Indicate whether each of the following statements is True or False, and Briefly Justify your answer....

Indicate whether each of the following statements is True or False, and Briefly Justify your answer.

The Coefficient of Determination in a multiple linear regression model, R2, is the ratio of residual sum of squares (RSS) to total sum of squares (TSS). It tells us the percentage of unexplained variation in the dependent variable.

Expert Solution

1- The Coefficient of Determination in a multiple linear regression model .

- It is false because the coefficient of determination is a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable, when predicting the outcome of given event. R square, is a statistical measure that shows the proportion of variation explained by the estimated regression line.

2-R2 is the ratio of residual sum of squares (RSS) to total sum of squares (TSS) ,it tells us the percentage of unexplained variation in the dependent variable.

-It is true .RSS is the expression is also known as unexplained variation and is the portion of total variation that measures discrepancies (errors) between the actual values of Y and those estimated by the regression equation.

The smaller the value of RSS relative to ESS the better the regression line fits or explains the relationship between the dependent and independent variable.

Rahul Sunny answered 1 year ago

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