Here are three questions about statistics, please answer them: 1. The residual is defined as the difference between: a. the actual value of y and the estimated value of y b. th... Here are three questions about statistics, please answer them: 1. The residual is defined as the difference between: a. the actual value of y and the estimated value of y b. the actual value of x and the estimated value of x c. the actual value of y and the estimated value of x d. the actual value of x and the estimated value of y 2. The coefficient of determination $R^2$ measures the amount of: a. variation in y that is explained by variation in x b. variation in x that is explained by variation in y c. variation in y that is unexplained by variation in x d. variation in x that is unexplained by variation in y 3. In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x b. change in x per unit change in y c. value of y when x = 0 d. value of x when y = 0
Understand the Problem
The image presents three multiple-choice questions related to statistical concepts. The first asks about the definition of a residual. The second asks about the coefficient of determination R². The third asks about the interpretation of the y-intercept in a simple linear regression model. These questions assess understanding of fundamental concepts in regression analysis.
Answer
1) a, 2) a, 3) c
The answers are: 1) a, 2) a, 3) c
Answer for screen readers
The answers are: 1) a, 2) a, 3) c
More Information
The residual is the difference between the actual and predicted value. The coefficient of determination measures the amount of variation in y explained by x. The y-intercept represents the value of y when x is 0.
Tips
Double check you are using y and x correctly for the questions.
Sources
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