Used selling price, y (in thousands) (in thousands of dollars) Mileage, x ху 25.8 26.5 683.7 24.2 30.3 733.26 21.0 30.6 642.6 27.4 30.8 843.92 29.5 28.3 834.85 37.6 23.5 883.6 20.8 30.9 642.72 23.9 28.5 681.15 23.5 32.6 766.1 27.0 30.5 823.5 24.2 27.6 667.92 40 27.6 25.7 709.32 Mileage (in thousands) 38.8 22.2 861.36 Figure 1 34.4 25.9 890.96 15.1 34.3 517.93 23.3 30.1 701.33 Send data to calculator What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. (If necessary, consult a list of formulas.) Used selling price (in thousands of dollars)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought "new" two years ago and each sold "used" within the past month. For each Cadet in the sample, we have listed both the mileage, x (in thousands), that the Cadet had on its odometer at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plot in Figure 1. Also given is the product of the mileage and the used selling price for each of the sixteen Cadets. (These products, written in the column labelled "xy", may aid in calculations.)

 

### Table of Data

The table below presents the mileage (in thousands), used selling price (in thousands of dollars), and the product of mileage and selling price (\(xy\)) for a set of vehicles.

| Mileage, \(x\) (in thousands) | Used Selling Price, \(y\) (in thousands of dollars) | \(xy\)  |
|-------------------------------|----------------------------------------------------|--------|
| 25.8                          | 26.5                                               | 683.7  |
| 24.2                          | 30.3                                               | 733.26 |
| 21.0                          | 30.6                                               | 642.6  |
| 27.4                          | 30.8                                               | 843.92 |
| 29.5                          | 28.3                                               | 834.85 |
| 37.6                          | 23.5                                               | 883.6  |
| 20.8                          | 30.9                                               | 642.72 |
| 23.9                          | 28.5                                               | 681.15 |
| 23.5                          | 32.6                                               | 766.1  |
| 27.0                          | 30.5                                               | 823.5  |
| 24.2                          | 27.6                                               | 667.92 |
| 27.6                          | 25.7                                               | 709.32 |
| 38.8                          | 22.2                                               | 861.36 |
| 34.4                          | 25.9                                               | 890.96 |
| 15.1                          | 34.3                                               | 517.93 |
| 23.3                          | 30.1                                               | 701.33 |

### Scatter Plot

Figure 1 depicts the relationship between the mileage of vehicles and their used selling price. The graph is a scatter plot featuring:

- **X-axis:** Represents the mileage of the vehicles in thousands of miles.
- **Y-axis:** Represents the used selling price in thousands of dollars.
- **Data Points:** Each point on the graph corresponds to a specific vehicle, showing its mileage and selling price. The plot suggests a potential inverse relationship between mileage and selling price.

### Task

Determine the slope of the least-squares regression line for these data. Ensure to carry your intermediate computations to at least
Transcribed Image Text:### Table of Data The table below presents the mileage (in thousands), used selling price (in thousands of dollars), and the product of mileage and selling price (\(xy\)) for a set of vehicles. | Mileage, \(x\) (in thousands) | Used Selling Price, \(y\) (in thousands of dollars) | \(xy\) | |-------------------------------|----------------------------------------------------|--------| | 25.8 | 26.5 | 683.7 | | 24.2 | 30.3 | 733.26 | | 21.0 | 30.6 | 642.6 | | 27.4 | 30.8 | 843.92 | | 29.5 | 28.3 | 834.85 | | 37.6 | 23.5 | 883.6 | | 20.8 | 30.9 | 642.72 | | 23.9 | 28.5 | 681.15 | | 23.5 | 32.6 | 766.1 | | 27.0 | 30.5 | 823.5 | | 24.2 | 27.6 | 667.92 | | 27.6 | 25.7 | 709.32 | | 38.8 | 22.2 | 861.36 | | 34.4 | 25.9 | 890.96 | | 15.1 | 34.3 | 517.93 | | 23.3 | 30.1 | 701.33 | ### Scatter Plot Figure 1 depicts the relationship between the mileage of vehicles and their used selling price. The graph is a scatter plot featuring: - **X-axis:** Represents the mileage of the vehicles in thousands of miles. - **Y-axis:** Represents the used selling price in thousands of dollars. - **Data Points:** Each point on the graph corresponds to a specific vehicle, showing its mileage and selling price. The plot suggests a potential inverse relationship between mileage and selling price. ### Task Determine the slope of the least-squares regression line for these data. Ensure to carry your intermediate computations to at least
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman