The analysts performed a linear regression model to explore the relationship bet

Question

The analysts performed a linear regression model to explore the relationship between Intervention Group and Patient's HA1C at Next PCP Visit. Results are shown below. Which of the following are correct interpretations of the regression model? (select all that apply)

Since Group 1 was not listed in the regression output, this group will serve as the reference group for this model

The coefficient for Group 2 was negative, which means that this group had lower HA1C than the reference group. However this was not significant (p > 0.05)

The coefficients for Groups 3 and 4 were negative, which means that these groups had lower HA1C than the reference group. These differences were each significant (p < 0.05)

Using only these model results, we can conclude that since the coefficient for Group 4 (-0.0162) was lower than the coefficient for Group 3 (-0.087), Group 4 had the lowest HA1C levels.

This intervention was successful because receiving the newly redesigned discharge email directly caused patients’ HA1C levels to be lower.

A.

Since Group 1 was not listed in the regression output, this group will serve as the reference group for this model

B.

The coefficient for Group 2 was negative, which means that this group had lower HA1C than the reference group. However this was not significant (p > 0.05)

C.

The coefficients for Groups 3 and 4 were negative, which means that these groups had lower HA1C than the reference group. These differences were each significant (p < 0.05)

D.

Using only these model results, we can conclude that since the coefficient for Group 4 (-0.0162) was lower than the coefficient for Group 3 (-0.087), Group 4 had the lowest HA1C levels.

E.

This intervention was successful because receiving the newly redesigned discharge email directly caused patients’ HA1C levels to be lower.

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.6615 0.4376 0.4219 0.0078 ANOVA Significance F 0.0000 MS Regression Residual Total 3 107 110 0.0051 0.0017 27.7567 0.0066 0.0001 0.0117 Coefficients 0.0922 0.0015 0.0087 0.0162 Standard Error P-value 0.0015 59.8983 0.0000 0.0022-0.6936 0.4894 0.0022-3.8626 0.0002 0.0020-7.9867 0.0000 Lower 95% Upper 95% 0.0952 0.0028 0.0042 0.0122 Lower 95.0% 0.0891 0.0058 0.0131 0.0203 Upper 95.0% 0.0952 0.0028 0.0042 0.0122 t Stat Intercept Group 2 Group 3 Group 4 0.0891 0.0058 0.0131 0.0203

Explanation / Answer

All the 5 options are applicable here.

Option 5 is applicable because of the moderately high value of Multiple R, a very low value of Standard Error and the p-value of the F test (for the overall significance of the model) being < 0.05.
Option 1 is applicable because dummy variables for all the groups were created by the regression model apart from Group 1.
The remaining 3 options can be judged from the values provided in the regression analysis output table.

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