Give step-by-step solution with explanation and final answer:"Which of the following is a method for reducing multicollinearity in regression analysis? Options: A. Adding more predictor variables B. Increasing the sample size C. Removing highly correlated predictors D. Using a higher significance level"
Question:
Give step-by-step solution with explanation and final answer:
"Which of the following is a method
for reducing multicollinearity in
regression analysis?
Options:
A. Adding more predictor variables
B. Increasing the sample size
C. Removing highly correlated
predictors
D. Using a higher significance level"
This is AI generated Response.
Asked by: Mohammad Yaseer Arafath
Created at: 2025-12-06 00:18:49
Asked by: Mohammad Yaseer Arafath
Created at: 2025-12-06 00:18:49
Final Answer:
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## Step-by-Step Solution
### Step 1: Understanding Multicollinearity
- **Multicollinearity** occurs when two or more predictor variables in a regression model are highly correlated.
- This makes it difficult to determine the individual effect of each predictor on the dependent variable.
### Step 2: Analyzing Each Option
#### Option A: Adding more predictor variables
- **Effect:** Adding more predictors can actually increase the risk of multicollinearity, not reduce it.
#### Option B: Increasing the sample size
- **Effect:** Increasing sample size may stabilize coefficient estimates, but it does **not** directly address multicollinearity among predictors.
#### Option C: Removing highly correlated predictors
- **Effect:** If you remove predictors that are highly correlated with others, you reduce multicollinearity because the remaining variables are less correlated.
#### Option D: Using a higher significance level
- **Effect:** Changing the significance level does not affect multicollinearity; it only changes the threshold for statistical significance.
### Step 3: Selecting the Correct Answer
- The only method among the options that directly addresses the issue of multicollinearity is **removing highly correlated predictors**.
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## Final Answer
**C. Removing highly correlated predictors**
This is the correct method for reducing multicollinearity in regression analysis.
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