Here is data comparing the vehicle engine size in liters to city mile per gallon (mpg). Size 6.2 5.4 3.0 3.7 3.6 5.0 6.4 3.5 City 13 16 20 19 19 17 15 17 mpg Graph the scatter plot. Is the data approximately linear? [ Select ] Test the claim of correlation at the a = 0.5level of significance. Find the P-value [ Select ] Will the null hypothesis be rejected? [ Select ] Round the regression equation to nearest integer and use it to predict the city mpg of a vehicle with an engine 4.5 L in size. [ Select ]
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.
![Here is data comparing the vehicle engine size in liters to city mile per gallon (mpg).
Size
6.2
5.4
3.0
3.7
3.6
5.0
6.4
3.5
City
13
16
20
19
17
15
17
mpg
Graph the scatter plot. Is the data approximately linear?
[ Select ]
Test the claim of correlation at the a = 0.5level of significance. Find the P-value
[Select]
Will the null hypothesis be rejected? [ Select ]
Round the regression equation to nearest integer and use it to predict the city mpg
of a vehicle with an engine 4.5 L in size. [ Select ]
19](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F174fc2d4-49a8-42e5-8ed0-f9ff3c7cff83%2F3fd487b4-3317-48f2-9a8a-7b69361e53c3%2Fh49e0z_processed.jpeg&w=3840&q=75)
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