Show work done, no excel. x 35 45 52 66 76 81 y 1 4 10 20 26 39 Determine the Correlation Coefficient for the above ordered paired data set. Determine the Coefficient of Determination How much of the relationship or association between x and y is due to random chance? Use Linear Regression method to create a Linear Equation for this data. Using your derived equation, what would be the expected value of y if x is equal to 65?
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.
Show work done, no excel.
x |
35 |
45 |
52 |
66 |
76 |
81 |
y |
1 |
4 |
10 |
20 |
26 |
39 |
- Determine the
Correlation Coefficient for the above ordered paired data set. - Determine the Coefficient of Determination
- How much of the relationship or association between x and y is due to random chance?
- Use Linear Regression method to create a Linear Equation for this data.
- Using your derived equation, what would be the expected value of y if x is equal to 65?
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