You are researching the growth of a species of fish. You gather a sample of fish and record the age in weeks of each fish and its mass in grams. The data is displayed on the grid below with the blue points. Age of fish (weeks) Mass of fish (e) 4. 8. 12 16 20 28 40 44 450 650 450 250 700 1000 1200 1350 You construct a linear model for the data, and your equation is y = 23.78z + 244.87 where y is the mass in grams of the fish and z is the age in weeks. a) Use the equation to identify the slope of the linear model. In the context of this problem what does the slope represent? [This box will not be graded but answers will be reviewed by your teacher.] b) Use the equation to identify the y-intercept of the linear model. In the context of this problem what does the y-intercept represent? [This box will not be graded but answers will be reviewed by your teacher.]
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.
![You are researching the growth of a species of fish. You gather a sample of fish and record the age
in weeks of each fish and its mass in grams. The data is displayed on the grid below with the blue
points.
Age of fish (weeks)
Mass of fish (e)
4.
8.
12
16
20
28
40
44
450
650
450
250
700
1000
1200
1350
You construct a linear model for the data, and your equation is y = 23.78z + 244.87 where y is the mass
in grams of the fish and z is the age in weeks.
a) Use the equation to identify the slope of the linear model.
In the context of this problem what does the slope represent? [This box will not be graded but answers will
be reviewed by your teacher.]
b) Use the equation to identify the y-intercept of the linear model.
In the context of this problem what does the y-intercept represent? [This box will not be graded but
answers will be reviewed by your teacher.]
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