Question

The data below is 9 observations of car weight (x) and gas
mileage (y). Calculate the linear correlation coefficient, rr.
Enter your answers to two decimal places.

X (tons) |
Y (mpg) |
---|---|

2.4 | 24 |

3.1 | 30 |

2.1 | 32 |

2.3 | 32 |

2.6 | 34 |

1.5 | 33 |

0.9 | 34 |

1 | 44 |

1.4 | 35 |

Answer #1

The data below was collected from manufacturer advertisements of
their vehicles horsepower and highway gas mileage (mpg.). Use this
data to answer the following questions.
x
158
250
340
350
390
190
220
y
33
28
15
17
11
35
42
1. Find the p-value to determine if there is a linear
correlation between horsepower and highway gas mileage (mpg).
Record the p-value below. Round to four decimal places.
p-value=
2. Is there a linear correlation between horsepower and highway...

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...

Solve in Matlab.
Given the data:
x = [0.9 1.3 1.9 2.1 2.6 3.0 3.9 4.4 4.7 5.0 6.0 7.0 8.0 9.2
10.5 11.3 11.6 12 12.6 13 13.3]
y = [1.3 1.5 1.85 2.1 2.6 2.7 2.4 2.15 2.05 2.1 2.25 2.3 2.25
1.95 1.4 0.9 0.7 0.6 0.5 0.4 0.25]
Draw the data and the curves of the Lagrangian polynomial,
piecwise linear apporoximation, and the cubic spline (use Matlab
command spline for the cubic spline)

The data set below is a random sample of the weights (in oz.)
of 15 donuts. From this, can we conclude with 95% confidence that
the mean weight of a donut is greater than 2 ounces? Justify your
answer.
2.3
2.6
2.0
2.4
1.8
3.1
2.2
2.5
1.7
2.1
1.4
2.0
1.5
2.6 2.3

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. Complete parts (a) through (d)
below. LOADING... Click here to view the weight and gas mileage
data. (a) Find the least-squares regression line treating weight as
the explanatory variable and miles per gallon as the response
variable. ModifyingAbove y...

these are percentages of annual sales growth and net sales
attributed to loyalty card usage at 74 noodels and company
restaurant
Store
Growth%
Loyalty%
Store
Growth%
Loyalty%
1
-7.7
0.7
38
7.1
1.7
2
-7.5
2.0
39
7.3
1.2
3
-6.4
1.3
40
7.7
1.7
4
-4.4
1.4
41
7.8
2.4
5
-4.1
2.0
42
8.3
2.1
6
-2.0
2.5
43 ...

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...

15. Engineers for a car manufacturer wanted to analyze the
relationship between the speed x of their new model (The Bullet)
and its gas mileage y for regular unleaded gasoline. The car was
test driven at different speeds in the laboratory, and the data
below were collected Speed x ||| 30 40 50 60 70 80 90 Mpg y ||| 39
38 36 32 27 24 22
i. Present a scatter plot for the data
ii. Determine the correlation coefficient...

Q11.Fit a power equation model (Ŷ =
a2*xb2) to the following data set. Then
calculate correlation coefficient.
x
2.5
3.5
5
6
7.5
10
12.5
15
17.5
20
y
7
5.5
3.9
3.6
3.1
2.8
2.6
2.4
2.3
2.3

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)
___________________

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