The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is andom sample of 12 used cars sold at the dealership during the last year. Age (years) Selling Price (S000) Car 1 8.1 2 7 6.0 11 3.6 4 12 4.0 5.0 7 10.0 7 8 7.6 11 8.0 9. 10 8.0 10 12 6.0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Exercise 13-6 (LO13-2)
The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a
random sample of 12 used cars sold at the dealership during the last year.
Age
(years)
Selling Price
($000)
Car
9.
8.1
7
6.0
3
11
3.6
12
4.0
8
5.0
6.
7
10.0
7
7.6
8.
11
8.0
9
10
8.0
10
12
6.0
11
6
8.6
12
8.0
E Click here for the Excel Data File
a. If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the
independent variable?
Age
is the independent variable and selling price
s the dependent variable.
Transcribed Image Text:Exercise 13-6 (LO13-2) The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Age (years) Selling Price ($000) Car 9. 8.1 7 6.0 3 11 3.6 12 4.0 8 5.0 6. 7 10.0 7 7.6 8. 11 8.0 9 10 8.0 10 12 6.0 11 6 8.6 12 8.0 E Click here for the Excel Data File a. If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable? Age is the independent variable and selling price s the dependent variable.
b-1. Determine the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round your answers to 3
decimal places.)
y - y
(x –
(y –
(x – a) (y – 9)
y
9.0
8.1
81
1.192
0.007
1.420
0.099
7.0
6.0
49
-0.908
3.674
0.825
1.741
11.0
3.6
2.083
4.340
10.945
-6.892
12.0
4.0
3.083
9.507
8.458
-8.967
8.0
5.0
-0.917
-1.908
3.642
1.749
7.0 10.0
-1.917
3.092
9.558
-5.926
8.0
7.6
-0.917
0.692
0.840
-0.634
11.0
8.0
2.083
1.092
4.340
2.274
10.0
8.0
1.083
1.092
1.174
1.192
12.0
6.0
3.083
-0.908
9.507
0.825
6.0
8.6
-2.917
1.692
8.507
2.862
-4.934
6.0
8.0
-2.917
1.092
8.507
1.192
-3.184
107.0 82.9
Sx =
Sy =
r =
-0.544
b-2. Determine the coefficient of determination. (Round your answer to 3 decimal places.)
Coefficient of determination
Transcribed Image Text:b-1. Determine the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) y - y (x – (y – (x – a) (y – 9) y 9.0 8.1 81 1.192 0.007 1.420 0.099 7.0 6.0 49 -0.908 3.674 0.825 1.741 11.0 3.6 2.083 4.340 10.945 -6.892 12.0 4.0 3.083 9.507 8.458 -8.967 8.0 5.0 -0.917 -1.908 3.642 1.749 7.0 10.0 -1.917 3.092 9.558 -5.926 8.0 7.6 -0.917 0.692 0.840 -0.634 11.0 8.0 2.083 1.092 4.340 2.274 10.0 8.0 1.083 1.092 1.174 1.192 12.0 6.0 3.083 -0.908 9.507 0.825 6.0 8.6 -2.917 1.692 8.507 2.862 -4.934 6.0 8.0 -2.917 1.092 8.507 1.192 -3.184 107.0 82.9 Sx = Sy = r = -0.544 b-2. Determine the coefficient of determination. (Round your answer to 3 decimal places.) Coefficient of determination
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