The paired data below show the Coursework marks of 6 randomly selected students from a statistics course at UWI andtheir Final Exam marks in the same course.Coursework Mark, xFinal Exam Mark, y> x <-c(27, 28, 12, 41, 33, 9)>y<-c(22, 34, 17, 45, 33, 16)>result <- lm (y x)> summary (result).Call:1m (formula y x)Residuals:1A2722B2834A linear regression equation was found using R, and the output is shown below.234-7.5563 3.5822 0.3659 3.3830 -1.7252 1.9509StudentCoefficients:Estimate Std. Error t value Pr (>t|)(Intercept) 6.2964 4.6774 1.346 0.249490.1706 5.048 0.00724 **0.8615Cс1217D4145Signif. codes: 0 **** 0.001 **0.01 0.05 0.11Residual standard error: 4.698 on 4 degrees of freedomMultiple R-squared: 0.8643, Adjusted R-squared: 0.8304F-statistic: 25.49 on 1 and 4 DF, p-value: 0.007239E3333F916a) Write out the model for the simple linear regression. Define all terms used in the model.b) What are the values of the intercept and the slope of the regression equation?c) Write out the regression equation.d) A UWI student in this Mathematics course obtains a coursework mark of 30. What is the best predicted value of theirFinal Exam mark?e) Should this regression equation be used to predict the test score of a UWI student in this Mathematics course whoobtains a coursework mark of 49? Explain briefly.

a) Write out the model for the simple linear regression. Define all terms used in the model. b) What are the values of the intercept and the slope of the regression equation? c) Write out the regression equation.

a) Write out the model for the simple linear regression. Define all terms used in the model. b) What are the values of the intercept and the slope of the regression equation? c) Write out the regression equation.

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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Question

The paired data below show the Coursework marks of 6 randomly selected students from a statistics course at UWI and
their Final Exam marks in the same course.
Coursework Mark, x
Final Exam Mark, y
> x <-c(27, 28, 12, 41, 33, 9)
>y<-c(22, 34, 17, 45, 33, 16)
>result <- lm (y x)
> summary (result).
Call:
1m (formula y x)
Residuals:
1
A
27
22
B
28
34
A linear regression equation was found using R, and the output is shown below.
2
3
4
-7.5563 3.5822 0.3659 3.3830 -1.7252 1.9509
Student
Coefficients:
Estimate Std. Error t value Pr (>t|)
(Intercept) 6.2964 4.6774 1.346 0.24949
0.1706 5.048 0.00724 **
0.8615
C
с
12
17
D
41
45
Signif. codes: 0 **** 0.001 **0.01 0.05 0.11
Residual standard error: 4.698 on 4 degrees of freedom
Multiple R-squared: 0.8643, Adjusted R-squared: 0.8304
F-statistic: 25.49 on 1 and 4 DF, p-value: 0.007239
E
33
33
F
9
16
a) Write out the model for the simple linear regression. Define all terms used in the model.
b) What are the values of the intercept and the slope of the regression equation?
c) Write out the regression equation.
d) A UWI student in this Mathematics course obtains a coursework mark of 30. What is the best predicted value of their
Final Exam mark?
e) Should this regression equation be used to predict the test score of a UWI student in this Mathematics course who
obtains a coursework mark of 49? Explain briefly.

Expert Solution

Step 1: Given Information:

It is given that the R output of paired data in table form.

Note: According to Bartleby expert guidelines, we can answer only first question with their three sub parts and rest can be reposted.

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Solved in 3 steps with 1 images

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