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The table below shows the marks out of 40 for nine students on two tests. The tests cover similar content but on one test the students are allowed to use a calculator while on the other test calculators are not allowed. A Calculator allowed (x) 8 Non-calculator (y) 12 (b) Student (c) B 10 14 с 14 14 6 4 D E 16 28 G H F 22 28 16 24 (a) Student J scored 25 on the test with calculators allowed, but missed the non-calculator test. Use the marks for students A to I to find the value of the Pearson correlation coefficient between the marks x on the test with calculator allowed and the marks y on the non-calculator test, and the equation of the least squares regression line of y on x. I 32 36 22 18 Use the least squares regression line of y on x to estimate the mark of student J on the non-calculator test. Describe the strength of the correlation between the marks on the two tests and explain how this may affect the accuracy of your estimate.

The table below shows the marks out of 40 for nine students on two tests. The tests cover similar content but on one test the students are allowed to use a calculator while on the other test calculators are not allowed. A Calculator allowed (x) 8 Non-calculator (y) 12 (b) Student (c) B 10 14 с 14 14 6 4 D E 16 28 G H F 22 28 16 24 (a) Student J scored 25 on the test with calculators allowed, but missed the non-calculator test. Use the marks for students A to I to find the value of the Pearson correlation coefficient between the marks x on the test with calculator allowed and the marks y on the non-calculator test, and the equation of the least squares regression line of y on x. I 32 36 22 18 Use the least squares regression line of y on x to estimate the mark of student J on the non-calculator test. Describe the strength of the correlation between the marks on the two tests and explain how this may affect the accuracy of your estimate.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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The table below shows the marks out of 40 for nine students on two tests. The tests cover similar content but on one test the students are allowed to use a calculator while on the other test calculators are not allowed. Student A B Calculator allowed (x) 8 10 Non-calculator (y) 12 14 (b) C 14 6 Student J scored 25 on the test with calculators allowed, but missed the non-calculator test. Use the marks for students A to I to find the value of the Pearson correlation coefficient between the marks x on the test with calculator allowed and the marks y on the non-calculator test, and the equation of the least squares regression line of y on x. (a) (c) D E F G H I 14 16 22 28 32 36 4 28 16 24 22 18 Use the least squares regression line of y on x to estimate the mark of student J on the non-calculator test. Describe the strength of the correlation between the marks on the two tests and explain how this may affect the accuracy of your estimate.
Transcribed Image Text:The table below shows the marks out of 40 for nine students on two tests. The tests cover similar content but on one test the students are allowed to use a calculator while on the other test calculators are not allowed. Student A B Calculator allowed (x) 8 10 Non-calculator (y) 12 14 (b) C 14 6 Student J scored 25 on the test with calculators allowed, but missed the non-calculator test. Use the marks for students A to I to find the value of the Pearson correlation coefficient between the marks x on the test with calculator allowed and the marks y on the non-calculator test, and the equation of the least squares regression line of y on x. (a) (c) D E F G H I 14 16 22 28 32 36 4 28 16 24 22 18 Use the least squares regression line of y on x to estimate the mark of student J on the non-calculator test. Describe the strength of the correlation between the marks on the two tests and explain how this may affect the accuracy of your estimate.
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