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 gas mileage (mpg)?
? Yes No
3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.
r=r=
4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.
ˆy=y^=
5. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal places.
6. If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower? If there is not a linear correlation, leave it blank. Round your final anwer to two decimal places.
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