Market trader sells mobiles on his stall. He sells the mobiles for a different fixed price, x mobiles in each of six weeks. He notes the number of mobiles, y that he sells in each of these six weeks. The results are shown in the following table: X y 5 12 2 10 9 15 3 11 11 17 Find the coefficient of correlation and interpret it. Calculate the equation of the regression line of on x y* =a+bx If he sells 8 mobiles, how many weeks he will take to sell?
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.
Market trader sells mobiles on his stall. He sells the mobiles for a different fixed price, x mobiles in each of six weeks. He notes the number of mobiles, y that he sells in each of these six weeks. The results are shown in the following table:
| X | y |
|
5 |
12 |
|
2 |
10 |
|
9 |
15 |
|
3 |
11 |
|
11 |
17 |
- Find the coefficient of
correlation and interpret it. - Calculate the equation of the regression line of on x y* =a+bx
- If he sells 8 mobiles, how many weeks he will take to sell?
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