Larger engines use more gas. Here is data comparing the vehicle engine size in liters to city mile per gallon (mpg). Size 6.2 5.4 3.0 3.9 3.6 5.0 6.4 3.5 City mpg 13 14 20 19 19 20 15 17 Test the claim of correlation at the α = 0.05 level of significance. Find the P-value Will the null hypothesis be rejected? Round the regression equation to one decimal place and use it to predict the city mpg of a vehicle with an engine 6.0 L in size.
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.
Larger engines use more gas. Here is data comparing the vehicle engine size in liters to city mile per gallon (mpg).
| Size | 6.2 | 5.4 | 3.0 | 3.9 | 3.6 | 5.0 | 6.4 | 3.5 |
| City mpg | 13 | 14 | 20 | 19 | 19 | 20 | 15 | 17 |
- Test the claim of
correlation at the α = 0.05 level of significance. Find the P-value - Will the null hypothesis be rejected?
- Round the regression equation to one decimal place and use it to predict the city mpg of a vehicle with an engine 6.0 L in size.
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