Consider the data set given in the accompanying table. Complete parts (a) through (d). E Click the icon to view the data table. (a) Determine the least-squares regression line. Choose the correct answer below. Data ble O A. The least-squares regression line is y = 2.1x +1.0. O B. The least-squares regression line is y = 1.0x + 2.1. OC. The least-squares regression line is y=0.5x +2.25. O D. The least-squares regression line is y = 2.1x +2.25. -2 -1 y - 4 1 3. Print Done Click to select your answer and then click Check Answer. Clear All parts remaining
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.
Given,
| x | y |
| -2 | -4 |
| -1 | 0 |
| 0 | 1 |
| 1 | 3 |
| 2 | 5 |
The table below shows the required calculation-
| x | y | ||||
| -2 | -4 | -2 | -5 | 10 | 4 |
| -1 | 0 | -1 | -1 | 1 | 1 |
| 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 3 | 1 | 2 | 2 | 1 |
| 2 | 5 | 2 | 4 | 8 | 4 |
| 0 | 5 | 0 | 0 | 21 | 10 |
Where,
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