Consider the following sample of production volumes and total cost data for a manufacturing operation. Total Cost ($) Production Volume (units) 400 4,100 450 5,000 550 5,400 600 5,900 700 6,500 750 6,900 This data was used to develop an estimated regression equation, ŷ = 1,401.33 + 7.36x, relating production volume and cost for a particular manufacturing operation. Use a = 0.05 to test whether the production volume is significantly related to the total cost. (Use the F test.) State the null and alternative hypotheses. O Ho: Po = 0 H3: Bo # 0 O Ho: B1 # 0 H: B1 = 0 O Ho: B1 2 0 H: B1 < 0 O Ho: Bo * 0 H: Bo = 0 O Ho: Bq = 0 Hg: Bq # 0 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Degrees of Freedom Source Sum Mean p-value of Variation of Squares Square Regression

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Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
Sum
Degrees
of Freedom
Mean
F
p-value
of Variation
of Squares
Square
Regression
Error
Total
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 =
What is your conclusion?
Reject Ho. We conclude that the relationship between production volume and total cost is significant.
Reject Ho. We cannot conclude that the relationship between production volume and total cost
significant.
Do not reject Ho. We cannot conclude that the relationship between production volume and total cost is significant.
Do not reject Ho. We conclude that the relationship between production volume and total cost is significant.
Tutorial
O O
Transcribed Image Text:Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Source Sum Degrees of Freedom Mean F p-value of Variation of Squares Square Regression Error Total 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 = What is your conclusion? Reject Ho. We conclude that the relationship between production volume and total cost is significant. Reject Ho. We cannot conclude that the relationship between production volume and total cost significant. Do not reject Ho. We cannot conclude that the relationship between production volume and total cost is significant. Do not reject Ho. We conclude that the relationship between production volume and total cost is significant. Tutorial O O
Consider the following sample of production volumes and total cost data for a manufacturing operation.
Production Volume
Total Cost
(units)
($)
400
4,100
450
5,000
550
5,400
600
5,900
700
6,500
750
6,900
This data was used to develop an estimated regression equation, ŷ = 1,401.33 + 7.36x, relating production volume and cost for a particular manufacturing operation. Use a = 0.05 to test whether the
production volume is significantly related to the total cost. (Use the F test.)
State the null and alternative hypotheses.
Hoi Bo = 0
Ha: Bo + 0
O Ho: B1 + 0
H: B1
= 0
Ho: B1 20
H: B, < 0
1
Ho: Bo + 0
Hạ: Bo = 0
Hoi B1
= 0
Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
Sum
Degrees
of Freedom
Mean
F
p-value
of Variation
of Squares
Square
Regression
Transcribed Image Text:Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume Total Cost (units) ($) 400 4,100 450 5,000 550 5,400 600 5,900 700 6,500 750 6,900 This data was used to develop an estimated regression equation, ŷ = 1,401.33 + 7.36x, relating production volume and cost for a particular manufacturing operation. Use a = 0.05 to test whether the production volume is significantly related to the total cost. (Use the F test.) State the null and alternative hypotheses. Hoi Bo = 0 Ha: Bo + 0 O Ho: B1 + 0 H: B1 = 0 Ho: B1 20 H: B, < 0 1 Ho: Bo + 0 Hạ: Bo = 0 Hoi B1 = 0 Set up the ANOVA table. (Round your p-value to three decimal places and all other values to two decimal places.) Source Sum Degrees of Freedom Mean F p-value of Variation of Squares Square Regression
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