Use the data corresponding to measurements of brain volume (measured in cm3 )and IQ. Based on the data, could we say that the correlation between these 2 variables is different from 0? (The question refers to the correlation on the population, ie. perform a hypothesis test with alpha=0.05) Data: IQ VOL 96 1005 89 963 87 1035 87 1027 101 1281 103 1272 103 1051 96 1079 127 1034 126 1070 101 1173 96 1079 93 1067 88 1104 94 1347 85 1439 97 1029 114 1100 113 1204 124 1160
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.
Use the data corresponding to measurements of brain volume (measured in cm3 )and IQ. Based on the data, could we say that the
Data:
| IQ | VOL |
| 96 | 1005 |
| 89 | 963 |
| 87 | 1035 |
| 87 | 1027 |
| 101 | 1281 |
| 103 | 1272 |
| 103 | 1051 |
| 96 | 1079 |
| 127 | 1034 |
| 126 | 1070 |
| 101 | 1173 |
| 96 | 1079 |
| 93 | 1067 |
| 88 | 1104 |
| 94 | 1347 |
| 85 | 1439 |
| 97 | 1029 |
| 114 | 1100 |
| 113 | 1204 |
| 124 | 1160 |
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