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	1	190	220
y	33	28	15	17	1	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$\displaystyle =$


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.
$\displaystyle {r}=$


4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.
$\displaystyle \hat{{{y}}}=$


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.
$\displaystyle \%$