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 40 60 55 25 30 50 55 25 50 Fuel Efficiency 32 27 21 25 34 30 28 27 37 25 (a) Construct a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. The graph starts at the points (25, 25) and (25, 26) and moves to the right toward the point (60, 28). The points are all plotted close together and stay between the vertical values of 24 and 29 inclusive. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. Most of the points follow a trend that starts at (25, 18) and moves upward towards the point (60, 34). The points are all plotted close together with very little scatter. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. Most of the points follow a trend that starts at (25, 37) and moves downward towards the point (60, 21). The points are all plotted close together with very little scatter. A scatter diagram has 10 points. The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70. The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40. The points plotted from the driving speed values of 25 to 60 are evenly scattered between fuel efficiency values of 23 and 35. (b) Comment on any apparent relationship between these two variables. For midsized cars, all driving speeds seem to yield about the same miles per gallon.For midsized cars, there seems to be no relationship between driving speeds and fuel efficiency. For midsized cars, lower driving speeds seem to yield higher miles per gallon.For midsized cars, lower driving speeds seem to yield lower miles per gallon.
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.
Driving Speed | 30 | 40 | 60 | 55 | 25 | 30 | 50 | 55 | 25 | 50 |
---|---|---|---|---|---|---|---|---|---|---|
Fuel Efficiency | 32 | 27 | 21 | 25 | 34 | 30 | 28 | 27 | 37 | 25 |
- The horizontal axis is labeled: Driving Speed (MPH), and
ranges from 0 to 70. - The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40.
- The graph starts at the points (25, 25) and (25, 26) and moves to the right toward the point (60, 28). The points are all plotted close together and stay between the vertical values of 24 and 29 inclusive.
- The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70.
- The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40.
- Most of the points follow a trend that starts at (25, 18) and moves upward towards the point (60, 34). The points are all plotted close together with very little scatter.
- The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70.
- The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40.
- Most of the points follow a trend that starts at (25, 37) and moves downward towards the point (60, 21). The points are all plotted close together with very little scatter.
- The horizontal axis is labeled: Driving Speed (MPH), and ranges from 0 to 70.
- The vertical axis is labeled: Fuel Efficiency (MPG), and ranges from 0 to 40.
- The points plotted from the driving speed values of 25 to 60 are evenly scattered between fuel efficiency values of 23 and 35.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images