. y=____+______x (Round to two decimal places as needed.) 2. Identify a characteristic of the data that is ignored by the regression line. A.There is no trend in the data. B.The data has a pattern that is not a straight line. C.There is an influential point that strongly affects the graph of the regression line. D.There is no characteristic of the data that is ignored by the regression line.
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.
We have used the excel data analysis tool to run the regression analysis.
| x | y | (x-xbar) | (x-xbar)^2 | (y-ybar) | (y-ybar)^2 | (x-xbar)*(y-ybar) |
| 7 | 8.05 | -1 | 1 | 0.65 | 0.4225 | -0.65 |
| 13 | 8.31 | 5 | 25 | 0.91 | 0.8281 | 4.55 |
| 9 | 9.25 | 1 | 1 | 1.85 | 3.4225 | 1.85 |
| 12 | 8.96 | 4 | 16 | 1.56 | 2.4336 | 6.24 |
| 11 | 9.34 | 3 | 9 | 1.94 | 3.7636 | 5.82 |
| 3 | 2.31 | -5 | 25 | -5.09 | 25.9081 | 25.45 |
| 6 | 7.04 | -2 | 4 | -0.36 | 0.1296 | 0.72 |
| 5 | 5.74 | -3 | 9 | -1.66 | 2.7556 | 4.98 |
| 10 | 9.44 | 2 | 4 | 2.04 | 4.1616 | 4.08 |
| 4 | 4.16 | -4 | 16 | -3.24 | 10.4976 | 12.96 |
| 8 | 8.8 | 0 | 0 | 1.4 | 1.96 | 0 |
The slope is given by
The intercept is given by
4
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