The estimated regression equation is ŷ = 1246.67 +7.6.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Consider the following data on production volume \( (x) \) and total cost \( (y) \) for a particular manufacturing operation.

**Excel File:** data14-29.xlsx

| Production Volume (units) | Total Cost ($) |
|---------------------------|----------------|
| 400                       | 4,000          |
| 450                       | 5,000          |
| 550                       | 5,400          |
| 600                       | 5,900          |
| 700                       | 6,400          |
| 750                       | 7,000          |

The estimated regression equation is \(\hat{y} = 1246.67 + 7.6x\).

Use \(\alpha = 0.05\) to test whether the production volume is significantly related to the total cost.

Complete the ANOVA table. Enter all values with nearest whole number, except the \( F \) test statistic (to 2 decimals) and the \( p \)-value (to 4 decimals).

| Source of Variation | Degrees of Freedom | Sum of Squares | Mean Square | \( F \)   | \( p \)-value |
|---------------------|--------------------|----------------|-------------|-------|-------------|
| Regression          |                    |                |             |       |             |
| Error               |                    |                |             |       |             |
| Total               |                    |                |             |       |             |

What is your conclusion?

- Select your answer -
Transcribed Image Text:Consider the following data on production volume \( (x) \) and total cost \( (y) \) for a particular manufacturing operation. **Excel File:** data14-29.xlsx | Production Volume (units) | Total Cost ($) | |---------------------------|----------------| | 400 | 4,000 | | 450 | 5,000 | | 550 | 5,400 | | 600 | 5,900 | | 700 | 6,400 | | 750 | 7,000 | The estimated regression equation is \(\hat{y} = 1246.67 + 7.6x\). Use \(\alpha = 0.05\) to test whether the production volume is significantly related to the total cost. Complete the ANOVA table. Enter all values with nearest whole number, except the \( F \) test statistic (to 2 decimals) and the \( p \)-value (to 4 decimals). | Source of Variation | Degrees of Freedom | Sum of Squares | Mean Square | \( F \) | \( p \)-value | |---------------------|--------------------|----------------|-------------|-------|-------------| | Regression | | | | | | | Error | | | | | | | Total | | | | | | What is your conclusion? - Select your answer -
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