![tiannahwlit](/avatars/27303.jpg)
tiannahwlit
21.01.2020 •
Mathematics
We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). data for all 1137 vehicles in the government's 2013 fuel economy guide give the regression linehighway mpg = 6.785 + (1.033 × city mpg)for predicting highway mileage from city mileage.(a) what is the slope of this line? (enter your answer to three decimal in words what the numerical value of the slope tells us.a. on the average, highway mileage decreases by 1.033 mpg for each additional mpg in city mileage.b. highway gas mileage increases with city gas mileage by 6.785 mpg for each additional mpg in city mileage. c. on the average, highway mileage increases by 6.785 mpg for each additional mpg in city mileaged. for every 6.785 mpg in city gas mileage, highway gas mileage increases about 1.033 mpg.e. on the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage.(b) what is the intercept? (enter your answer to three decimal places.)mpgexplain why the value of the intercept is not statistically meaningful.a. because this is an average value, calculated from a sample.b. because this is the highway mileage for zero city mpg.
c. because this is the highway mileage for slope 0.(c) find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (round your answer to two decimal mpgfind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (round your answer to two decimal mpg(d) draw a graph of the regression line for city mileages between 10 and 50 mpg. (be sure to show the scales for the x and y axes.)
Solved
Show answers
More tips
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- H Health and Medicine At What Age Does a Person Stop Growing?...
- F Family and Home How to Choose a Name for Your Baby?...
- F Food and Cooking Discover the Health Benefits of Cedar Nuts...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- F Food and Cooking How to Make Sushi: A Step-by-Step Guide to Perfectly Rolled Delights...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- F Food and Cooking Аэрогриль: Все, что нужно знать для подготовки здоровой и вкусной пищи...
- F Food and Cooking The Health Benefits of Flaxseed oil...
Ответ:
a) As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)
And on this case since the value for the slope is positive the best interpretation is:
E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage
Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033
b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.
And the best interpretation is given by:
B. Because this is the highway mileage for zero city mpg.
For this reason is not meaningful since we are not interested on 0 or negative city mpg.
c) highway mpg = 6.785 + (1.033 × 18)=25.38 mpg
highway mpg = 6.785 + (1.033 × 25)=32.61 mpg
d) See the figure attached.
Step-by-step explanation:
For this case we have the following linear model:
highway mpg = 6.785 + (1.033 × city mpg)
(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.
As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)
And on this case since the value for the slope is positive the best interpretation is:
E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage
Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033
(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.
For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.
And the best interpretation is given by:
B. Because this is the highway mileage for zero city mpg.
For this reason is not meaningful since we are not interested on 0 or negative city mpg.
(c) Find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (Round your answer to two decimal places.)______ mpgFind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (Round your answer to two decimal places.)______ mpg
For this case we just need to replace into the formula and we got:
highway mpg = 6.785 + (1.033 × 18)=25.38 mpg
highway mpg = 6.785 + (1.033 × 25)=32.61 mpg
(d) Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.)
See the figure attached
Ответ:
Translate triangle FGH up 4 left 5
Translate ABC down 4 right 5
Hope this helps:D Please vote Branliest!