1. r closest to 1: figure
2. No linear relationship: Figure 1
3. r equal to 1: Figure 3
Step-by-step explanation:
Correlation is the link between two variables or things"
- When one quantity is increasing and the other is also increasing then the correlation co-efficient is positive
- When one quantity is increasing and the other is decreasing then the correlation is negative.
Now for the scatter plot of a correlation:
- If the data points are close to a best fit line then the correlation is strong
- If the data points follow a linear relationship i.e. a straight line then the correlation is 1 or -1 depending on the sign of correlation
- If the data points are more scattered then they have least correlation
Correlation coefficient closest to 1:
We can see in figure 4 that the data points are gathered across a line but not a perfect line and both the quantities are increasing so the correlation coefficient is close to 1.
Least Evidence of linear relationship:
Figure 1 can be observed to conclude that the data points are scattered on whole scatter plot hence creating no relationship
Correlation coefficient equal to -1:
We can see in figure 3 that one quantity is increasing and the other is decreasing and the data points are forming a line so the correlation coefficient will be -1
Keywords: Correlation, Scatter plot
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