a. Determine the correlation coefficient r between the two variables.b. Determine the slope coefficient β1 for the regression of marks on study time.c. What will be the expected marks of a student who studied for 33 hours? To investigate the relationship between the marks (out of 100) and the amount of time spent studying (weekly in hours) the subject, a random sample of students who hadenrolled in a certain course in the last semester was taken.Study Time4026454247354230Marks8552808291708075

a. Determine the correlation coefficient r between the two variables. b. Determine the slope coefficient β1 for the regression of marks on study time. c. What will be the expected marks of a student who studied for 33 hours?

a. Determine the correlation coefficient r between the two variables. b. Determine the slope coefficient β1 for the regression of marks on study time. c. What will be the expected marks of a student who studied for 33 hours?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 6CST

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Question

a. Determine the correlation coefficient r between the two variables.

b. Determine the slope coefficient β1 for the regression of marks on study time.

c. What will be the expected marks of a student who studied for 33 hours?

To investigate the relationship between the marks (out of 100) and the amount of time spent studying (weekly in hours) the subject, a random sample of students who had
enrolled in a certain course in the last semester was taken.
Study Time
40
26
45
42
47
35
42
30
Marks
85
52
80
82
91
70
80
75

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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