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Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied.

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Presentation on theme: "Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied."— Presentation transcript:

1 Suppose the maximum number of hours of study among students in your sample is 6. If you used the equation to predict the test score of a student who studied 10 hours a day, your prediction would be considered a (an): Regression constant B) Influential point C) Interpolation D) Extrapolation E) None of the above

2 2) In which of the following scenarios would it be most appropriate to do an interpolation using a LSRL? A) There’s a high positive correlation B) Residuals follow a linear pattern C) There’s a strong negative correlation, and residuals follow a u-shaped pattern D) There’s a strong negative correlation, and the residuals are randomly scattered E) There’s no correlation, and the residuals are randomly scattered

3 3) Consider the three points (2,11), (3,17), and (4,29)
3) Consider the three points (2,11), (3,17), and (4,29). Given any straight line, we can calculate the sum of the squares of the three vertical distances from these points to the line. What is the smallest possible value this sum can be? A) 6 B) 9 C) 29 D) 57 E) None of these values

4 4) Consider the set of points {(2,5), (3,7), (4,9), (5,12), (10,n)}
4) Consider the set of points {(2,5), (3,7), (4,9), (5,12), (10,n)}. What should n be so that the correlation between the x and y values is 1? A) 21 B) 24 C) 25 D) A value different from any above E) No value for n can make r = 1

5 I. The variables X and Y also have a correlation close to 1
5) Suppose that the scatterplot for log X and log Y shows a strong positive correlation close to 1. Which of the following is true? I. The variables X and Y also have a correlation close to 1 II. A scatterplot for X and Y shows a nonlinear pattern III. The residual plot of X and Y shows a random pattern A) I only B) II only C) III only D) I and II E) I, II, III

6 6) Given the LSRL with r = What is the predicted y value if x is 1915? a) b) c) d) e)

7 7) U.S. Population (in millions) Residual Plot
the regression equation will underestimate the population for 1915. A) True B) False

8 8) Describe the strength and direction of the relationship with a coefficient of determination equal to 0.49. a) moderate and negative b) weak and negative c) Moderate and positive d) weak and positive e) It can not be determined with the given information

9 9) Pearson’s correlation coefficient (r) is considered a symmetric measure because:
a) its values range from 0 to 1 b) it indicates the causal relationship between two variables c) the sign of r is the same as the sign of the regression coefficient d) it will be the same regardless of which variable is x and which is y e) none of the above

10 10) The point labeled A in the graph below:
I. is an influential point II. is an outlier III. would have a significant effect on the regression line if removed IV. has a large residual a) I only b) II only c) III only d) II and IV only e) I an IV only

11 11) Which of the following statements about outliers are true?
I. Removing an outlier from a data has a major effect on the regression line II. If you calculated the residual between the outlier and a regression line based on the rest of the data, it would most likely be large. III. You will typically find an outlier horizontally distant from the rest of the data along the x-axis a) I only b) II only c) III only d) I, II, III e) None of the statements are true

12 12) Which of these scatterplots could have this as its residual plot?
E none of these A B C D E


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