b-1. Determine the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Y – y (x – (y – ) (x – x) (y – ý). 9.0 8.1 1.192 0.007 1.420 0.099 7.0 6.0 -0.908 3.674 0.825 1.741 11.0 3.6 2.083 4.340 10.945 -6.892 12.0 4.0 3.083 9.507 8.458 -8.967 8.0 5.0 -0.917 -1.908 3.642 1.749 7.0 10.0 -1.917 3.092 9.558 -5.926 8.0 7.6 -0.917 0.692 0.840 -0.634 11.0 8.0 2.083 1.092 4.340 2.274 10.0 8.0 1.083 1.092 1.174 1.192 12.0 6.0 3.083 -0.908 9.507 0.825 6.0 8.6 -2.917 1.692 8.507 2.862 -4.934 6.0 8.e -2.917 1.092 8.507 1.192 -3.184 107.000 82.900 y = Sx Sy -| b-2. Determine the coefficient of determination. (Round your answer to 3 decimal places.) Coefficient of determination

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The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year.

| Car | Age (years) | Selling Price ($1000) |
|-----|------------|----------------------|
| 1   | 9          | 8.1                  |
| 2   | 7          | 6.0                  |
| 3   | 11         | 3.6                  |
| 4   | 12         | 4.0                  |
| 5   | 8          | 5.0                  |
| 6   | 7          | 10.0                 |
| 7   | 8          | 7.6                  |
| 8   | 11         | 8.0                  |
| 9   | 10         | 8.8                  |
| 10  | 12         | 6.0                  |
| 11  | 6          | 8.6                  |
| 12  | 6          | 8.0                  |

[Click here for the Excel Data File]

a. If we want to estimate the selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable?

[Box for answer: "Age" is the independent variable and "Selling Price" is the dependent variable.]
Transcribed Image Text:The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. | Car | Age (years) | Selling Price ($1000) | |-----|------------|----------------------| | 1 | 9 | 8.1 | | 2 | 7 | 6.0 | | 3 | 11 | 3.6 | | 4 | 12 | 4.0 | | 5 | 8 | 5.0 | | 6 | 7 | 10.0 | | 7 | 8 | 7.6 | | 8 | 11 | 8.0 | | 9 | 10 | 8.8 | | 10 | 12 | 6.0 | | 11 | 6 | 8.6 | | 12 | 6 | 8.0 | [Click here for the Excel Data File] a. If we want to estimate the selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable? [Box for answer: "Age" is the independent variable and "Selling Price" is the dependent variable.]
Certainly! Below is the transcribed content as it might appear on an educational website:

---

### Determining the Correlation Coefficient and the Coefficient of Determination

#### b-1. Determine the Correlation Coefficient

(Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

| \(x\)  | \(y\) | \((x - \bar{x})\) | \((y - \bar{y})\) | \((x - \bar{x})^2\) | \((y - \bar{y})^2\) | \((x - \bar{x})(y - \bar{y})\) |
|--------|-------|------------------|------------------|---------------------|---------------------|------------------------------|
| 7.0    | 6.1   |        | 1.192            | 0.007               | 1.420               | 0.099                        |
| 9.0    | 8.4   |     | -0.908           | 3.674               | 0.825               | 1.741                        |
| 11.0   | 3.6   | -1.083           |   | 4.340               | 10.945              | -6.892                       |
| 8.0    | 4.8   | -0.083           | -3.908           | 9.507               | 8.458               | -8.967                       |
| 8.0    | 5.0   | -0.917           |     | 0.840               | 3.642               | 1.749                        |
| 7.0    | 2.4   | -1.083           |  | 4.340               | 9.558               | -5.926                       |
| 8.8    | 7.6   |   | -1.092           | 1.174               | 0.402               | -0.634                       |
| 6.5    | 9.6   | -2.417           | 3.592            | 5.848               | 2.274               | 2.274                        |
| 12.0   | 6.0   |
Transcribed Image Text:Certainly! Below is the transcribed content as it might appear on an educational website: --- ### Determining the Correlation Coefficient and the Coefficient of Determination #### b-1. Determine the Correlation Coefficient (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) | \(x\) | \(y\) | \((x - \bar{x})\) | \((y - \bar{y})\) | \((x - \bar{x})^2\) | \((y - \bar{y})^2\) | \((x - \bar{x})(y - \bar{y})\) | |--------|-------|------------------|------------------|---------------------|---------------------|------------------------------| | 7.0 | 6.1 | | 1.192 | 0.007 | 1.420 | 0.099 | | 9.0 | 8.4 | | -0.908 | 3.674 | 0.825 | 1.741 | | 11.0 | 3.6 | -1.083 | | 4.340 | 10.945 | -6.892 | | 8.0 | 4.8 | -0.083 | -3.908 | 9.507 | 8.458 | -8.967 | | 8.0 | 5.0 | -0.917 | | 0.840 | 3.642 | 1.749 | | 7.0 | 2.4 | -1.083 | | 4.340 | 9.558 | -5.926 | | 8.8 | 7.6 | | -1.092 | 1.174 | 0.402 | -0.634 | | 6.5 | 9.6 | -2.417 | 3.592 | 5.848 | 2.274 | 2.274 | | 12.0 | 6.0 |
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