Next, the analysts performed a linear regression model to explore the relationsh
ID: 3039891 • Letter: N
Question
Next, the analysts performed a linear regression model to explore the relationship between Intervention Group and Patient's HA1C at Next PCP Visit accounting for whether or not the patient made a follow up appointment and also how long it took to discharge the patient. Results are shown below. Which of the following is/are correct interpretation(s) of the regression model? (select all that apply)
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) even after accounting for other variables in the model.
The coefficient for Group 4 was -7.3358, which means that compared to patients in Group 1, patients in Group 4 had HA1C levels 7.3558 units lower after accounting for other variables in the model.
The coefficient for Group 4 was -0.0165, which means that compared to patients in Group 1, patients in Group 4 had HA1C levels 0.0165 units lower after accounting for other variables in the model.
A.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) even after accounting for other variables in the model.
B.The coefficient for Group 4 was -7.3358, which means that compared to patients in Group 1, patients in Group 4 had HA1C levels 7.3558 units lower after accounting for other variables in the model.
C.The coefficient for Group 4 was -0.0165, which means that compared to patients in Group 1, patients in Group 4 had HA1C levels 0.0165 units lower after accounting for other variables in the model.
D.Patient discharge time was not a significant predictor in the model after accounting for other variables in the model.
SUMMARY OUTPUT Regression Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.6655 0.4429 0.4164 0.0079 ANOVA MS Significance F 0.0000 Regression Residual Total 105 110 0.0052 0.0010 16.6951 0.00650.0001 0.0117 coefficients 0.0939 0.0019 0.0087 0.0165 0.0003 0.0000 Upper 95.0% 0.0986 0.0025 0.0042 0.0121 0.0036 0.0000 standard Error P-value 0.0024 39.5952 0.0000 0.0022-0.8707 0.3859 0.0023-3.8305 0.0002 0.0023 7.3358 0.0000 0.00170.16700.8677 0.0000-0.9728 0.3329 Lower 95% Upper 95% 0.0986 0.0025 0.0042 0.0121 0.0036 0.0000 Lower 95.0% 0.0892 -0.0064 0.0132 0.0210 0.0031 0.0000 t Stat Intercept Group 2 Group 3 Group 4 Patient Made Follow Up Appointment? Discharge Cycle Time 0.0892 -0.0064 32 0.0210 -0.0031 0.0000 -0.01Explanation / Answer
A) Statement A, Group 3, 4 coefficients are -0.0087 and -0.0165. P-value is less than 0.05 significant level. Negative coefficient reduces reference mean value.
B) The coefficient for Group 4 was -7.3358. Wrong statement. -7.3358 is t-value but not coefficient value.
C) The coefficient of Group 4 value is -0.0165. To interpret the coefficient result, for every additional unit of Group 4 value output Group 1 value reduces by -0.0165 units.
D) Discharge of time is not significant (p-value - 0.3329> 0.05).
Correct statements A,C and D
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