K2 1 2 3 4 5 6 7 8 9 16 17 10 11 12 1969-1971 13 1971-1974 14 1951-1954 15 1950-1953 1956-1957 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 A Year 1984 1956 1963 B Make Chevrolet Corvette Chevrolet Corvette 265/225-hp Chevrolet Corvette coupe (340-bhp 4-speed) 1978 Chevrolet Corvette coupe Silver Anniversary 1960-1963 Ferrari 250 GTE 2+2 1962-1964 Ferrari 250 GTL Lusso 1962 Ferrari 250 GTO 1967-1968 Ferrari 275 GTB/4 NART Spyder 1968-1973 Ferrari 365 GTB/4 Daytona 1962-1967 Jaguar E-type OTS Jaguar E-type Series II OTS Jaguar E-type Series III OTS Jaguar XK 120 roadster (steel) Jaguar XK C-type Jaguar XKSS Rating Rating² 18 19 18 fx 19 16 19 18 17 17 15 14 16 17 16 13 с Model log(Rating) D Rating 18 19 18 19 16 19 18 17 17 15 14 16 17 16 13 E Price ($1000) 1650.0 3900.0 950.0 1350.0 400.0 2550.0 375.0 460.0 170.0 950.0 1350.0 400.0 2550.0 375.0 460.0 170.0 75.0 67.0 125.0 360.0 280.0 67.0 75.0 67.0 125.0 360.0 280.0 67.0 Price ($1000) log(Price) Formula 1650.0 3900.0 #N/A #N/A #N/A #N/A #N/A ▼ #N/A #N/A #N/A #N/A F ▼ #N/A ▼ #N/A ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ ▼ #N/A #N/A #N/A #N/A ▼ G H #N/A ▼ #N/A #N/A #N/A #N/A ▼ #N/A ▼ ▼ #N/A #N/A #N/A ▼ #N/A #N/A #N/A #N/A #N/A #N/A ▼ #N/A #N/A ▼ #N/A ▼ #N/A ▼ #N/A #N/A #N/A ▼ #N/A #N/A #N/A ▼ #N/A #N/A ▼ #N/A #N/A ▼ #N/A I J Part a Part b Use the area below to draw a scatter diagram. M N O P Q After reading these instructions delete all text in this shaded area. Use the XLMiner Analysis ToolPak to conduct your Linear Regression analysis. After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (K23). Your Linear Regression analysis output should fit into this shaded area. R

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

Corvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The data showing the rarity rating (1–20) and the high price ($1000s) for 15 classic cars is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.

Excel template - Saved
K2
20
21
22
23
24
25
26
27
28
29
File
30
31
32
33
34
35
36
37
38
Home
Rating
18
19
18
19
16
A
B
1
Year
Make
2
1984
Chevrolet Corvette
3
1956
Chevrolet Corvette 265/225-hp
4
1963
5
1978
1960-1963
Chevrolet Corvette coupe (340-bhp 4-speed)
Chevrolet Corvette coupe Silver Anniversary
Ferrari 250 GTE 2+2
1962-1964 Ferrari 250 GTL Lusso
6
7
8
Ferrari
250 GTO
1962
1967-1968
10 1968-1973
9
Ferrari 275 GTB/4 NART Spyder
Ferrari
1962-1967 Jaguar
365 GTB/4 Daytona
E-type OTS
11
12
1969-1971 Jaguar
E-type Series II OTS
1971-1974
Jaguar E-type Series III OTS
XK 120 roadster (steel)
13
14 1951-1954 Jaguar
15 1950-1953 Jaguar XK C-type
Jaguar XKSS
16
1956-1957
17
18
19
u9877 1541671613
19
18
17
17
Insert
Rating²
Arial
fx
Draw
+
C
Model
log(Rating)
Data
Calculation Mode: Automatic Workbook Statistics
Page Layout
10
B
Formulas
Rating
18
19
18
19
16
19
18
17
17
15
14
16
17
16
13
&
950.0
1350.0
400.0
2550.0
375.0
460.0
170.0
75.0
67.0
125.0
360.0
280.0
67.0
Search (Option + Q)
Data
E
Price ($1000)
1650.0
3900.0
950.0
1350.0
400.0
2550.0
375.0
460.0
170.0
75.0
67.0
125.0
360.0
280.0
67.0
F
Review
G
Price ($1000) log(Price) Formula
1650.0
#N/A
#N/A
3900.0
#N/A
#N/A ▼
#N/A
#N/A
#N/A
#N/A
#N/A ▼ #N/A
#N/A ▼ #N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
View
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
ab
H
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
#N/A
Help
General
J
Part a
Part b
←0
.00
.00
→.0
K
L
Use the area below to draw a scatter diagram.
M
N
Editing ✓
Σ ✓ ✓
P
Comments
Give Feedback to Microsoft
Ơ
After reading these instructions delete all text in this shaded area.
Use the XLMiner Analysis ToolPak to conduct your Linear Regression analysis.
After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (K23).
Your Linear Regression analysis output should fit into this shaded area.
T
R
90% +
Transcribed Image Text:Excel template - Saved K2 20 21 22 23 24 25 26 27 28 29 File 30 31 32 33 34 35 36 37 38 Home Rating 18 19 18 19 16 A B 1 Year Make 2 1984 Chevrolet Corvette 3 1956 Chevrolet Corvette 265/225-hp 4 1963 5 1978 1960-1963 Chevrolet Corvette coupe (340-bhp 4-speed) Chevrolet Corvette coupe Silver Anniversary Ferrari 250 GTE 2+2 1962-1964 Ferrari 250 GTL Lusso 6 7 8 Ferrari 250 GTO 1962 1967-1968 10 1968-1973 9 Ferrari 275 GTB/4 NART Spyder Ferrari 1962-1967 Jaguar 365 GTB/4 Daytona E-type OTS 11 12 1969-1971 Jaguar E-type Series II OTS 1971-1974 Jaguar E-type Series III OTS XK 120 roadster (steel) 13 14 1951-1954 Jaguar 15 1950-1953 Jaguar XK C-type Jaguar XKSS 16 1956-1957 17 18 19 u9877 1541671613 19 18 17 17 Insert Rating² Arial fx Draw + C Model log(Rating) Data Calculation Mode: Automatic Workbook Statistics Page Layout 10 B Formulas Rating 18 19 18 19 16 19 18 17 17 15 14 16 17 16 13 & 950.0 1350.0 400.0 2550.0 375.0 460.0 170.0 75.0 67.0 125.0 360.0 280.0 67.0 Search (Option + Q) Data E Price ($1000) 1650.0 3900.0 950.0 1350.0 400.0 2550.0 375.0 460.0 170.0 75.0 67.0 125.0 360.0 280.0 67.0 F Review G Price ($1000) log(Price) Formula 1650.0 #N/A #N/A 3900.0 #N/A #N/A ▼ #N/A #N/A #N/A #N/A #N/A ▼ #N/A #N/A ▼ #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A View #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A ab H #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A #N/A Help General J Part a Part b ←0 .00 .00 →.0 K L Use the area below to draw a scatter diagram. M N Editing ✓ Σ ✓ ✓ P Comments Give Feedback to Microsoft Ơ After reading these instructions delete all text in this shaded area. Use the XLMiner Analysis ToolPak to conduct your Linear Regression analysis. After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (K23). Your Linear Regression analysis output should fit into this shaded area. T R 90% +
b. Develop an estimated multiple regression equation with
x = rarity rating and
x² as the two independent variables.
+
=
Price
(to whole numbers)
What is the value of the coefficient of determination? Note: report R² between 0 and 1.
(to 3 decimals)
What is the
(to 2 decimals)
of the F test statistic?
What is the p-value?
(to 4 decimals)
=
Rating +
c. Consider the nonlinear relationship shown by equation E(y) = ßoß. Use logarithms to develop an estimated regression equation for this model.
log(Price)
Rating²
What is the p-value?
+
log (Rating)
(to 3 decimals)
What is the value of the coefficient of determination? Note: report R² between 0 and 1.
(to 3 decimals)
What is the value of the F test statistic?
(to 2 decimals)
(to 4 decimals)
Transcribed Image Text:b. Develop an estimated multiple regression equation with x = rarity rating and x² as the two independent variables. + = Price (to whole numbers) What is the value of the coefficient of determination? Note: report R² between 0 and 1. (to 3 decimals) What is the (to 2 decimals) of the F test statistic? What is the p-value? (to 4 decimals) = Rating + c. Consider the nonlinear relationship shown by equation E(y) = ßoß. Use logarithms to develop an estimated regression equation for this model. log(Price) Rating² What is the p-value? + log (Rating) (to 3 decimals) What is the value of the coefficient of determination? Note: report R² between 0 and 1. (to 3 decimals) What is the value of the F test statistic? (to 2 decimals) (to 4 decimals)
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