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.

19 Jan 2026
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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__________ ____.
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