Question

QUESTION 15 The speed x (in mph) of a car and the related average miles per...

QUESTION 15

  1. The speed x (in mph) of a car and the related average miles per gallon y for each speed x are given. Find the quadratic regression model that best fits the following data: (30, 18), (40, 23), (50, 28), (60, 29), (70, 25)

    Round all calculations to two decimal places.

    none of these

    Y(x) = -.02x2 - 2.80x + 22.00

    Y(x) = -.02x2 + 2.00x - 22.00

    Y(x) = -.02x 2 + 1.77x - 21.54

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For speeds between 40 mph and 65 mph, a diesel truck gets 460x460x miles per gallon...
For speeds between 40 mph and 65 mph, a diesel truck gets 460x460x miles per gallon when driven at a constant speed of xx miles per hour. Diesel gasoline costs 4 dollars per gallon. The driver is paid 22 dollars per hour. A) What is the total cost to have the truck driven 100 miles at a constant speed of 60 miles per hour? dollars. B) What is the best constant speed to drive the truck to minimize the total...
15. Engineers for a car manufacturer wanted to analyze the relationship between the speed x of...
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...
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) ___________________
The data in the table represent the weights of various domestic cars and their miles per...
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 data in the table represent the weights of various domestic cars and their miles per...
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...
6. How would driving speed relate to fuel efficiency? A study on driving speed (miles per...
6. How would driving speed relate to fuel efficiency? A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) resulted in the following sample data for sedans: Driving Speed 30 50 40 55 30 25 60 25 50 55 Fuel Efficiency 28 25 25 23 30 32 21 35 26 25 a. Construct a scatter plot with driving speed on the horizontal axis and fuel efficiency on the vertical axis b. Calculate the mean, median, variance,...
The data in the table present the speed of an automobile (miles per hour) and its...
The data in the table present the speed of an automobile (miles per hour) and its corresponding gasmileage (miles per gallon). Speed 30 40 50 60 70 Gas-Mileage 24 28 30 28 24 1. Which is the explanatory variable, and which is the response? 2. Make a scatterplot of Mileage vs Speed. (Choose the appropriate scales, and use a ruler for the plot). 3. Is the association between the two variables positive or negative? Explain. 4. Compute the correlation r...
To determine if a relationship exists between the miles per gallon (MPG) estimated by the car...
To determine if a relationship exists between the miles per gallon (MPG) estimated by the car manufacturers and the actual MPG recorded by consumers, the following data are collected: Automakers: 29 28 28 24 27 27 24 38 Consumers: 27 27 25 20 22 25 23 36 a. Calculate the correlation coefficient. b. Interpret the correlation. c. Determine the line of best fit. d. If the manufacturer claims 25 MPG, what should the consumer expect? e. If the manufacturer claims...
When traveling 40 mph (miles per hour), the distance that it takes Fred’s car to stop...
When traveling 40 mph (miles per hour), the distance that it takes Fred’s car to stop varies evenly between 120 and 155 feet. (This includes the reaction distance and the braking distance.) All of the questions are related to the stopping distance when Fred is traveling 40 mph. a) Let S be the distance it takes for Fred’s car to stop at when traveling 40 mph. Find the distribution, parameter(s), and support of S. b) What is the probability that...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT