𝛽1 is
significant. Do not
reject H0. There is sufficient evidence to
conclude that 𝛽1 is
significant.Reject H0. There is
insufficient evidence to conclude that 𝛽1 is
significant.
Should
x1
be dropped from the model?
YesNo
(c)
Use 𝛼 = 0.05 to test the significance of
𝛽2.
State the null and alternative hypotheses.
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.
Reject H0. There is sufficient evidence
to conclude that 𝛽2 is significant.Do not
reject H0. There is insufficient evidence
to conclude that 𝛽2 is
significant. Reject H0.
There is insufficient evidence to conclude
that 𝛽2 is significant.Do not
reject H0. There is sufficient evidence to
conclude that 𝛽2 is significant.
Should
x2
be dropped from the model?
YesNo
The owner of a movie theater company would like to predict
weekly gross revenue as a function of advertising expenditures.
Historical data for a sample of eight weeks follow.
(a)
Use 𝛼 = 0.01 to test the hypotheses
for the model
y = 𝛽0 + 𝛽1x1 + 𝛽2x2 + 𝜀,
where
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.
Reject H0. There is insufficient
evidence to conclude that there is a significant relationship among
the variables.Do not reject H0. There is
insufficient evidence to conclude that there is a significant
relationship among the
variables. Reject H0.
There is sufficient evidence to conclude that there is a
significant relationship among the variables.Do not
reject H0. There is sufficient evidence to
conclude that there is a significant relationship among the
variables.
(b)
Use 𝛼 = 0.05 to test the significance of
𝛽1.
State the null and alternative hypotheses.
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.
Reject H0. There is sufficient evidence
to conclude that 𝛽1 is significant.Do not
reject H0. There is insufficient evidence
to conclude that 𝛽1 is
significant. Do not
reject H0. There is sufficient evidence to
conclude that 𝛽1 is
significant.Reject H0. There is
insufficient evidence to conclude that 𝛽1 is
significant.
Should
x1
be dropped from the model?
YesNo
(c)
Use 𝛼 = 0.05 to test the significance of
𝛽2.
State the null and alternative hypotheses.
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.
Reject H0. There is sufficient evidence
to conclude that 𝛽2 is significant.Do not
reject H0. There is insufficient evidence
to conclude that 𝛽2 is
significant. Reject H0.
There is insufficient evidence to conclude
that 𝛽2 is significant.Do not
reject H0. There is sufficient evidence to
conclude that 𝛽2 is significant.
Should
x2
be dropped from the model?
YesNo