Question

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 30 MPG, what should the consumer expect?

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
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can...
A car manufacturer claims that the miles per gallon (mpg) of all its midsize cars can be modeled with a normal model with N(33, 1.70). What proportion of cars have miles per gallon less than 31.2 [P(x ≤ 31.2 mpg)]? What proportion of cars will have miles per gallon greater than 36 [P(x ≥ 36 mpg)]? What proportion of cars will have miles per gallon greater than 29.7 [P(x ≥ 29.7 mpg)]? What proportion of cars will have miles per...
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline...
The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 27.4 mpg and a standard deviation of 10.2 mpg. If 29 such cars are tested, what is the probability the average mpg achieved by these 29 cars will be greater than 29? Answer: Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry. Make sure you include the...
The table below contains the overall miles per gallon​ (MPG) of a type of vehicle. Complete...
The table below contains the overall miles per gallon​ (MPG) of a type of vehicle. Complete parts a and b below. 33 24 31 34 28 29 20 33 33 29 43 32 33 22 a. Construct a 99​% confidence interval estimate for the population mean MPG for this type of​ vehicle, assuming a normal distribution.The 99% confidence interval estimate is from____MPG to ____MPG. ​(Round to one decimal place as​ needed.)
An automobile manufacturer claims that their car has a 33.7 miles/gallon (MPG) rating. An independent testing...
An automobile manufacturer claims that their car has a 33.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car. After testing 12 cars they found a mean MPG of 34.0 with a variance of 2.56. Is there sufficient evidence at the 0.05 level that the cars have an incorrect manufacturer's MPG rating? Assume the population distribution is approximately normal. Step 4 of 5 : Determine the decision rule for rejecting the null...
The highway mileages of the 20 gasoline-powered two-seater cars (in miles per gallon), arranged in increasing...
The highway mileages of the 20 gasoline-powered two-seater cars (in miles per gallon), arranged in increasing order; are 29 24 32 23 28 25 23 16 28 13 17 19 15 20 23 25 26 28 16 22 Write down the five-point summary in an order of min, Q1, M, Q3, max. I. 13 mpg 18.5 mpg 23.5 mpg 28 mpg 32 mpg II. 13 mpg 18 mpg 23 mpg 27 mpg 32 mpg III. 13 mpg 17.5 mpg 23...
Assume that fuel economy follows a normal distribution with mean of 24 mpg (miles per gallon)...
Assume that fuel economy follows a normal distribution with mean of 24 mpg (miles per gallon) and a standard deviation of 6 mpg. (a) In what interval would you expect the central 68% of autos to be found? (b) What percent of autos should get more than 30 mpg? (c) What gas mileage corresponds to the worst 2.5% of all cars?
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...
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
11. An automobile manufacturer claims that its van has a 54.5 miles/gallon (MPG) rating. An independent...
11. An automobile manufacturer claims that its van has a 54.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 220 vans, they found a mean MPG of 54.2. Assume the variance is known to be 4.84. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null...
A car manufacturer claims that its cars make on average 30 miles per gallon on a...
A car manufacturer claims that its cars make on average 30 miles per gallon on a highway. A consumer group tests 25 cars on a highway and finds the average of 27 miles per gallon and a standard deviation of 5.81 miles per gallon. Do these results doubt the claim made by the car manufacturer about the population mean μ? Test the hypotheses H0: μ =30 versus Ha:μ ≠ 30 at 0.05 level of significance. Suppose that a test of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT