Question
Use Minitab Please to answer this question. 1. (10 points) Changing Units - How does it affect correlation and the LSR Line?How does the fuel
Use Minitab Please to answer this question.
1. (10 points) Changing Units - How does it affect correlation and the LSR Line?How does the fuel consumption of a car change as its speed increases? The Minitab Express file contains data from the Federal Highway Administration report* for fuel efficiency of vehicles.
In the Minitab Express worksheet, the speed (mph) and the fuel (mpg) are recorded in C1 and C2 respectively. Using the following conversions, 1 mile per hour = 1.609344 kilometers/hour and 1 mile per gallon = 0.425143707 kilometers/Liter, the speed has been converted to kilometer per hour (km/h) in C4 and fuel consumption has been converted to kilometer per liter (km/L) in C5.
- Determine the explanatory and response variable.
- Use Minitab Express to calculate a[simple linear regression line]equation of speed (mph) and the fuel (US gallon/mile) used. Include the regression equation and the[simple line scatterplot]in the document you submit. (Use columns C1 and C2. Make sure the explanatory variable is on the horizontal axis.)
- Use Minitab Express to calculate a[simple linear regression line] equationof speed (km/hr) and the fuel (liters/100km) used. Include theregressionequation and the[simple linear regression scatterplot]in the document you submit. (Use columns C4 and C5. Make sure the explanatory variable is on the horizontal axis.)
- Are there any differences in the plots in b and c?
- Use Minitab Express to compute the[Pearson correlation coefficient]for both sets of data (columns C1 and C2 together and columns C4 and C5 together). Did correlation change when the units were changed?
- Did the equation of the Least Squares Regression (LSR) line change when the units were changed?
- Graph and interpret the[residual plot]. Only one plot is necessary, use columns C1 and C2. Plot the residuals against the explanatory variable. Recall: To interpret the residual plots, remember that if there is a pattern in the residual plot, then the LSR line is not appropriate. If there is not a pattern, or the residuals look random, then the LSR line is appropriate.
- Looking at the values of the correlation coefficient and the residual plot, do you think it is appropriate to use the LSR line as a model for this data set? Explain.
This is the Minitab Worksheet in CSV so you can easily copy and paste it in excel and upload it also.
Speed (mph) | Fuel Efficiency (MPG) | Speed (km/h) | Fuel Efficiency (km/L) | |
15 | 24.4 | 24.14016 | 10.37350645 | |
20 | 27.9 | 32.18688 | 11.86150943 | |
25 | 30.5 | 40.2336 | 12.96688306 | |
30 | 31.7 | 48.28032 | 13.47705551 | |
35 | 31.2 | 56.32704 | 13.26448366 | |
40 | 31 | 64.37376 | 13.17945492 | |
45 | 31.6 | 72.42048 | 13.43454114 | |
50 | 32.4 | 80.4672 | 13.77465611 | |
55 | 32.4 | 88.51392 | 13.77465611 | |
60 | 31.4 | 96.56064 | 13.3495124 | |
65 | 29.2 | 104.60736 | 12.41419624 | |
70 | 26.8 | 112.65408 | 11.39385135 | |
75 | 24.8 | 120.7008 | 10.54356393 |
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