AP Statistics Chapter 3 Review.

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Presentation transcript:

AP Statistics Chapter 3 Review

As the ellipse formed by points on a scatterplot becomes thinner, the strength of the correlation between the scores: Becomes lower Becomes higher Remains constant Becomes zero 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

The lowest strength of correlation of the following is: 0.26 -0.45 0.05 -0.90 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

The following are resistant: Least squares regression line Correlation coefficient Both of the above Neither of the above It depends 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Fastest Responders (in seconds) 23.64 Participant 1 34.13 Participant 4 34.5 Participant 12 42.24 Participant 11 42.53 Participant 14

Which of the following would not be a correct interpretation of r = - Variables are inversely related. Coefficient of determination is .09. 30% of variation between variables is linear. There is a weak relationship between the variables. All above are correct. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Equation for LSRL is y-hat = 1. 3 +0. 73x Equation for LSRL is y-hat = 1.3 +0.73x . What is the residual for the point (4,7)? 2.78 3.00 4.00 4.22 7.00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Imagine two boys on a seesaw moving up and down Imagine two boys on a seesaw moving up and down. The r value of their heights off the ground would be: 0.00 1.00 -1.00 0.50 -0.50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Participant Scores 600 Participant 11 500 Participant 7 Participant 8

If the correlation between X and Y is 0.94, which is true? X causes Y Y causes X Low scores on X are associated with high scores on Y Low scores on X are associated with low scores on Y. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

A residual plot for linear data looks linear. True False 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Test A results correlate -0 Test A results correlate -0.94 with results on the Nat’l Merit Scholarship exam. Because of the negative sign, this relationship is considered to be weak. True False 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Fastest Responders (in seconds) 7.8 Participant 4 9.55 Participant 9 10.77 Participant 12 11.16 Participant 3 11.34 Participant 1

Switching the explanatory and response variables on a scatterplot affects the Correlation LSRL Both the above Neither the above It depends 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

If the coefficient of determination between two variables is 0 If the coefficient of determination between two variables is 0.81, then the correlation is 0.90. True False It depends 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

A point on a scatterplot represents: Two scores of 2 people. One score made by 2 different people. Two different scores of 1 person. One score of 1 person. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Participant Scores 900 Participant 14 Participant 17 800 Participant 1