A simple linear regression model was created to examine the relationship between the age of patients (i.e. the independent variable) and the patients' scores on a questionnaire that measures quality of life (i.e. the dependent variable). There were n=20 patients in the study, and some of the results of the regression are presented below: Estimated intercept = 42 Standard error of the intercept = 13.6 Estimated slope = -0.64 Standard error of the slope = 0.52 Based on these results, which of the following can we conclude, based on an alpha level of 0.05 for significance
A simple linear regression model was created to examine the relationship between the age of patients (i.e. the independent variable) and the patients' scores on a questionnaire that measures quality of life (i.e. the dependent variable). There were n=20 patients in the study, and some of the results of the regression are presented below:
Estimated intercept = 42
Standard error of the intercept = 13.6
Estimated slope = -0.64
Standard error of the slope = 0.52
Based on these results, which of the following can we conclude, based on an alpha level of 0.05 for significance?
Question 16 options:
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The intercept is not significantly different from 0, but the slope is significantly different than 0. Thus, we have mixed results and we cannot make a definitive statement about the significance of the association. |
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There is a significant association, because the intercept is statistically significantly different than 0 (p<0.05). |
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There is not a significant association, because the intercept is not statistically significantly different than 0 (p>0.05). |
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The intercept is significantly different from 0, but the slope is not significantly different than 0. Thus we have mixed results and we cannot make a definitive statement about the significance of the association. |
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There is a significant association, because the slope is statistically significantly different from 0 (p<0.05). |
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There is no significant association, because the slope is not statistically significantly different from 0 (p>0.05). |
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