While in high school, Clayton started his own T-shirt printing business. The table below shows the number of T-shirts Clayton has sold each year since starting his business in 2006. # yrs since 2006 (y) 0 1 2 3 4 5 6 # T-shirts Sold T(y) 50 75 175 125 250 350 325 The linear regression equation representing the data shown in the table is T(y) = 51.79y + 37.5 with a correlation coefficient r = 0.94.
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.
While in high school, Clayton started his own T-shirt
printing business. The table below shows the number of
T-shirts Clayton has sold each year since starting his
business in 2006.
|
# yrs since 2006 (y) |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
# T-shirts Sold T(y) |
50 |
75 |
175 |
125 |
250 |
350 |
325 |
The linear regression equation representing the data shown in the table is T(y) = 51.79y + 37.5 with a
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