1. The least squares method selects the linear regression equation by a) choosin
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Question
1. The least squares method selects the linear regression equation by a) choosing the line that passes through the most points b) choosing the line which minimizes the sum of squares of errors (residuals) c) choosing the line which has a slope of one d) choosing the line which passes through the origin If a least squares simple linear regression equation is developed to predict salary of employees from their years of experience, then the slope of the least squares equation represents the a) increase in salary for each additional year of experience b) salary of an employee whose experience level equals the average c) salary of an employee with no experience d) none of the above 2. The main difference between simple linear regression analysis and correlation analysis is that 3. only regression analysis provides information about the degree of association between the variables a) b) only regression analysis provides a mathematical equation which relates the two c) d) variables only regression can be done when the variables are quantitative only regression can be done without computer assistance 4. Suppose that you were interested in developing a regression model that would predict the average amount spent on groceries each week based on monthly rent. A random sample of 20 single family households was selected. What would you choose as your Y (dependent or response) variable when using MINITAB to develop such a model? a) household b) monthly rent c) weekly grocery expenses 5. If a plot of data on two quantitative variables shows that all the points lie on a line with a slope of +2, then the sample correlation between the two variables will be a) 2 b) 1 c) 0 d) -1 e)-2Explanation / Answer
Answers
1.(b) choosing the line which minimizes the sum of square of errors( residuals)
2.(a) increase in the salary for each additional year of expierence
3.(b) only regression provides a mathematical equation which relates the two variables
4.(c) weekly grocery expenses
5.(b) 1
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