Below is the distance (X) of lightning flash versus charge (Y) transferred to earth X 6 6 6 6 6 7 9 10 10 10 11 12 15 15 18 23 Y 23 49 46 47 94 80 133 81 114 274 260 378 197 21 1035 1065 We wish to know if there is a direct relationship between X and Y and we conducted a test at the 5% level of significance. The test statistic we should find is equal to a. 0.6333 b. 0.5631 c. 0.317 d. None Therefore, the decision we make is a. Fail to accept b. Accept c. Reject d. Can’ t tell
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.
. Below is the distance (X) of lightning flash versus charge (Y) transferred to earth
|
X |
6 |
6 |
6 |
6 |
6 |
7 |
9 |
10 |
10 |
10 |
11 |
12 |
15 |
15 |
18 |
23 |
|
Y |
23 |
49 |
46 |
47 |
94 |
80 |
133 |
81 |
114 |
274 |
260 |
378 |
197 |
21 |
1035 |
1065 |
We wish to know if there is a direct relationship between X and Y and we conducted a test at the 5% level of significance. The test statistic we should find is equal to
|
a. 0.6333 |
b. 0.5631 |
c. 0.317 |
d. None |
- Therefore, the decision we make is
|
a. Fail to accept |
b. Accept |
c. Reject |
d. Can’ t tell |
For the provided data, the value of correlation coefficient can be calculated as;
The required calculations are;
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