Question
10. Suppose a car is chosen at random. Let X be the weight of the car...
10. 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.
|
X |
Y |
|
27 |
30 |
|
44 |
19 |
|
32 |
24 |
|
47 |
13 |
|
23 |
29 |
|
40 |
17 |
|
34 |
21 |
|
52 |
14 |
a. Find b (the slope of the line of best fit) ___________________
b. Find a (the y-intercept of the line of best fit) ___________________
Homework Answers
Answer #1
10.
Let X be the weight of the car (in hundreds of pounds) and let Y be the miles per gallon.
Regression Equation is Y=a+bX
n : sample size = 8
| X | Y | XY |  |
| 27 | 30 | 810 | 729 |
| 44 | 19 | 836 | 1936 |
| 32 | 24 | 768 | 1024 |
| 47 | 13 | 611 | 2209 |
| 23 | 29 | 667 | 529 |
| 40 | 17 | 680 | 1600 |
| 34 | 21 | 714 | 1156 |
| 52 | 14 | 728 | 2704 |
 =299 |
 =167 |
 =5814 |
 =11887 |
a. Find b (the slope of the line of best fit) -0.600702370500439
b. Find a (the y-intercept of the line of best fit) 43.3262510974539
Not the answer you're looking for?
Similar Questions
Do heavier cars really use more gasoline? suppose a car is chosen at random. Let x...
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). The following
information is based on data taken from consumer reports (Vol. 62,
No.4). If you use the least-square line to find the estimated
response value y^ at x=38 (hundred pounds), then the y^ value in
this question is ____
X
27
44
32
47...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
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...
Using the data below, determine if a heavier car uses more gasoline. If it does, determine...
Using the data below, determine if a heavier car uses more
gasoline. If it does, determine the equation for the best fit line.
If appropriate, predict the miles per gallon of a car that weighs
37 hundred pounds.
Weight (in
hundred pounds)
27
44
32
47
23
40
34
52
Miles per Gallon
(mpg)
30
19
24
13
29
17
21
14
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
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 30 44 33 47 23
40 34 52 y 33 21 22 13 29 17 21 14 Complete parts (a) through (e),
given Σx = 303, Σy = 170, Σx2 = 12,123, Σy2 = 3950, Σxy = 6040, and
r ≈ −0.853.
(a) Draw...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
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...
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...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
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...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
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
28
42
29
47
23
40
34
52
y
30
17
24
13
29
17
21
14
Complete parts (a) through (e), given Σx = 295,
Σy = 165, Σx2 = 11,587,
Σy2 = 3701, Σxy = 5650, and
r ≈ −0.945.
(a) Draw...
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage,...
An engineer wants to determine how the weight of a gas-powered
car, x, affects gas mileage, y. The accompanying data represent
the weights of various domestic cars and their miles per gallon in
the city for the most recent model year.
Weight (pounds), x Miles per Gallon, y
3787 18
3798 17
2725 24
3460 19
3334 20
3028 24
3808 18
2703 25
3570 19
3836 17
3370 18
(a) Find the least-squares regression line
treating weight as the...
An engineer wants to determine how the weight of a car, x, affects gas mileage, y....
An engineer wants to determine how the weight of a car, x,
affects gas mileage, y. The following data represent the weights
of various cars and their miles per gallon.
A
B
C
D
E
2600
3070
3450
3735
4180
30.1
26.5
21
22.1
17.7
(a) Find the least-squares regression line treating weight as
the explanatory variable and miles per gallon as the response
variable.
Write the equation for the least-squares regression line.
(b) Interpret the slope and intercept, if...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 3 minutes ago
asked 25 minutes ago
asked 30 minutes ago
asked 44 minutes ago
asked 52 minutes ago
asked 58 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago