Question

The data in the table represent the weights of various domestic cars and their miles per gallon in the city for the 2008 model year. For these data, the least-squares regression line is y=-0.007x + 44.085. A twelfth car weighs 3,425 pounds and gets 12 miles per gallon.

(a) Compute the coefficient of determination of the expanded data set. What effect does the addition of the twelfth car to the data set have on R^2?

(b) Is the point corresponding to the twelfth car influential? Is it an outlier?

Car Weight (pounds), x Miles per Gallon,
y

1 3762 20

2 3982 20

3 3533 20

4 3173 21

5 2585 28

6 3731 19

7 2603 27

8 3775 18

9 3312 22

10 2994 27

11 2760 25

Answer #1

The data in the table represent the weights of various domestic
cars and their miles per gallon in the city for the 2008 model
year. For these data, the least-squares regression line is
y=-0.006x + 43.516. A twelfth car weighs 3,425 pounds and gets 13
miles per gallon.
(a) Compute the coefficient of determination of the expanded
data set. What effect does the addition of the twelfth car to the
data set have on R^2? (b) Is the point corresponding...

The accompanying data represent the weights of various domestic
cars and their gas mileages in the city. The linear correlation
coefficient between the weight of a car and its miles per gallon in
the city is r=−0.985. The least-squares regression line treating
weight as the explanatory variable and miles per gallon as the
response variable is y=-0.0072 x + 45.2461.
Complete parts (a) through (c) below.
Date Set:
Car Weight (pounds), x Miles per Gallon,
y
1 3,765 18
2...

The accompanying data represent the weights of various domestic
cars and Item gas mileages in the city The linear correlation
coefficient between the weight a cat and its mites per gallon in
the city is r = - 0 912 I he least squares regression line
treadling weight as the explanatory variable and miles per gallon
as the response variable is = - 0 0070x + 44 9490 Complete parts
(a) and (b) Click the icon to view the data...

Do heavier cars really use more gasoline? Suppose a car is
chosen at random. Let x be the weight of the car (in
hundreds of pounds), and let y be the miles per gallon
(mpg).
x
25
46
32
47
23
40
34
52
y
29
20
23
13
29
17
21
14
Complete parts (a) through (e), given Σx = 299,
Σy = 166, Σx2 = 11,963,
Σy2 = 3706, Σxy = 5781, and
r ≈ −0.932.
(c) Find...

Do heavier cars really use more gasoline? Suppose a car is
chosen at random. Let x be the weight of the car (in hundreds of
pounds), and let y be the miles per gallon (mpg). x 27 43 29 47 23
40 34 52 y 31 18 27 13 29 17 21 14 Complete parts (a) through (e),
given Σx = 295, Σy = 170, Σx2 = 11,617, Σy2 = 3950, Σxy = 5794, and
r ≈ −0.951. (a) Draw...

Do heavier cars really use more gasoline? Suppose a car is
chosen at random. Let x be the weight of the car (in hundreds of
pounds), and let y be the miles per gallon (mpg).
x
27
43
31
47
23
40
34
52
y
30
20
25
13
29
17
21
14
Complete parts (a) through (d), given Σx = 297, Σy = 169, Σx2 =
11,737, Σy2 = 3861, Σxy = 5845, and r ≈ −0.944.
(a) Verify...

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
38.538.5 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?
MPG data:
32.7
34.3
34.5
35.2
35.9
36.3
37.3
37.5
37.7
38.1
38.2
38.5
38.6
38.7
39.5
39.7
40.4
40.6...

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
40.2
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?
32.2
34.4
34.7
35.7
35.9
36.3
37.3
37.4
37.8
37.9
38.3
38.5
38.6
38.9
39.6
39.7
40.2
40.6
41.5
41.7...

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
35.9 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?
32.6
34.4
34.8
35.2
35.9
36.2
37.4
37.7
38.0
38.1
38.2
38.6
38.7
39.0
39.4
39.7
40.2
40.7
41.4
41.8...

Do heavier cars really use more gasoline? Suppose a car is
chosen at random. Let x be the weight of the car (in
hundreds of pounds), and let y be the miles per gallon
(mpg).
x
27
46
30
47
23
40
34
52
y
30
20
25
13
29
17
21
14
Complete parts (a) through (e), given Σx = 299,
Σy = 169, Σx2 = 11,943,
Σy2 = 3861, Σxy = 5880, and
r ≈ −0.923.
(b) Verify...

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