By using a scatter plot we can get the relationship of two variables or correlation.
There will be two types of correlation.
If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.
Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.
Similarly if slope of the estimated line will be negative then it will be a negative correlation.
From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.
Hence the correct choice is -0.8.
Answer:
A linear function has the form y=mx+b
A line has a proportional relationship if y/x is always the same ratio for any value.
The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.
A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.
In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.
This happens if they have the shape y=mx.
Step-by-step explanation:
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