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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 9CYU
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University