a) Prove that the correlation coefficient is 0.975. b) Interpret the value of the correlation coefficient in a). c) State the value of the coefficient of determination. Interpret its meaning.
a) Prove that the correlation coefficient is 0.975. b) Interpret the value of the correlation coefficient in a). c) State the value of the coefficient of determination. Interpret its meaning.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Coefficients
Standardized
Unstandardized Coefficients
Coefficients
Model
B
Std. Error
Beta
Sig.
1
(Constant)
3.927
4.134
950
365
Age
13.997
1.002
975
13.971
.000
a. Dependent Variable: Mileage
a) Prove that the correlation coefficient is 0.975.
b) Interpret the value of the correlation coefficient in a).
c) State the value of the coefficient of determination. Interpret its meaning.
d) Based on the SPSS output, write the complete regression equation.
e) Based on the regression equation in d), interpret the slope in the context of the problem.
f) Predict the mileage of the car if the age of the used car is 4.3 years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eaf0613-3b6e-4f9f-bbe0-1b3d228ce12b%2Fd97e1f43-a025-48ba-aaad-d74212b0d42d%2Fkbxfk6c_processed.png&w=3840&q=75)
Transcribed Image Text:Coefficients
Standardized
Unstandardized Coefficients
Coefficients
Model
B
Std. Error
Beta
Sig.
1
(Constant)
3.927
4.134
950
365
Age
13.997
1.002
975
13.971
.000
a. Dependent Variable: Mileage
a) Prove that the correlation coefficient is 0.975.
b) Interpret the value of the correlation coefficient in a).
c) State the value of the coefficient of determination. Interpret its meaning.
d) Based on the SPSS output, write the complete regression equation.
e) Based on the regression equation in d), interpret the slope in the context of the problem.
f) Predict the mileage of the car if the age of the used car is 4.3 years.
![Hashim Motors Sdn. Bhd. specializes in selling a secondhand car. Currently, the company
has 12 used cars for sale. The owner of the company wants to investigate the relationship
between the age of the car and the mileage of the car. The data were collected and
analyzed using SPSS. The results as follow.
Car's age (years) | 6 4 2 2.5 3
Mileage ('000 km) | 93 60 33 36 53 59 48 77
4
5 5.5 4.5 4.5 3.5
79 61 63 50
3
Model Summary
Adjusted R
Std. Error of the
Model
R
R Square
Square
Estimate
1
.975
.951
.946
4.036
a. Predictors: (Constant), Age](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eaf0613-3b6e-4f9f-bbe0-1b3d228ce12b%2Fd97e1f43-a025-48ba-aaad-d74212b0d42d%2Fxcy6qww_processed.png&w=3840&q=75)
Transcribed Image Text:Hashim Motors Sdn. Bhd. specializes in selling a secondhand car. Currently, the company
has 12 used cars for sale. The owner of the company wants to investigate the relationship
between the age of the car and the mileage of the car. The data were collected and
analyzed using SPSS. The results as follow.
Car's age (years) | 6 4 2 2.5 3
Mileage ('000 km) | 93 60 33 36 53 59 48 77
4
5 5.5 4.5 4.5 3.5
79 61 63 50
3
Model Summary
Adjusted R
Std. Error of the
Model
R
R Square
Square
Estimate
1
.975
.951
.946
4.036
a. Predictors: (Constant), Age
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