The figure for this exercise is a scatterplot of y with the following formula. Average math = 575 600 Average math SAT 575. 550 $525. 500- - = 1.11(Percent took) average math test score versus x = percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed 475 10 20 30 40 50 60 70 80 Percent taking test 90 (a) The slope of the equation is -1.11. Interpret this value in the context of how average math test changes when the percent of graduates taking the test changes. Average math test decreases 1.11 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test increases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test. O O O O (b) In a certain state, only 7% of graduates take the test. What is the predicted average math test score for this state? (Round your answer to two decimal places.) (c) Suppose that the average math test score was 576 for the state in part (b). What is the residual (prediction error) for this state? (Round your answer to two decimal places.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
Question
The figure for this exercise is a scatterplot of y
with the following formula.
Average math =
575
600
Average math SAT
575.
550
$525.
500-
-
=
1.11(Percent took)
average math test score versus x = percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed
475
10 20
30
40 50 60 70 80
Percent taking test
90
(a) The slope of the equation is -1.11. Interpret this value in the context of how average math test changes when the percent of graduates taking the test changes.
Average math test decreases 1.11 points per each 1-percent decrease in the percentage of high school graduates taking the test.
Average math test decreases 575 points per each 1-percent increase in the percentage of high school graduates taking the test.
Average math test decreases 575 points per each 1-percent decrease in the percentage of high school graduates taking the test.
Average math test increases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test.
Average math test decreases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test.
O O O O
(b) In a certain state, only 7% of graduates take the test. What is the predicted average math test score for this state? (Round your answer to two decimal places.)
(c) Suppose that the average math test score was 576 for the state in part (b). What is the residual (prediction error) for this state? (Round your answer to two decimal places.)
Transcribed Image Text:The figure for this exercise is a scatterplot of y with the following formula. Average math = 575 600 Average math SAT 575. 550 $525. 500- - = 1.11(Percent took) average math test score versus x = percent of graduating seniors who took the test for the 50 states. The regression line for these data is expressed 475 10 20 30 40 50 60 70 80 Percent taking test 90 (a) The slope of the equation is -1.11. Interpret this value in the context of how average math test changes when the percent of graduates taking the test changes. Average math test decreases 1.11 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 575 points per each 1-percent decrease in the percentage of high school graduates taking the test. Average math test increases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test. Average math test decreases 1.11 points per each 1-percent increase in the percentage of high school graduates taking the test. O O O O (b) In a certain state, only 7% of graduates take the test. What is the predicted average math test score for this state? (Round your answer to two decimal places.) (c) Suppose that the average math test score was 576 for the state in part (b). What is the residual (prediction error) for this state? (Round your answer to two decimal places.)
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