Question:
Choose the correct answer from the options given below: A. Slope shows in regression equation change in \(y\) per unit, B. Probabilities always remain positive, C. Sampling distribution = distribution of sample statistics, D. OLS minimizes the squared error, E. Convenience sampling is probability sampling.
Choose the correct answer from the options given below: A. Slope shows in regression equation change in \(y\) per unit, B. Probabilities always remain positive, C. Sampling distribution = distribution of sample statistics, D. OLS minimizes the squared error, E. Convenience sampling is probability sampling.
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OLS minimizes squared errors, and convenience sampling is a non-probability sampling method.
Updated On: May 22, 2026
- A, C and D Only
- A, B and E Only
- A, B, C and D Only
- A, B and D Only
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The Correct Option is A
Solution and Explanation
Concept: Regression, probability, sampling distribution and OLS are basic concepts of statistics and econometrics.
Step 1: Check statement A.
Slope in a regression equation shows the change in dependent variable \(y\) per unit change in independent variable. \[ A = \text{Correct} \]
Step 2: Check statement B.
Probability can be zero, so it is not always strictly positive. It is non-negative. \[ 0\leq P(A)\leq 1 \] \[ B = \text{Incorrect} \]
Step 3: Check statement C.
Sampling distribution is the probability distribution of a sample statistic. \[ C = \text{Correct} \]
Step 4: Check statement D.
OLS minimizes the sum of squared errors. \[ D = \text{Correct} \]
Step 5: Check statement E.
Convenience sampling is non-probability sampling. \[ E = \text{Incorrect} \] Therefore, correct statements are: \[ A, C, D \]
Step 1: Check statement A.
Slope in a regression equation shows the change in dependent variable \(y\) per unit change in independent variable. \[ A = \text{Correct} \]
Step 2: Check statement B.
Probability can be zero, so it is not always strictly positive. It is non-negative. \[ 0\leq P(A)\leq 1 \] \[ B = \text{Incorrect} \]
Step 3: Check statement C.
Sampling distribution is the probability distribution of a sample statistic. \[ C = \text{Correct} \]
Step 4: Check statement D.
OLS minimizes the sum of squared errors. \[ D = \text{Correct} \]
Step 5: Check statement E.
Convenience sampling is non-probability sampling. \[ E = \text{Incorrect} \] Therefore, correct statements are: \[ A, C, D \]
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