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If by positive you mean that an increase in the independent variable is accompanied by an increase in the dependent variable then this will be indicated by a correlation close to one.
What is considered 'close to one' depends on the field of study. In some fields where it can be quite difficult to establish relationships between variables a correlation of, say, 0.35 might be considered important, provided of course that it has been shown to be statistically significant.
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What is a positive linear relationship?
A linear relationship is one where your equation forms a straight line. A positive linear relationship is one where this line has a positive gradient.
What does a scatter plot with strong positive correlation look like?
The line that connects the dots is relatively straight.
What is Definition of linear regression and correlation in statistics?
Whenever you are given a series of data points, you make a linear regression by estimating a line that comes as close to running through the points as possible. To maximize the accuracy of this line, it is constructed as a Least Square Regression Line (LSRL for short). The regression is the difference between the actual y value of a data point and the y value predicted by your line, and the LSRL minimizes the sum of all the squares of your regression on the line. A Correlation is a number between -1 and 1 that indicates how well a straight line represents a series of points. A value greater than one means it shows a positive slope; a value less than one, a negative slope. The farther away the correlation is from 0, the less accurately a straight line describes the data.
What does a scatter plot look like Having a positive linear correlation?
It looks like a straight line increasing as the x-values increase. So basically a line that goes from the bottom left area to the top right area on a graph.
If the relationship between the manipulated variable and the responding variable is a direct proportion what will a line graph of this relationship look like?
Straight line.
