picture Click here for the Excel Data File (a) Write the fitted regression equation. (Round your answers to 4 decimal places.) X (b) Construct a 95% confidence interval for the slope. (Round your answers to 3 decimal places.) The 95% confidence interval is from to

MATLAB: An Introduction with Applications
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(c) Choose the appropriate hypotheses and decision rule for a right-tailed t-test for zero slope at \( \alpha = 0.05 \).

a. \( H_0: \beta_1 \leq 0 \) versus \( H_1: \beta_1 > 0 \). Reject the null hypothesis if \( t_{calc} < 1.697 \)

b. \( H_0: \beta_1 \leq 0 \) versus \( H_1: \beta_1 > 0 \). Reject the null hypothesis if \( t_{calc} > 1.697 \)

- \( \bigcirc \) a
- \( \bigcirc \) b

(d-1) Find the \( p \)-value and the \( t \) statistic for the slope. *(Round your answers to 4 decimal places. Leave no cells blank - be certain to enter "0" whenever required.)*

|          |         |
|----------|---------|
| t        |         |
| p-value  |         |

(d-2) We reject the null hypothesis.

- \( \bigcirc \) Yes
- \( \bigcirc \) No
Transcribed Image Text:(c) Choose the appropriate hypotheses and decision rule for a right-tailed t-test for zero slope at \( \alpha = 0.05 \). a. \( H_0: \beta_1 \leq 0 \) versus \( H_1: \beta_1 > 0 \). Reject the null hypothesis if \( t_{calc} < 1.697 \) b. \( H_0: \beta_1 \leq 0 \) versus \( H_1: \beta_1 > 0 \). Reject the null hypothesis if \( t_{calc} > 1.697 \) - \( \bigcirc \) a - \( \bigcirc \) b (d-1) Find the \( p \)-value and the \( t \) statistic for the slope. *(Round your answers to 4 decimal places. Leave no cells blank - be certain to enter "0" whenever required.)* | | | |----------|---------| | t | | | p-value | | (d-2) We reject the null hypothesis. - \( \bigcirc \) Yes - \( \bigcirc \) No
A regression was performed using data on 32 NFL teams. The variables were \( Y \) = current value of the team (millions of dollars) and \( X \) = total debt held by the team owners (millions of dollars).

| Variables | Coefficients | Std. Error  |
|-----------|--------------|-------------|
| Intercept | 557.4511     | 25.3385     |
| Debt      | 3.0047       | 0.8820      |

[Click here for the Excel Data File]

**(a) Write the fitted regression equation. (Round your answers to 4 decimal places.)**

\[ y = \square + \square \times X \]

**(b) Construct a 95% confidence interval for the slope. (Round your answers to 3 decimal places.)**

The 95% confidence interval is from \[ \square \] to \[ \square \]
Transcribed Image Text:A regression was performed using data on 32 NFL teams. The variables were \( Y \) = current value of the team (millions of dollars) and \( X \) = total debt held by the team owners (millions of dollars). | Variables | Coefficients | Std. Error | |-----------|--------------|-------------| | Intercept | 557.4511 | 25.3385 | | Debt | 3.0047 | 0.8820 | [Click here for the Excel Data File] **(a) Write the fitted regression equation. (Round your answers to 4 decimal places.)** \[ y = \square + \square \times X \] **(b) Construct a 95% confidence interval for the slope. (Round your answers to 3 decimal places.)** The 95% confidence interval is from \[ \square \] to \[ \square \]
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