Use the data shown in the table that shows the number of bacteria present after a certain number of hours. Replace each y-value in the table with its logarithm, log y. Find the equation of the regression line for the transformed data. Then construct a scatterplot of (x, log y) and sketch the regression line with it. Number of hours, X 1 2 3 4 5 6 7 Number of bacteria, Y 284 471 819 1350 2336 3850 6456
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.
Use the data shown in the table that shows the number of bacteria present after a certain number of hours. Replace each y-value in the table with its logarithm, log y. Find the equation of the regression line for the transformed data. Then construct a scatterplot of (x, log y) and sketch the regression line with it.
| Number of hours, X | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Number of bacteria, Y | 284 | 471 | 819 | 1350 | 2336 | 3850 | 6456 |
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