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Do these results answer the question “Does stress predict d

Do these results answer the question “Does stress predict d

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Do these results answer the question “Does stress predict drinking behavior?”

“How strong is this relationship?”

# Analysis of Stress and Alcohol Consumption ## Model Summary This section provides a summary of the linear regression model, which examines the relationship between stress levels and alcohol consumption. The model uses stress levels as a predictor to estimate the number of drinks consumed per week. - **R Value**: 0.363 - **R Square**: 0.132 - **Adjusted R Square**: 0.120 - **Standard Error of the Estimate**: 3.42655 ### Notes - The predictor is the constant stress level, measured on a scale from 1 to 7, which represents how stressed individuals have felt in the past week. ## ANOVA (Analysis of Variance) This table breaks down the components of variance in the model. - **Sum of Squares**: - Regression: 123.291 - Residual: 810.146 - Total: 933.437 - **Degrees of Freedom (df)**: - Regression: 1 - Residual: 69 - Total: 70 - **Mean Square**: - Regression: 123.291 - Residual: 11.741 - **F Value**: 10.501 - **Significance (Sig.)**: 0.002 ### Notes - The dependent variable is the number of drinks consumed per week. - The predictor remains stress level as described above. ## Coefficients This section provides the coefficients used in the regression equation, showing the effect of stress on alcohol consumption. - **Unstandardized Coefficients**: - **B (Constant)**: 1.583 - **Stress Level**: 0.729 - **Standard Error**: - Constant: 1.057 - Stress Level: 0.225 - **Standardized Coefficients (Beta)**: 0.363 - **t Value**: - Constant: 1.497 - Stress Level: 3.240 - **Significance (Sig.)**: - Constant: 0.139 - Stress Level: 0.002 ### Notes - The dependent variable is the number of drinks consumed per week. - A significant p-value (0.002) for stress level suggests a meaningful relationship between stress and alcohol consumption.
Transcribed Image Text:# Analysis of Stress and Alcohol Consumption ## Model Summary This section provides a summary of the linear regression model, which examines the relationship between stress levels and alcohol consumption. The model uses stress levels as a predictor to estimate the number of drinks consumed per week. - **R Value**: 0.363 - **R Square**: 0.132 - **Adjusted R Square**: 0.120 - **Standard Error of the Estimate**: 3.42655 ### Notes - The predictor is the constant stress level, measured on a scale from 1 to 7, which represents how stressed individuals have felt in the past week. ## ANOVA (Analysis of Variance) This table breaks down the components of variance in the model. - **Sum of Squares**: - Regression: 123.291 - Residual: 810.146 - Total: 933.437 - **Degrees of Freedom (df)**: - Regression: 1 - Residual: 69 - Total: 70 - **Mean Square**: - Regression: 123.291 - Residual: 11.741 - **F Value**: 10.501 - **Significance (Sig.)**: 0.002 ### Notes - The dependent variable is the number of drinks consumed per week. - The predictor remains stress level as described above. ## Coefficients This section provides the coefficients used in the regression equation, showing the effect of stress on alcohol consumption. - **Unstandardized Coefficients**: - **B (Constant)**: 1.583 - **Stress Level**: 0.729 - **Standard Error**: - Constant: 1.057 - Stress Level: 0.225 - **Standardized Coefficients (Beta)**: 0.363 - **t Value**: - Constant: 1.497 - Stress Level: 3.240 - **Significance (Sig.)**: - Constant: 0.139 - Stress Level: 0.002 ### Notes - The dependent variable is the number of drinks consumed per week. - A significant p-value (0.002) for stress level suggests a meaningful relationship between stress and alcohol consumption.
Expert Solution
Step 1

Null Hypothesis:

H0: The stress level does not predict drinking behavior.

Alternative Hypothesis:

H1: The stress level predict drinking behavior.

From the given output, the p value for testing the above hypothesis is 0.002.

Let alpha=0.05

Decision Rule:

If p-value ≤ α, then reject the null hypothesis.

 

Conclusion:

Here, the p-value is less than the level of significance.

From the decision rule, reject the null hypothesis.

The stress level predict drinking behavior.

 

 

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