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 62 68 66 66 67 | 72 | 73 | 72 Final course grade 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.

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 62 68 66 66 67 | 72 | 73 | 72 Final course grade 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.

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Can I have a detailed, step-by-step explanation for part (b) & part (c) of the following question?

Thank you very much!

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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