Car Weight Miles Per Gallon 1 2200 33 2 4400 19 3 3200 26 4 4700 17 5 2300 37 6 2700 32 7 4100 22 8 3700 26 9 2500 33 10 Medians: Using the methods previously described, the medians of each group were found to be: Low: (Answer, Answer) Medium: (Answer, Answer) High: (Answer , Answer) Use these points to find the equation of the median fit regression line. Slope: What is the slope of the median regression line? m=yH−yLxH−xL=m=yH−yLxH−xL= Answer (Round to the nearest hundredth.) Y-Intercept: What is the yy-intercept of the median regression line? b=(yL−mxL)+(yM−mxM)+(yH−mxH)3b=(yL−mxL)+(yM−mxM)+(yH−mxH)3 b=(33−(−0.01)(2300))+(27−(−0.01)(3350))+(19−(−0.01)(4400))3b=(33−(−0.01)(2300))+(27−(−0.01)(3350))+(19−(−0.01)(4400))3 b≈b≈ Answer (Round to the nearest hundredth.) Regression Line: The equation of the median regression line is y=y= Answer x+x+ Answer . 3500 28
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.
| Car | Weight | Miles Per Gallon |
|---|---|---|
| 1 | 2200 | 33 |
| 2 | 4400 | 19 |
| 3 | 3200 | 26 |
| 4 | 4700 | 17 |
| 5 | 2300 | 37 |
| 6 | 2700 | 32 |
| 7 | 4100 | 22 |
| 8 | 3700 | 26 |
| 9 | 2500 | 33 |
| 10
Medians: Using the methods previously described, the medians of each group were found to be: Low: (Answer, Answer)
High: (Answer , Answer)
Use these points to find the equation of the Slope: What is the slope of the median regression line? m=yH−yLxH−xL=m=yH−yLxH−xL= Answer
Y-Intercept: What is the yy-intercept of the median regression line? b=(yL−mxL)+(yM−mxM)+(yH−mxH)3b=(yL−mxL)+(yM−mxM)+(yH−mxH)3 b=(33−(−0.01)(2300))+(27−(−0.01)(3350))+(19−(−0.01)(4400))3b=(33−(−0.01)(2300))+(27−(−0.01)(3350))+(19−(−0.01)(4400))3 b≈b≈ Answer
Regression Line: The equation of the median regression line is y=y= Answer
|
3500 | 28 |
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