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.
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Evaluate each function for the given values.
3. f(x) = 9x + 7- 3x
1. f(x) = 3x – 10
a. f(0)
b. f(5)
2. f(x) = 6
a. f(0)
b. fl-2)
a. f(0)
b. f(0.5)
4. The linear regression equation for the given data is y = -x + 19.7. Complete the table for the linear
regression equation, rounding your answers to the nearest tenth. Then construct and interpret a
residual plot.
y
Predicted Value
Residual Value
17
4
16
6
15
8
12
10
9.
12
8
5. The linear regression equation for the given data is y = 3.93x – 11.33, r = 0.8241. Consider the
scatterplot, the correlation coefficient, and the corresponding residual plot. State whether a linear
model is appropriate for the data.
2
4
6.
8.
10
12
y
2
1
12
25
48
Scatter Plot and Line of Best Fit
Residual Plot
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