Question
To study the relationship between age (in years) and cholesterol level (in mg/dL) of two groups of patients, the following data were recorded:
Group 1
| Age (years) | 46 | 52 | 39 | 65 | 54 | 49 | 76 | 71 |
|---|---|---|---|---|---|---|---|---|
| Cholesterol | 185 | 218 | 182 | 220 | 224 | 193 | 232 | 228 |
Group 2
| Age (years) | 20 | 33 | 78 | 51 | 43 | 44 | 63 |
|---|---|---|---|---|---|---|---|
| Cholesterol | 180 | 238 | 275 | 244 | 242 | 268 | 260 |
(i) Fit the multiple regression model.
(ii) Obtain the regression models for each group separately.
(iii) Test the significance of the fitted model at 5% level of significance.
Answer :
Word Count : 206
Let (Y) denote cholesterol level (mg/dL) and (X) denote age (years). Define a dummy variable (D) such that (D=0) for Group 1 and (D=1) for Group 2. For all 15 observations, the multiple regression model is taken as [ Y=\beta_0+\beta_1X+\beta_2D+e . __________ ________ __________ __________ _______ __________ _______ ____ _______ _______.
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Let (Y) denote cholesterol level (mg/dL) and (X) denote age (years). Define a dummy variable (D) such that (D=0) for Group 1 and (D=1) for Group 2. For all 15 observations, the multiple regression model is taken as [ Y=\beta_0+\beta_1X+\beta_2D+e . __________ ________ __________ __________ _______ __________ _______ ____ _______ _______.
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