Question
In: Statistics and Probability
We are interested in exploring the relationship between the weight of a vehicle and its fuel...
We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles.
| Weight | Fuel Efficiency |
|---|---|
| 2670 | 25 |
| 2570 | 24 |
| 2630 | 29 |
| 2760 | 38 |
| 3000 | 25 |
| 3410 | 24 |
| 3640 | 21 |
| 3700 | 26 |
| 3880 | 21 |
| 3900 | 18 |
| 4060 | 18 |
| 4710 | 17 |
Find the correlation coefficient.
Find the equation of the best fit line. (Round your answers to four decimal places.)
What percent of the variation in fuel efficiency is explained by the variation in the weight of the vehicles, using the regression line? (Round your answer to the nearest whole number.
For the vehicle that weighs 3000 pounds, find the residual
(y − ŷ).
(Round your answer to two decimal places.)
Remove the outlier from the sample data. Find the new correlation
coefficient and coefficient of determination. (Round your answers
to two decimal places.)
| correlation coefficient | |||
| coefficient of determination |
Find the new best fit line. (Round your answers to four decimal places.) |
Solutions
Expert Solution
The correlation between weight and fuel efficiency is -0.73. i.e. Fuel efficiency and weight is moderately negatively correlated.
orchestra answered 1 year agoRelated Solutions
We are interested in exploring the relationship between the weight of a vehicle and its fuel...
We are interested in exploring the relationship between the
weight of a vehicle and its fuel efficiency (gasoline mileage). The
data in the table show the weights, in pounds, and fuel efficiency,
measured in miles per gallon, for a sample of 12 vehicles.
Weight
Fuel
Efficiency
2710
24
2570
27
2620
29
2750
38
3000
23
3410
24
3640
21
3700
27
3880
22
3900
19
4060
18
4710
15
e.) What percent of the variation in fuel efficiency is...
We are interested in exploring the relationship between the weight of a vehicle and its fuel...
We are interested in exploring the relationship between the
weight of a vehicle and its fuel efficiency (gasoline mileage). The
data in the table show the weights, in pounds, and fuel efficiency,
measured in miles per gallon, for a sample of 12 vehicles.
Weight
Fuel
Efficiency
2715
26
2520
24
2630
29
2790
38
3000
23
3410
25
3640
21
3700
27
3880
21
3900
19
4060
21
4710
15
Part (b)
r = -0.71 (correlation coefficient).
Yes, it is...
We are interested in exploring the relationship between the weight of a vehicle and its fuel...
We are interested in exploring the relationship between the
weight of a vehicle and its fuel efficiency (gasoline mileage). The
data in the table show the weights, in pounds, and fuel efficiency,
measured in miles per gallon, for a sample of 12 vehicles.
g.)For the vehicle that weighs 3000 pounds, find the
residual
(y − ŷ).
(Round your answer to two decimal places.) _________
I.)Remove the outlier from the sample data. Find the new
correlation coefficient and coefficient of determination....
Q6). We are interested in exploring the relationship between the weight of a vehicle and its...
Q6). We are interested in exploring the relationship between the
weight of a vehicle and its fuel efficiency (gasoline mileage). The
data in the table show the weights, in pounds, and fuel efficiency,
measured in miles per gallon, for a sample of 12 vehicles.
Weight
Fuel
Efficiency
2710
24
2550
24
2680
29
2720
38
3000
25
3410
22
3640
21
3700
27
3880
21
3900
19
4060
21
4710
16
Part (a) Graph a scatterplot of the data.
Part...
Data We are interested in exploring the relationship between the weight of a vehicle and its...
Data We are interested in exploring the
relationship between the weight of a vehicle and its fuel
efficiency (gasoline mileage). The data in the table show the
weights, in pounds, and fuel efficiency, measured in miles per
gallon, for a sample of vehicles. Note the units here are
pounds and miles per gallon.
Weight
(pounds)
Fuel
Efficiency
(miles per gallon)
2695
25
2510
27
2680
29
2730
38
3000
25
3410
23
3640
21
3700
27
3880
21
3900
19...
An endocrinologist was interested in exploring the relationship between the level of a steroid (Y) and...
An endocrinologist was interested in exploring the relationship
between the level of a steroid (Y) and age (X) in healthy subjects
whose ages ranged from 8 to 25 years. She collected a sample of 27
healthy subject in this age range. The data is located in the file
problem01.txt, where the first column represents X = age and the
second column represents Y = steroid level. For all R
programming, print input and output codes and values.
(a) Read the...
We are interested in examining the relationship between the number of calories people consume and weight....
We are interested in examining the relationship between the
number of calories people consume and weight. We randomly selected
200 people and presented the data with explanatory (x) variable
being the calories consumed and the response (y) variable being
their weight.
Regression analysis will be good for this problem because it
helps us find trends in data and quantify the results. It can also
help us make predictions about data. So as long as the requirements
are met for inference...
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...
We are interested in the relationship between the compensation of Chief Executive Officers (CEO) of firms...
We are interested in the relationship between the compensation
of Chief Executive Officers (CEO) of firms and the return on equity
of their respective firm, using the dataset salary.xlsx. The
variable salary shows the annual salary of a CEO in thousands of
dollars, so that y = 150 indicates a salary of $150,000. Similarly,
the variable ROE represents the average return on equity (ROE)for
the CEO’s firm for the previous three years. A ROE of 20 indicates
an average return...
We are interested in the relationship between the compensation of Chief Executive Officers (CEO) of firms...
We are interested in the relationship between the compensation
of Chief Executive Officers (CEO) of firms and the return on equity
of their respective firm, using the dataset below. The variable
salary shows the annual salary of a CEO in thousands of dollars, so
that y = 150 indicates a salary of $150,000. Similarly, the
variable ROE represents the average return on equity (ROE)for the
CEO’s firm for the previous three years. A ROE of 20 indicates an
average return...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- identify one intrapersonal relationship and evaluate its component.
- Using Python in vs code: The distribution of letters in a document has a distinctive and...
- Why is De Beers exploring the diamond reselling market? How does the creation of IIDV affect...
- programming in Python The body mass index (BMI) is calculated as a person’s weight (in lb)...
- 1. Show the steps in merging A and B into C where A= 8, 12, 19,...
- 1. Given the following information, determine the beta coefficient for Stock L that is consistent with...
- Generate the first ten rows of Pascal triangle using MATLAB. Post code in the response
ADVERTISEMENT