math 141-j411
Running head: MATH 141 – Capstone Project 1
MATH 141 – Capstone Project 3
MATH 141 – Capstone Project
Name:
Busayo Oyewole
Instructor:
Professor Kimberly Triplet
Introduction
According to National Highway Traffic Safety Administration safety ratings and Insurance Institute for Highway Safety crash test ratings, the car is very safe to use. The IIHS safety rating includes Side Impact Test Results (good), Moderate Overlap Front Test Results (good), Roof Strength Test Results (good), and Rear Crash Protection Results (good). Additionally, the car has a pleasant interior review. Options such as leather upholstery as well as heated front seats tend to improve the overall quality. The car has a keyless entry, 4.2-inch display, six-speaker audio system, and rear parking sensors, My Key, satellite radio, together with a rearview camera. There is also an ancillary jack for playing music and Bluetooth for making phone calls. These features make the car comfortable and entertaining to use (Kelley Blue Book Co. 2017).
The two local dealerships that sell the make and model of the car with the features include Academy Ford 13401 Baltimore Ave. Laurel MD, 20707, (877)894-4901 5300, and Eastern Automotive Group 9950 Washington Blvd N, Laurel, MD 20723 (888)493-2318
Data Collection
|
Year of Manufacture |
Age of car |
Price ($) |
|
2018 |
0 |
12663 |
|
2017 |
1 |
10890 |
|
2016 |
2 |
8990 |
|
2015 |
3 |
7450 |
|
2014 |
4 |
5985 |
|
2013 |
5 |
6795 |
|
2012 |
6 |
4295 |
|
2011 |
7 |
5000 |
|
2010 |
8 |
3498 |
|
2009 |
9 |
3695 |
|
2008 |
10 |
2695 |
|
2007 |
11 |
2995 |
Source: Kelly Blue Book
Linear Regression Model and Graph
a) Scatter Plot
Ford Fiesta Depreciation Trend
a) Linear regression equation
The linear regression equation is
Discussion of the Regression Model
The vertical intercept is It is the mean fair purchase price value of Ford Fiesta at zero years. while the horizontal intercept is (0,13) This is the age of the car when its value will be zero. The slope is This is the rate of change of the fair purchase price with respect to the age of the car.
the predicted resale value of the car after 5 years of purchase is at $6,670. I do not expect all cars of different makes and models to have the same linear model. This is because they do not have the same MSRP. Also, some certain features may hold a better value.
It will not make sense to offer a car loan ranging up to 30 years since for most cars they will depreciate to zero before the period expires. For instance, Ford Fiesta will depreciate to zero after 13 years from the purchase date. Unlike houses, cars experience wears and tear, thus quickly losing their value.
References
Kelley Blue Book Co. (2017). Kelley blue book used car guide: Consumer edition, 2002-2016 models. https://www.ford.com/cars/fiesta/models/