A statistics instructor at a large Western University would like to examine the relation- ship (if any) between the number of optional homework problems students do during the semester and their final course grade. 12 students were randomly selected for the study and ask them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's mark is recorded along with their final grade. Consider the following table, Number of optional problems 51 58 62 65 68 76 77 78 78 84 85 91 66 67 Final course grade 62 68 72 73 72 78 | 73 | 76 75 66 a) Plot the scatter diagram for above data. b) State the response and predictor variables. c) Construct the least square regression equation of Final course grade on Number of optional problems. d) Using the derived regression equation predict, (i) Student's final course grade if 75 optional homework assignment are done. (ii) Number of optional homework assignments that need to be completed if a student expects on 85. e) Compute the linear correlation coefficient and classify the strength of it. (Strong, Moderate, Weak)
A statistics instructor at a large Western University would like to examine the relation- ship (if any) between the number of optional homework problems students do during the semester and their final course grade. 12 students were randomly selected for the study and ask them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's mark is recorded along with their final grade. Consider the following table, Number of optional problems 51 58 62 65 68 76 77 78 78 84 85 91 66 67 Final course grade 62 68 72 73 72 78 | 73 | 76 75 66 a) Plot the scatter diagram for above data. b) State the response and predictor variables. c) Construct the least square regression equation of Final course grade on Number of optional problems. d) Using the derived regression equation predict, (i) Student's final course grade if 75 optional homework assignment are done. (ii) Number of optional homework assignments that need to be completed if a student expects on 85. e) Compute the linear correlation coefficient and classify the strength of it. (Strong, Moderate, Weak)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can I have a detailed, step-by-step explanation for part (d) & part (e) of the following question?
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Transcribed Image Text:A statistics instructor at a large Western University would like to examine the relation-
ship (if any) between the number of optional homework problems students do during the
semester and their final course grade. 12 students were randomly selected for the study
and ask them to keep track of the number of these problems completed during the course
of the semester. At the end of the class each student's mark is recorded along with their
final grade. Consider the following table,
Number of optional problems 51 58 62 65 68 76 77 78
Final course grade
78 84 85 91
62 68 66 66
67
72
73
72
78
73
76
75
a) Plot the scatter diagram for above data.
b) State the response and predictor variables.
c) Construct the least square regression equation of Final course grade on Number of
optional problems.
d) Using the derived regression equation predict,
(i) Student's final course grade if 75 optional homework assignment are done.
(ii) Number of optional homework assignments that need to be completed if a student
expects on 85.
e) Compute the linear correlation coefficient and classify the strength of it. (Strong,
Moderate,Weak)
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