Determine if there is significant linear correlation at the alpha = 0.05 significance level. This is a hypothesis test for linear correlation between Foot length and Height. You can find the p-value using your calculator and the LinRegTTest command, since you have typed both lists into your calculator for question 1, or read off the p-value from the excel output. State the p-value. State the decision to reject the null hypothesis (that rho = zero) or not. State the conclusion of the hypothesis test. Foot length Height 27.8 170.5 25.7 175.3 26.7 184.8 25.9 177.8 26.4 182.3 29.2 185.4 26.8 180.3 28.1 175.3 25.4 177.8 27.9 185.4 27.5 190.5 28.8 195 26.7 175.3 26.7 175.1 25.1 172.7 28.7 182.9 29.2 189.2 27.9 185.4 28.6 193.7 23.2 165.1 24.3 166.4 26 177.8 23.8 167.6 25.1 168.3 25.4 165.7 21.9 165.1 26.2 165.1 23.8 165.1 22.2 160.2 24.6 162.6 24.6 179.1 23.7 175.9 25.6 166.4 24.1 167.6 23.8 160.1
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.
Determine if there is significant
| Foot length | Height |
| 27.8 | 170.5 |
| 25.7 | 175.3 |
| 26.7 | 184.8 |
| 25.9 | 177.8 |
| 26.4 | 182.3 |
| 29.2 | 185.4 |
| 26.8 | 180.3 |
| 28.1 | 175.3 |
| 25.4 | 177.8 |
| 27.9 | 185.4 |
| 27.5 | 190.5 |
| 28.8 | 195 |
| 26.7 | 175.3 |
| 26.7 | 175.1 |
| 25.1 | 172.7 |
| 28.7 | 182.9 |
| 29.2 | 189.2 |
| 27.9 | 185.4 |
| 28.6 | 193.7 |
| 23.2 | 165.1 |
| 24.3 | 166.4 |
| 26 | 177.8 |
| 23.8 | 167.6 |
| 25.1 | 168.3 |
| 25.4 | 165.7 |
| 21.9 | 165.1 |
| 26.2 | 165.1 |
| 23.8 | 165.1 |
| 22.2 | 160.2 |
| 24.6 | 162.6 |
| 24.6 | 179.1 |
| 23.7 | 175.9 |
| 25.6 | 166.4 |
| 24.1 | 167.6 |
| 23.8 | 160.1 |
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