+3 points The figure for this exercise is a scatterplot of average math test sco

Question

+3 points The figure for this exercise is a scatterplot of average math test score versus percent of graduating senlors who took the test for the 50 states. The regression line for these data is expressed with the following formula. 575 550 500 475 10 Percent takng tedt Average math 575-111 (Percent took) A) From the choices below, the best interpretation of the slope estimator is For each 1-percent decrease in the percentage of high school graduates taking the test, the average math test score decreases 1.11 point For each 1.11 point decrease in average math test scores, the percentage of high school graduates taking the test increases by 1% If all high school seniors in a particular state take the exam, the average math score is expected to be 575 points cent increase in the percentage of high school graduates taking the test, the average math test decreases 1.11 points If no high h school seniors in a particular state take the exam, the average math score is expected to be 575 points B) In a certain state, only 7% of graduates take the test, what is the predicted average math test score for this state? Round the answer to two decimal places.) i C) Suppose that the average math tes st score was 574 for the state in part (b). What is the residual (prediction eror) foe this state? Round the answer to to two decimal places.)

Explanation / Answer

A) 4. For each one percent increase in the percentage of high school graduate taking the test, the averahe math test decreases 1.11 points.

B) When only 7% graduate take test, The predicted average math test is given by

average math = 575 -1.11*7

=567.23.

C) When the Average math test was 574 for the state in part b.

The residual is given by

574-567.23 =6.77

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