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Question 9 2 pts The correlation coefficient between two variables, X and Y is,

ID: 3314965 • Letter: Q

Question

Question 9 2 pts The correlation coefficient between two variables, X and Y is, -0.5. Which of the following is incorrect? O As X increases Y decreases 0 The coefficient of determination for the least squares line will be positive O The slope of a linear line fit by least squares regression will be negative The intercept of the least squares line will always be negative Question 10 2 pts You built a least squares model based on 20 data points as 2+3X, and the F-stat for the model was 4·The next week, you collected 20 more data points and you applied the least squares method again to build a model. Which of the following is true? O The slope and intercept of the new line will be the same as 2 and 3 respectively, and F stat will increase O The slope and intercept of the new line can be different from 2 and 3 respectively, and F stat will increase O The slope and intercept of the new line will be the same as 2 and 3 respectively, and F stat will decrease O The slope and intercept of the new line can be different from 2 and 3 respectively, and we cannot know whether F-stat will increase or decrease

Explanation / Answer

Question 9) The intercept of the least square line will always be negative

Question 10) The slope and intercept of the new line can be different from 2 and 3 respectively, and we cannot know whether F-stat will increase or decrease

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