In the past a number of car makers produced a wide range of classic cars that continue to increase in value. The following data, based upon the Martin Rating System for Collectible Cars, show the rarity rating (1 - 20) and the highest sales price ($1000s) for 15 Classic cars.

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Chapter10: Statistics
Section10.3: Measures Of Spread
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Assignment 4 (1) - Excel
P Search
A Emerson Oakes
困
AutoSave
ff
EO
File
Home
Insert
Page Layout
Formulas
Data
Review
View
Help
A Share
P Comments
C3
fe
P
A B
In the past a number of car makers produced a wide range of classic cars that continue to increase in value. The following data, based upon the Martin
5 Rating System for Collectible Cars, show the rarity rating (1- 20) and the highest sales price ($1000s) for 15 Classic cars.
E
F
G
H
J
K
L
N
Q
R
4
6
7
Model Year
Make
Model
Rating
Price ($1000s)
8
1984
Chevrolet
18
1600
1956
Chevrolet
19
4000
10
1963
Chevrolet
18
1000
11
1978
Chevrolet
19
1300
12
1963
Ferrari
16
350
13
1964
Ferrari
19
2650
14
1962
Ferrari
18
375
15
1968
Ferrari
17
450
16
1973
Ferrari
17
140
17
1967
Jaguar
15
77.5
18
1971
Jaguar
14
62
Jaguar
Jaguar
19
1974
16
125
20
1954
17
400
21
1953
Jaguar
16
250
22
1967
Jaguar
13
70
23
24
A. Develop a scatter diagram of the data using rarity rating as the independent variable and price as the dependent variable. Does the
simple linear regression model appear to be appropriate ? Explain your Answer.
25
26
B. Develp an estimated multiple regresssion equation with x = rarity and x as the two independent variables.
27
1. What is your regression equation ?
28
2. What are this equations R² and Adjusted R2 statistics ?
29
3. What are your significance values for the entire equation and for the two independent varaibles ?
30
4. Plot the standardized residual values vs y*. Does it show that the distribution of the standardized residuals
31
fit the assumption of a normal distribution?
C. Develop a linear regression equation using logrithmic functions and fully evaluate the quality of that regression equation.
32
1. What is your regression equation ?
22
33
34
2. What are this equations R and Adjusted R* statistics ?
35
3. What are your significance values for the entire equation and for the two independent varaibles ?
36
4. Plot the standardized residual values vs y*. Does it show that the distribution of the standardized residuals
O 4)
37
fit the assumption of a normal distribution?
38
D. Which model do you prefer ? Why ? What is the predicted price for a Martin Rating of 19 ? How did that compare to the mean
7:07 PM
39
price of cars in the original sample that had a rating of 19?
3/11/2021
40
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
+
囲
65%
H Q o i C E O O
Transcribed Image Text:Assignment 4 (1) - Excel P Search A Emerson Oakes 困 AutoSave ff EO File Home Insert Page Layout Formulas Data Review View Help A Share P Comments C3 fe P A B In the past a number of car makers produced a wide range of classic cars that continue to increase in value. The following data, based upon the Martin 5 Rating System for Collectible Cars, show the rarity rating (1- 20) and the highest sales price ($1000s) for 15 Classic cars. E F G H J K L N Q R 4 6 7 Model Year Make Model Rating Price ($1000s) 8 1984 Chevrolet 18 1600 1956 Chevrolet 19 4000 10 1963 Chevrolet 18 1000 11 1978 Chevrolet 19 1300 12 1963 Ferrari 16 350 13 1964 Ferrari 19 2650 14 1962 Ferrari 18 375 15 1968 Ferrari 17 450 16 1973 Ferrari 17 140 17 1967 Jaguar 15 77.5 18 1971 Jaguar 14 62 Jaguar Jaguar 19 1974 16 125 20 1954 17 400 21 1953 Jaguar 16 250 22 1967 Jaguar 13 70 23 24 A. Develop a scatter diagram of the data using rarity rating as the independent variable and price as the dependent variable. Does the simple linear regression model appear to be appropriate ? Explain your Answer. 25 26 B. Develp an estimated multiple regresssion equation with x = rarity and x as the two independent variables. 27 1. What is your regression equation ? 28 2. What are this equations R² and Adjusted R2 statistics ? 29 3. What are your significance values for the entire equation and for the two independent varaibles ? 30 4. Plot the standardized residual values vs y*. Does it show that the distribution of the standardized residuals 31 fit the assumption of a normal distribution? C. Develop a linear regression equation using logrithmic functions and fully evaluate the quality of that regression equation. 32 1. What is your regression equation ? 22 33 34 2. What are this equations R and Adjusted R* statistics ? 35 3. What are your significance values for the entire equation and for the two independent varaibles ? 36 4. Plot the standardized residual values vs y*. Does it show that the distribution of the standardized residuals O 4) 37 fit the assumption of a normal distribution? 38 D. Which model do you prefer ? Why ? What is the predicted price for a Martin Rating of 19 ? How did that compare to the mean 7:07 PM 39 price of cars in the original sample that had a rating of 19? 3/11/2021 40 Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 + 囲 65% H Q o i C E O O
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