x 0.27 1.41 2.19 2.83 2.19 1.81 0.85 3.05 y 2 3 3 6 4 2 1 5 i)From the above sampling, find the value of correlation coefficient r.
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.
A local authority is going to study the relationship between the size of household and the daily plastic
usage consumed by them. The results of a sampling given below in Table 4 indicate some values of X
(weight of plastic usage) and Y (the size of household).
Table 4
| x | 0.27 | 1.41 | 2.19 | 2.83 | 2.19 | 1.81 | 0.85 | 3.05 |
| y | 2 | 3 | 3 | 6 | 4 | 2 | 1 | 5 |
i)From the above sampling, find the value of
(ii) Using the same sample data set above, conduct the hypothesis testing to know whether the
variable X and Y are really correlates using 95% confidence level.
(iii) Find out if the decision in (ii) may change if you increase the confidence level to 99%.
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