Question
In: Statistics and Probability
Mileage and Vehicle Weight (n = 73 vehicles) Vehicle Weight City MPG Acura TL 3968 20 Audi...
| Mileage and Vehicle Weight (n = 73 vehicles) | ||
| Vehicle | Weight | City MPG |
| Acura TL | 3968 | 20 |
| Audi A5 | 3583 | 22 |
| BMW 4 Series 428i | 3470 | 22 |
| BMW X1 sDrive28i | 3527 | 23 |
| Buice LaCrosse | 3990 | 18 |
| Buick Enclave | 4724 | 17 |
| Buick Regal | 3692 | 21 |
| Cadillac ATS | 3315 | 22 |
| Cadillac CTS | 3616 | 20 |
| Cadillac Escalade | 5527 | 14 |
| Chevrolet Camaro 1SS | 3719 | 16 |
| Chevrolet Cruze LS | 3097 | 26 |
| Chevrolet Impala LTZ | 3800 | 19 |
| Chevrolet Malibu 2LT | 3532 | 25 |
| Chevrolet Spark LS | 2269 | 31 |
| Chevrolet Suburban LTZ | 5674 | 15 |
| Chrysler 200 Touring LX | 3402 | 20 |
| Chrysler 300 S | 4029 | 19 |
| Dodge Charger SXT | 3996 | 19 |
| Dodge Dart Limited | 3242 | 23 |
| Fiat 500 Sport | 2434 | 31 |
| Ford Fiesta S | 2575 | 29 |
| Ford Focus SE | 2960 | 27 |
| Ford Mustang GT | 3618 | 15 |
| Ford Taurus | 4054 | 19 |
| Honda Accord LX | 3192 | 24 |
| Honda CRV LX | 3305 | 23 |
| Hyundai Azera Limited | 3605 | 19 |
| Hyundai Genesis 5.0 | 4240 | 15 |
| Hyundai Santa Fe GLS | 3933 | 18 |
| Infiniti Q60 | 3633 | 19 |
| Infiniti QX50 | 3790 | 17 |
| Jaguar F-Type | 3477 | 20 |
| Jeep Compass Limited | 3258 | 21 |
| Jeep Grand Cherokee Limited | 4685 | 17 |
| Kia Forte LX | 2776 | 25 |
| Kia Soul | 2615 | 24 |
| Kia Sportage LX | 3186 | 21 |
| Land Rover Range Rover Sport | 5137 | 13 |
| Lexus IS 250 | 3461 | 21 |
| Lexus LS 460 | 4233 | 16 |
| Lexus RX 350 | 4178 | 18 |
| Lincoln MKT | 4702 | 17 |
| Lincoln MKZ | 3713 | 22 |
| Lincoln Navigator | 5794 | 14 |
| Mazda 2 | 2306 | 28 |
| Mazda CX-5 Sport | 3194 | 26 |
| Mercedes-Benz C-250 | 3428 | 22 |
| Mercedes-Benz CL600 | 4894 | 12 |
| Mercedes-Benz ML350 | 4751 | 17 |
| Mini-Cooper | 2605 | 29 |
| Mitsubishi Outlander Sport SE | 3296 | 25 |
| Nissan Armada SV | 5267 | 13 |
| Nissan Cube S | 2789 | 25 |
| Nissan Maxima SV | 3570 | 19 |
| Nissan Murano SV | 4011 | 18 |
| Nissan Versa S | 2363 | 27 |
| Porsche Cayenne | 4398 | 15 |
| Scion FR-S | 2806 | 25 |
| Scion iQ | 2127 | 36 |
| Scion XD | 2665 | 27 |
| Suburu Forester 2.5i Limited | 3419 | 24 |
| Suburu Legacy 2.5i Limited | 3427 | 24 |
| Toyota Camry XLE | 3280 | 25 |
| Toyota Land Cruiser | 5765 | 13 |
| Toyota RAV4 XLE | 3465 | 24 |
| Toyota Yaris | 2295 | 30 |
| Volkswagen Beetle 2.5L | 3038 | 22 |
| Volkswagen Jetta SE | 3070 | 25 |
| Volkswagen Toureg V6 Sport | 4711 | 17 |
| Volkswagen Passat SE | 3230 | 24 |
| Volvo S60 T5 | 3528 | 21 |
| Volvo XC90 | 4667 | 16 |
a. Interpret the slope. Does the intercept have meaning, given the range of the data?
b. Based on the R2 and ANOVA table for your model, how would you assess the fit? Interpret the p-value for the Fstatistic. Would you say that your model’s fit is good enough to be of practical value?
c. Is an autocorrelation test appropriate for your data? If so, perform an eyeball inspection of residual plot against observation order or a runs test.
d. Use MegaStat or Minitab to generate 95 percent confidence and prediction intervals for various X-values.
e. Use MegaStat or Minitab to identify observations with high leverage.
Solutions
Expert Solution
Minitab output:
a. As weight is increased by 1 unit, expected City MPG is decreased by 0.00517 unit. Intercept has no real interpretation since when weight is zero the expected City MPG is 40.1 unit which is meaningless.
b. R-sq=80% i.e. 80% of total variation in City MPG is explained by this regression equation. Moreover from ANOVA table, we see that p-value<0.05, so the these two variables are linearly related significantly. Hence we can conclude that the fitting is good.
c.
From the above plot, we see the residuals bounce randomly around the residual = 0 line as we would hope so. In general, residuals exhibiting normal random noise around the residual = 0 line suggest that there is no serial correlation.
d.
e.
Unusual Observations:
orchestra answered 1 year agoRelated Solutions
In determining automobile mileage ratings, it was found that the mpg in the city for a...
In determining automobile mileage ratings, it was found that
the mpg in the city for a certain model is normally distributed,
with a mean of 28 mpg and a standard deviation of 1.5 mpg. Suppose
that the car manufacturer samples four cars from its assembly line
and tests them for mileage ratings.
a. What is the distribution of the mean mpg for the sample?
b. What is the probability that the mean mpg of the sample will
be greater than...
We are interested in predicting the fuel efficiency (gasoline mileage in mpg) using the weight of...
We are interested in predicting the fuel efficiency (gasoline
mileage in mpg) using the weight of a vehicle in pounds. A random
sample of 12 vehicles is taken. The Excel output is given below.
Use the output and the fact that R2 = 0.640 to answer the following
questions. Coefficients Standard Error t Stat P-value Lower 95%
Upper 95% Intercept 48.409 5.978 8.098 0.000 35.089 61.728 Weight
-0.006 0.002 -4.214 0.002 -0.010 -0.002 Interpret the slope in
context. Find and...
How does gas mileage depend on the weight, size of the vehicle, engine size, and seating capacity of the vehicle?
I will be comparing a 2018 Chevy Equinox vs. 2018 Ford Escape. My research question is as followed; "How does gas mileage depend on the weight, size of the vehicle, engine size, and seating capacity of the vehicle?" Submit a Research Proposal for instructor approval that includes your main variables, any control variables, how they are labeled, what your value ranges are, your specific data source, and your tentative research question.
Vehicle type/class Year Make Model Price MPG (city) MPG (highway Number of Airbags Convertible 2019...
Vehicle type/class
Year
Make
Model
Price
MPG (city)
MPG (highway
Number of Airbags
Convertible
2019
Porsche
718 Boxtster
53,208
19
22
5
Convertible
2019
Mazda
MX-5 Miata
23,436
24
29
5
Convertible
2020
Audi
S5
55,459
20
26
5
Sedan
2020
Hyundi
Accent
15,015
25
29
6
Sedan
2020
Kia
Rio
15,300
26
30
6
Sedan
2020
Toyota
Yaris
16,100
30
35
6
Truck
2020
Ford
F150
31,591
18
22
10
Truck
2020
Toyota
Tacoma
27,361
16
20
8...
Upload Cars04-1 Cars04-1 data and use engine size to predict the car’s city gas mileage(City MPG)....
Upload Cars04-1 Cars04-1 data and use engine size to predict the
car’s city gas mileage(City MPG). Answer the questions.
I) For each additional 2.0 liter in engine size how much
the MPG will change? (11.11 points)
a. It will decrease by 0.21 mpg.
b. It will decrease by 8.21 mpg.
c. It will be 25.49 mpg.
d. For car with zero horse power we expect 33.7 mpg.
e. Not applicable.
II) After performing the regression analysis you are
asked to...
Given the following data where city MPG is the response variable and weight is the explanatory...
Given the following data where city MPG is the response
variable and weight is the explanatory variable, explain why a
regression line would be appropriate to analyze the relationship
between these variables:
Model
City MPG
Weight
Mazda MX-5 Miata
25
2365
Mercedes/Benz SLK
22
3020
Mitsubishi Eclipse
23
3235
Pontiac Firebird
18
3545
Porsche Boxster
19
2905
Saturn SC
27
2420
Construct the regression line for this data.
Interpret the meaning of the y-intercept and the slope within
this scenario....
City A is located 40° N, 10° W. City B is located 40° N, 20° E....
City A is located 40° N, 10° W. City B is located 40° N, 20° E.
Assume the Earth is a perfect sphere with a radius of 6371km.
Calculate the short distance between city A and city B along the
40° N parallel.
Calculate the shortest distance (on curved Earth surface)
between city A and the equator. π = 3.141
The weight of a 0.6 kg object at the surface of Planet V is 20 N....
The weight of a 0.6 kg object at the surface of Planet V is 20
N. The radius of the planet is 4 X 106 m. Find the
gravitational acceleration at a distance of 2.0 X 106 m
from the surface of this planet.
9 m/s2
13 m/s2
14.8 m/s2
11 m/s2
A sample of 20 cars, including measurements of fuel consumption (city mi/gal and highway mi/gal), weight...
A sample of 20 cars, including measurements of fuel consumption
(city mi/gal and highway mi/gal), weight (pounds), number of
cylinders, engine displacement (in liters), amount of greenhouse
gases emitted (in tons/year), and amount of tailpipe emissions of
NOx (in lb/yr).
CAR
CITY
HWY
WEIGHT
CYLINDERS
DISPLACEMENT
MAN/AUTO
GHG
NOX
Chev. Camaro
19
30
3545
6
3.8
M
12
34.4
Chev. Cavalier
23
31
2795
4
2.2
A
10
25.1
Dodge Neon
23
32
2600
4
2
A
10
25.1
Ford...
A sample of 20 cars, including measurements of fuel consumption (city mi/gal and highway mi/gal), weight...
A sample of 20 cars, including measurements of fuel consumption
(city mi/gal and highway mi/gal), weight (pounds), number of
cylinders, engine displacement (in liters), amount of greenhouse
gases emitted (in tons/year), and amount of tailpipe emissions of
NOx (in lb/yr).
CAR
CITY
HWY
WEIGHT
CYLINDERS
DISPLACEMENT
MAN/AUTO
GHG
NOX
Chev. Camaro
19
30
3545
6
3.8
M
12
34.4
Chev. Cavalier
23
31
2795
4
2.2
A
10
25.1
Dodge Neon
23
32
2600
4
2
A
10
25.1
Ford...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Tidewater Company uses the product cost concept of applying the cost-plus approach to product pricing. The...
- Create 5 short-term plan of technology projects that you can perform outside of an I.T. department...
- Derek plans to retire on his 65th birthday. However, he plans to work part-time until he...
- Toady and Froggy were running a vegan cafe together. The business was having financial difficulties.Betelguese, who...
- 1. The following questions concern Jesse Gelsinger who suffered from partial OTC. a. In the...
- Pittman Company is a small but growing manufacturer of telecommunications equipment. The company has no sales...
- TzeMay was one of the first women engineering students at ABC University. She graduated in 1995...
ADVERTISEMENT