Luz is selling tomatoes in Sampaloc market. She decided to change the price of her tomatoes every day for seven days to see whether the change in the price of tomatoes would affect sales. Her collected data are shown in the following table. a. determine the regression equation b. predict the number of kilograms of tomatoes to be sold if the price of tomatoes will be lowered to 35 pesos per kilogram. day price per kilogram number of kilograms sold 1 45 30 2 50 25 3 55 25 4 40 40 5 52 26 6 48 35 7 60 15
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.
Luz is selling tomatoes in Sampaloc market. She decided to change the price of her tomatoes every day for seven days to see whether the change in the price of tomatoes would affect sales. Her collected data are shown in the following table.
a. determine the regression equation
b. predict the number of kilograms of tomatoes to be sold if the price of tomatoes will be lowered to 35 pesos per kilogram.
| day | price per kilogram | number of kilograms sold |
| 1 | 45 | 30 |
| 2 | 50 | 25 |
| 3 | 55 | 25 |
| 4 | 40 | 40 |
| 5 | 52 | 26 |
| 6 | 48 | 35 |
| 7 | 60 | 15 |
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