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=
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
| 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
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
r=r=
4. If there is a linear
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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