The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway gas mileage (mpg=y). Use this data to answer the following questions. horsepower mpg 157 250 340 350 390 190 220 15 17 11 35 42 33 28 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)? ? 3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. Be careful with your sign. r = 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. ý = 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 answer to two decimal places. %

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
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Question
The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway
gas mileage (mpg=y). Use this data to answer the following questions.
220
horsepower
mpg
157 250 340 350 390 190
28 15 17
33
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)?
?
3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round
your final answer to four decimal places. Be careful with your sign.
r =
4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all
numbers to four decimal places.
ŷ
=
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 answer to two decimal
places.
%
Transcribed Image Text:The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway gas mileage (mpg=y). Use this data to answer the following questions. 220 horsepower mpg 157 250 340 350 390 190 28 15 17 33 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)? ? 3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. Be careful with your sign. r = 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. ŷ = 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 answer to two decimal places. %
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