An MDM4U teacher claims that there is a distinct relationship between a student's math mark and the student's class attendance. To prove the point, the teacher has taken a random sample from last year's class and obtained the following information: Use excel Student BCDEFG Mark #classes missed A 94 70 58 75 72 88 65 40 2 6 10 11 9 3 11 17 a. Determine the dependent variable. b. Draw the scatter plot. H c. Obtain the regression equation. d. Plot the regression line. e. Interpret the meaning of the regression coefficients a and b. f. Predict the statistics marks for two students who miss 3 classes and 10 classes respectively. g. Compute the coefficient of determination. h. Compute the coefficient of correlation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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An MDM4U teacher claims that there is a distinct relationship between a student's math mark and the student's class attendance. To prove
the point, the teacher has taken a random sample from last year's class and obtained the following information: Use excel
Student
BCDEF
Mark
#classes missed
A
94
70 58
2 6
10
75
H
72 88 65 40
11 9 3 11 17
a. Determine the dependent variable.
b. Draw the scatter plot.
c. Obtain the regression equation.
d. Plot the regression line.
e. Interpret the meaning of the regression coefficients a and b.
f. Predict the statistics marks for two students who miss 3 classes and 10 classes respectively.
g. Compute the coefficient of determination.
h. Compute the coefficient of correlation.
1. Write a few sentences to describe what kind of relationship, causation or conclusion you can draw from this analysis.
Transcribed Image Text:An MDM4U teacher claims that there is a distinct relationship between a student's math mark and the student's class attendance. To prove the point, the teacher has taken a random sample from last year's class and obtained the following information: Use excel Student BCDEF Mark #classes missed A 94 70 58 2 6 10 75 H 72 88 65 40 11 9 3 11 17 a. Determine the dependent variable. b. Draw the scatter plot. c. Obtain the regression equation. d. Plot the regression line. e. Interpret the meaning of the regression coefficients a and b. f. Predict the statistics marks for two students who miss 3 classes and 10 classes respectively. g. Compute the coefficient of determination. h. Compute the coefficient of correlation. 1. Write a few sentences to describe what kind of relationship, causation or conclusion you can draw from this analysis.
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