Computer output for fitting a simple linear model is given below. State the value of the sample slope for the given model. In testing the slope in the population is different from zero, identify the p-value and use it (and a 5% significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y = 89.5 - 7.2X. Predictor Coef SE Coef T Constant 89.537 4.543 19.71 0.000 -7.2041 0.8406 -8.57 0.000 Sample slope: i p-value: i Is the model effective?

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**Transcription for Educational Website**

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**Understanding Simple Linear Regression Analysis**

The following information provides a computer output for fitting a simple linear model. Our goal is to determine if the slope in the population significantly differs from zero, using the p-value at a 5% significance level to conclude the model's effectiveness.

**Regression Equation:**
\[ Y = 89.5 - 7.2X \]

**Coefficients Table:**

| Predictor | Coef     | SE Coef | T     | P    |
|-----------|----------|---------|-------|------|
| Constant  | 89.537   | 4.543   | 19.71 | 0.000|
| X         | -7.2041  | 0.8406  | -8.57 | 0.000|

**Instructions:**

1. **Sample Slope:** Enter the value of the coefficient of X from the table above.
2. **p-value:** Enter the p-value associated with the slope of X.

**Question:**

- **Is the model effective?** Assess the effectiveness by analyzing the p-value and the significance level.

*Note: Use the drop-down menu to provide your response regarding the effectiveness of the model.*

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Transcribed Image Text:**Transcription for Educational Website** --- **Understanding Simple Linear Regression Analysis** The following information provides a computer output for fitting a simple linear model. Our goal is to determine if the slope in the population significantly differs from zero, using the p-value at a 5% significance level to conclude the model's effectiveness. **Regression Equation:** \[ Y = 89.5 - 7.2X \] **Coefficients Table:** | Predictor | Coef | SE Coef | T | P | |-----------|----------|---------|-------|------| | Constant | 89.537 | 4.543 | 19.71 | 0.000| | X | -7.2041 | 0.8406 | -8.57 | 0.000| **Instructions:** 1. **Sample Slope:** Enter the value of the coefficient of X from the table above. 2. **p-value:** Enter the p-value associated with the slope of X. **Question:** - **Is the model effective?** Assess the effectiveness by analyzing the p-value and the significance level. *Note: Use the drop-down menu to provide your response regarding the effectiveness of the model.* ---
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