regression through the origin yields an equivalent slope if you center the data first
normalizing variables results in the slope being the correlation
least squares is not an estimation tool
none of the mentioned
Answer is Right!
Answer is Wrong!
The correct answer is: B. normalizing variables results in the slope being the correlation.
- A. regression through the origin yields an equivalent slope if you center the data first is correct. This is because the slope of the regression line is the change in the dependent variable for a unit change in the independent variable, after controlling for the mean of the dependent variable. When you center the data, you are essentially subtracting the mean from each observation, which has the effect of making the mean of the dependent variable equal to 0. This means that the slope of the regression line will be the change in the dependent variable for a unit change in the independent variable, without any adjustment for the mean of the dependent variable.
- C. least squares is not an estimation tool is incorrect. Least squares is a method of estimating the parameters of a linear regression model. The parameters of a linear regression model are the intercept and the slope of the regression line. Least squares minimizes the sum of the squared distances between the observed data points and the regression line.
- D. none of the mentioned is incorrect. All of the statements are correct, except for statement B.