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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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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 Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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