Question
In: Statistics and Probability
Twenty-five different cars were tested, and their weights (in pounds) and mileage (miles per gallon) were...
Twenty-five different cars were tested, and their weights (in pounds) and mileage (miles per gallon) were measured. The regression of mileage on weight has the MINITAB regression output shown below. Answer parts a-d.
|
Predictor |
Coef |
SE Coef |
T |
P |
||
|---|---|---|---|---|---|---|
|
Constant |
49.01549.015 |
2.5492.549 |
19.22919.229 |
0.000 |
||
|
Weight |
negative 0.006672−0.006672 |
0.00078890.0007889 |
negative 8.457−8.457 |
0.000 |
For the prediction equation determine the value of the y-intercept and the slope?
Interpret the slope in terms of a 1000-pound increase in the vehicle weight?
Interpret the y-intercept?
Solutions
Expert Solution
TOPIC:Regression equation and the interpretation of the intercept and slope coefficient.
orchestra answered 2 years agoRelated Solutions
Below is a list of gas mileage ratings for selected passenger cars in miles per gallon....
Below is a list of gas mileage ratings for selected passenger
cars in miles per gallon.
16.2 20.3 31.5 30.5 21.5 31.9 37.3 27.5 27.2 34.1 35.1 29.5 31.8
22.0 17.0 21.6
Find the mean, standard deviation, five - number summary, IQR,
and identify any outliers. Use the five - number summary to sketch
a boxplot. What does the boxplot tell you about the distribution of
the data? (20 points)
The following table shows the miles per gallon of various cars and their weight in pounds....
The following table shows the miles per gallon of various cars
and their weight in pounds. Suppose we are interested in predicting
the miles per gallon of a car based on its weight.
Car
Weight
MPG
Buick Lucerne
3735
17
Cadillac CTS
3860
16
Chevrolet Cobalt
2721
25
Chevrolet Impala
3555
19
Chrysler Sebring Sedan
3319
21
Dodge Caliber
2966
23
Dodge Charger
3727
17
Ford Focus
2605
24
Ford Mustang
3473
19
Lincoln MKZ
3796
17
Mercury Sable
3310...
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the...
The mean gas mileage for a hybrid car is 57 miles per gallon.
Suppose that the gasoline mileage is approximately normally
distributed with a standard deviation of 3.5 miles per gallon.
(a) What proportion of hybrids gets over 61 miles per
gallon?
(b) What proportion of hybrids gets 52 miles per gallon or
less?
(c) What proportion of hybrids gets between 59 and 62 miles per
gallon?
(d) What is the probability that a randomly selected hybrid gets
less...
The mean gas mileage for a hybrid car is 56 miles per gallon. Suppose that the...
The mean gas mileage for a hybrid car is 56 miles per gallon.
Suppose that the gasoline mileage is approximately normally
distributed with a standard deviation of 3.2 miles per gallon. (a)
What proportion of hybrids gets over 61 miles per gallon? (b) What
proportion of hybrids gets 51 miles per gallon or less? left
parenthesis c right parenthesis What proportion of hybrids gets
between 59 and 61 miles per gallon? (d) What is the probability
that a randomly selected...
The average gas mileage of a certain model car is 28.0 miles per gallon. If the...
The average gas mileage of a certain model car is 28.0 miles per
gallon. If the gas mileages are normally distributed with a
standard deviation of 0.4 miles per gallon, find the probability
that a car has a gas mileage of between 26.8 and 27.2 miles per
gallon. In addition to the answer, please write out
your steps and thoughts that led you to your answer.
The data provided give the gasoline mileage (in miles per gallon) based on the horsepower of...
The data provided give the gasoline mileage (in miles per
gallon) based on the horsepower of a car's engine and the weight
of the car (in pounds). Using the data provided, determine the
VIF for each independent variable in the model. Is there reason to
suspect the existence of collinearity?
Determine the VIF for each independent variable in the
model.
MPG
Horsepower
Weight
15.8
185
4,758
19.7
106
3,534
20.3
141
3,220
18.8
172
4,466
17.3
166
4,293
27.5
75...
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding to the individual who
obtained
41.4 miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any
outliers?
32.7
34.0
34.7
35.4
36.0
36.2
37.3
37.6
37.7
37.9
38.1
38.5
38.6
39.0
39.2
39.4
39.9
40.7
41.4
41.8...
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine.
(a)
Compute the z-score corresponding
to the individual who obtained
36.3
miles per gallon. Interpret this result.
(b)
Determine the quartiles.
(c)
Compute and interpret the interquartile range, IQR.
(d)
Determine the lower and upper fences. Are there any
outliers?
LOADING...
Click the icon to view the data
32.5
35.9
38.0
38.6
39.9
42.4
34.4
36.3
38.1
38.7
40.6
42.7...
The accompanying data represent the miles per gallon of a random sample of cars with a...
The accompanying data represent the miles per gallon of a random
sample of cars with a three-cylinder, 1.0 liter engine. (a)
Compute the z-score corresponding to the individual who obtained
38.4 miles per gallon. Interpret this result. (b) Determine the
quartiles. (c) Compute and interpret the interquartile range,
IQR. (d) Determine the lower and upper fences. Are there any
outliers? 32.5; 35.9; 37.6; 38.6; 40.4; 42.5; 34.0; 36.2; 37.8;
38.9; 40.6; 42.6; 34.7; 37.3; 38.1; 39.4 ;41.3; 43.4; 35.6; 37.4;...
the accompanying data represent the miles per gallon of a random sample of cars with a...
the accompanying data represent the miles per gallon
of a random sample of cars with a three-cylinder, 1.0 liter
engine. (a) compute the z-score corresponding to the individual
who obtained 38.7 miles per gallon. interpret this result. (b)
determine the quartiles. (c) compute and interpret the
interquartile range, iqr. (d) determine the lower and upper
fences. are there any outliers?39.939.9 42.442.4 34.634.6 36.336.3
38.138.1 38.938.9 40.540.5 42.842.8 34.734.7 37.537.5 38.338.3
39.439.4 41.441.4 43.643.6 35.235.2 37.637.6 38.538.5 39.739.7
41.641.6 49.049.0
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