Question 21Which of the following statements about the regression line is not correct?1 pointTheconstant indicates the place where the regression line crosses the Y-axis. The regression line is the line of which the sum of the residuals is the smallest.The regression line can run horizontally.The regression coefficient is the change in the Y value with 1 unit increase in the X value.
Question
Question 21Which of the following statements about the regression line is not correct?1 pointTheconstant indicates the place where the regression line crosses the Y-axis. The regression line is the line of which the sum of the residuals is the smallest.The regression line can run horizontally.The regression coefficient is the change in the Y value with 1 unit increase in the X value.
Solution
The statement that is not correct is "The regression line can run horizontally." While it's technically possible for a regression line to be horizontal if there is no relationship between the variables, in the context of regression analysis, we're typically interested in situations where there is some relationship between the variables. A horizontal regression line would suggest that changes in the X value have no effect on the Y value, which is generally not the case in regression analysis.
Similar Questions
42.In practice, the line of best fit or regression line is found when: A. Sum of the square of residuals ( ? (Y-h(X))2) is minimum B. Sum of residuals (?(Y – h(X))) is minimum C. Sum of the absolute value of residuals (?|Y-h(X)|) is maximum D. Sum of the square of residuals ( ? (Y-h(X))2) is maximum
The slope of a regression line represents:a.The average change in the dependent variable for a unit change in the independent variableb.The intercept of the regression linec.The correlation coefficient between the variablesd.The residual value in regression analysis
43.A linear regression line has an equation of the form Y = a + bX, what is X and Y? A. Where X is not the explanatory variable and Y is the dependent variable B. Where X is the explanatory variable and Y is the independent variable. C. Where X is the explanatory variable and Y is the dependent variable D. Where X and Y are the independent variable
Read the following description of a data set.The manager at a new bank wants to hire enough tellers to ensure no customer waits in line too long. To gather more information, she waits in line at other local banks.At each bank the manager notes the number of teller windows that are open, x, as well as the number of minutes she has to wait in line before being served, y.The least squares regression line of this data set is:y=–0.607x+4.858Complete the following sentence:The least squares regression line predicts that for each additional open window, the time spent waiting in line decreases by minutes.
What does it mean to say that a data point has a residual of 1?A.The point lies 1 unit above the regression line.B.The point lies 1 unit below the regression line.C.The point lies directly on the regression line.D.The x-coordinate of the point is 1.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.