Write a report using Word. Cover the following topics. This file contains some information about different cars. Car Weight (pounds), x Miles per Gallon, y A 2750 31.5 B 3120 27.9 C 3385 23.7 D 3740 23.3 E 4225 21 Create a scatterplot for the data in the Weight and Braking columns. Paste it here. a) Using StatCrunch or TI 83/84 to calculate the linear correlation between the data in the Weight and MPG columns. b) Explain the mathematical relationship between Weight and MPG based on the linear correlation coefficient. Be certain to include comments about the magnitude and the direction of the correlation. c) Write the equation for the least-squares regression line if there is one. d) Predict the miles per gallon of car C and compute the residual.
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.
Write a report using Word. Cover the following topics.
This file contains some information about different cars.
| Car | Weight (pounds), x | Miles per Gallon, y |
| A | 2750 | 31.5 |
| B | 3120 | 27.9 |
| C | 3385 | 23.7 |
| D | 3740 | 23.3 |
| E | 4225 | 21 |
Create a scatterplot for the data in the Weight and Braking columns. Paste it here.
a) Using StatCrunch or TI 83/84 to calculate the
b) Explain the mathematical relationship between Weight and MPG based on the linear
c) Write the equation for the least-squares regression line if there is one.
d) Predict the miles per gallon of car C and compute the residual.
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