Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model ŷ= Model 1 Model 2 Model 3 with Thru-the-Door Ice and Water Model 4 Model 5 Model 6 with Thru-the-Door Ice and Water Model 7 Model 8 Model 9 with Thru-the-Door Ice and Water Model 10 with Thru-the-Door Ice and Water Model 11. with Thru-the-Door Ice and Water Model 12 Model 13 with Thru-the-Door Ice and Water Model 14 Model 14 Model 15 Model 16 with Thru-the-Door Ice and Water Model 17 Model 18 with Thru-the-Door Ice and Water Model 19 with Thru-the-Door Ice and Water Model 20 with Thru-the-Door Ice and Water Model 21 Ho: P₁ 20 H₂: P₂ <0 Cu.Ft. List Price Ho: P₁50 H₂: P₂ > 0 18.3 Ho: ₁0 H₂: P₁0 24.8 25.4 19.3 17.3 19.6 25.0 25.4 26.0 18.0 25.0 24.5 $1,299.99 20.2 20.2 15.5 28.2 27.8 25.6 $1,099.99 23.6 22.6 $899.99 21.8 $1,799.99 20.9 $1,799.99 $749.99 $599.99 $1,619.99 $999.99 $1,299.99 $1,299.99 $679.99 $2,199.99 $849.99 $849.99 $549.99 $2,599.99 $2,999.99 $2,399.99 (a) Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet. (Round your numerical values to four decimal places. Let x₁ represent the cubic feet and y represent the list price.) $1,099.99 $1,499.99 (b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet. State the null and alternative hypotheses. $1,669.99

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 16OE
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Related questions
Question
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and cubic feet.
O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and cubic feet.
O Do not reject Ho. There sufficient evidence to conclude there is a significant relationship between list price and cubic feet.
O Do not reject Ho. There insufficient evidence to conclude there is a significant relationship between list price and cubic feet.
tistic. (Round your answer to two decimal places.)
(c) Develop a dummy variable that will account for whether the refrigerator has the thru-the-door ice and water feature. Code the dummy variable with a value of 1 if the refrigerator has the thru-
the-door ice and water feature and with 0 otherwise. Use this dummy variable to develop the estimated multiple regression equation to show how list price is related to cubic feet and the thru-
the-door ice and water feature. (Round your numerical values to four decimal places. Let x₁ represent the cubic feet, x₂ represent whether the refrigerator has the thru-the-door ice and water
feature, and y represent the list price.)
ŷ =
(d) At a = 0.05, is the thru-the-door ice and water feature a significant factor in the list price of a refrigerator?
State the null and alternative hypotheses.
Ho: P₂ 20
H₂: B₂ <0
Ho: B₂ ≤0
H₂: B₂ > 0
Ho: B₂ = 0
H₂: B₂ #0
Ho: B₂ = 0
H₂: B₂ > 0
Find the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature.
O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature.
O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water
feature.
Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water
feature.
Transcribed Image Text:Find the p-value. (Round your answer to four decimal places.) State your conclusion. Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and cubic feet. O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and cubic feet. O Do not reject Ho. There sufficient evidence to conclude there is a significant relationship between list price and cubic feet. O Do not reject Ho. There insufficient evidence to conclude there is a significant relationship between list price and cubic feet. tistic. (Round your answer to two decimal places.) (c) Develop a dummy variable that will account for whether the refrigerator has the thru-the-door ice and water feature. Code the dummy variable with a value of 1 if the refrigerator has the thru- the-door ice and water feature and with 0 otherwise. Use this dummy variable to develop the estimated multiple regression equation to show how list price is related to cubic feet and the thru- the-door ice and water feature. (Round your numerical values to four decimal places. Let x₁ represent the cubic feet, x₂ represent whether the refrigerator has the thru-the-door ice and water feature, and y represent the list price.) ŷ = (d) At a = 0.05, is the thru-the-door ice and water feature a significant factor in the list price of a refrigerator? State the null and alternative hypotheses. Ho: P₂ 20 H₂: B₂ <0 Ho: B₂ ≤0 H₂: B₂ > 0 Ho: B₂ = 0 H₂: B₂ #0 Ho: B₂ = 0 H₂: B₂ > 0 Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) State your conclusion. O Reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature. O Reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature. O Do not reject Ho. There is sufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature. Do not reject Ho. There is insufficient evidence to conclude there is a significant relationship between list price and whether the refrigerator has the thru-the-door ice and water feature.
Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below.
Model
Model 1
Model 2
Model 31
with Thru-the-Door Ice and Water.
Model 4
Model 5
Model 6
with Thru-the-Door Ice and Water
Model 7
Model 8.
Model 9
with Thru-the-Door Ice and Water
Model 10
with Thru-the-Door Ice and Water
Model 11
with Thru-the-Door Ice and Water
Model 12.
Model 13
with Thru-the-Door Ice and Water
Model 14
Model 14
Model 15
Model 16
with Thru-the-Door Ice and Water
Model 17
Model 18
with Thru-the-Door Ice and Water
Model 19
with Thru-the-Door Ice and Water
Model 20
with Thru-the-Door Ice and Water
Model 21
Cu.Ft. List Price
18.3
Ho: B₂ 20
H₂: B₁ <0
O Ho: P₁ ≤0
H₂: P₂ > 0
ⒸH₁: B₁ = 0
H₂: P₁0
24.8
25.4
19.3
17.3
19.6
25.0
25.4
26.0
25.6
18.0
25.0
20.2
24.5 $1,299.99
20.2
15.5
28.2
27.8
$899.99
23.6
$1,799.99
$1,799.99
$749.99
$599.99
$1,619.99
$999.99
$1,299.99
$1,299.99
$1,099.99
$679.99
$2,199.99
$849.99
$849.99
$549.99
$2,599.99
$2,999.99
$2,399.99
22.6 $1,099.99
21.8 $1,499.99
20.9 $1,669.99
(a) Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet. (Round your numerical values to four decimal places. Let x₁
represent the cubic feet and y represent the list price.)
(b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet.
State the null and alternative hypotheses.
Transcribed Image Text:Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model Model 1 Model 2 Model 31 with Thru-the-Door Ice and Water. Model 4 Model 5 Model 6 with Thru-the-Door Ice and Water Model 7 Model 8. Model 9 with Thru-the-Door Ice and Water Model 10 with Thru-the-Door Ice and Water Model 11 with Thru-the-Door Ice and Water Model 12. Model 13 with Thru-the-Door Ice and Water Model 14 Model 14 Model 15 Model 16 with Thru-the-Door Ice and Water Model 17 Model 18 with Thru-the-Door Ice and Water Model 19 with Thru-the-Door Ice and Water Model 20 with Thru-the-Door Ice and Water Model 21 Cu.Ft. List Price 18.3 Ho: B₂ 20 H₂: B₁ <0 O Ho: P₁ ≤0 H₂: P₂ > 0 ⒸH₁: B₁ = 0 H₂: P₁0 24.8 25.4 19.3 17.3 19.6 25.0 25.4 26.0 25.6 18.0 25.0 20.2 24.5 $1,299.99 20.2 15.5 28.2 27.8 $899.99 23.6 $1,799.99 $1,799.99 $749.99 $599.99 $1,619.99 $999.99 $1,299.99 $1,299.99 $1,099.99 $679.99 $2,199.99 $849.99 $849.99 $549.99 $2,599.99 $2,999.99 $2,399.99 22.6 $1,099.99 21.8 $1,499.99 20.9 $1,669.99 (a) Develop the estimated simple linear regression equation to show how list price is related to the independent variable cubic feet. (Round your numerical values to four decimal places. Let x₁ represent the cubic feet and y represent the list price.) (b) At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between list price and cubic feet. State the null and alternative hypotheses.
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