A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data: Driving Speed 30 50 40 55 30 25 60 25 50 55 Fuel Efficiency 28 25 25 23 30 32 21 35 26 25 Construct a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis.
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.
A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data:
Driving Speed |
30 |
50 |
40 |
55 |
30 |
25 |
60 |
25 |
50 |
55 |
Fuel Efficiency |
28 |
25 |
25 |
23 |
30 |
32 |
21 |
35 |
26 |
25 |
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Construct a
scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis.
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