
Answer-first summary for fast verification
Answer: Multicollinearity
## Explanation **Option B is correct** - Multicollinearity is the most likely violated assumption when a regression model shows: - **High R²**: Good overall model fit - **Few significant t-ratios**: Individual coefficients are not statistically significant **Why multicollinearity causes this pattern:** 1. **Multicollinearity** occurs when independent variables are highly correlated with each other 2. This makes it difficult for the regression to determine the individual contribution of each variable 3. The overall model may still fit well (high R²), but individual coefficients become unstable and have large standard errors 4. This leads to insignificant t-statistics and high p-values for individual variables **Why other options don't fit this pattern:** - **Homoscedasticity violation**: Would affect standard errors but typically doesn't cause the specific pattern of high R² with insignificant t-ratios - **Error term normality**: Violation affects hypothesis testing but doesn't specifically cause high R² with insignificant coefficients - **Autocorrelation**: Primarily affects time series data and would show patterns in residuals, not necessarily high R² with insignificant t-ratios This scenario perfectly matches the multicollinearity problem observed in the previous question with the Russell indexes.
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Our linear regression produces a high coefficient of determination (R²) but few significant t ratios. Which assumption is most likely violated?
A
Homoscedasticity
B
Multicollinearity
C
Error term is normal with mean = 0 and constant variance = sigma²
D
No autocorrelation between error terms
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