The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y =1.405x – 12.307. Complete parts (a) and (b) below Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result.

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The table presents the average weekly wages (in dollars) for state government employees and federal government employees over a span of 8 years. The given regression line equation is \(\hat{y} = 1.405x - 12.307\).

| Average Weekly Wages (state), \(x\) | 751 | 760 | 791 | 817 | 835 | 881 | 924 | 951 |
|-------------------------------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Average Weekly Wages (federal), \(y\)| 1002 | 1047 | 1115 | 1149 | 1195 | 1250 | 1269 | 1300 |

**Tasks:**

(a) Find the coefficient of determination (\(r^2\)) and interpret the result.

\(r^2 = \_\_\_\_\)
Transcribed Image Text:The table presents the average weekly wages (in dollars) for state government employees and federal government employees over a span of 8 years. The given regression line equation is \(\hat{y} = 1.405x - 12.307\). | Average Weekly Wages (state), \(x\) | 751 | 760 | 791 | 817 | 835 | 881 | 924 | 951 | |-------------------------------------|-----|-----|-----|-----|-----|-----|-----|-----| | Average Weekly Wages (federal), \(y\)| 1002 | 1047 | 1115 | 1149 | 1195 | 1250 | 1269 | 1300 | **Tasks:** (a) Find the coefficient of determination (\(r^2\)) and interpret the result. \(r^2 = \_\_\_\_\)
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