In experimental studies conducted on bacteria in the bioprocess laboratory, bacterial growth rate (Y) was measured in response to different concentrations of the substrate (fattening) substance added to the fattening medium. The table below gives the results. Since it is known that these data fit the Y=aX^b model, write the model by finding the constants contained in the regression model and roughly draw the graph manually. Observation Substrate Concentration (X) Growth rate (Y) 1 360 90 2 165 105 3 21 21 4 23 26 5 11 14 6 18 28
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.
In experimental studies conducted on bacteria in the bioprocess laboratory, bacterial growth rate (Y) was measured in response to different concentrations of the substrate (fattening) substance added to the fattening medium. The table below gives the results. Since it is known that these data fit the Y=aX^b model, write the model by finding the constants contained in the regression model and roughly draw the graph manually.
|
Observation |
Substrate Concentration (X) |
Growth rate (Y) |
|
1 |
360 |
90 |
|
2 |
165 |
105 |
|
3 |
21 |
21 |
|
4 |
23 |
26 |
|
5 |
11 |
14 |
|
6 |
18 |
28 |
Step by step
Solved in 2 steps with 1 images
