
Answer-first summary for fast verification
Answer: 0.98
## Explanation The proportion of sales growth explained by the regression results is measured by the **R-squared (R²)** statistic, which is calculated as: \[ R^2 = \frac{SSR}{SST} \] Where: - **SSR** = Sum of Squared Regression = 869.76 - **SST** = Total Sum of Squares = SSR + SSE - **SSE** = Sum of Squared Errors = 22.12 First, calculate SST: \[ SST = SSR + SSE = 869.76 + 22.12 = 891.88 \] Now calculate R²: \[ R^2 = \frac{869.76}{891.88} = 0.975 \approx 0.98 \] This means that **98%** of the variation in sales growth is explained by the three factors in the regression model (X₁, X₂, and X₃). **Interpretation:** - R² = 0.98 indicates a very strong relationship between the independent variables and the dependent variable - Only 2% of the variation in sales growth remains unexplained by the model - This suggests the regression model provides an excellent fit for the data Therefore, the correct answer is **B. 0.98**.
Author: LeetQuiz .
Ultimate access to all questions.
No comments yet.
Paul Graham, FRM® is analyzing the sales growth of a baby product launched three years ago by a regional company. He assesses that three factors contribute heavily towards the growth and comes up with the following results:
Sum of Squared Regression [SSR] = 869.76
Sum of Squared Errors [SSE] = 22.12
Determine what proportion of sales growth is explained by the regression results.
A
0.36
B
0.98
C
0.64
D
0.55