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ation 26 : Determine the value of the correlation coefficient from the following results.
Cor I, ):= 3:5 and siis, = 1:2
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A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other. For example, shoe sizes go up in (almost) perfect correlation with foot length.
A correlation coefficient of -1 means that for every positive increase in one variable, there is a negative decrease of a fixed proportion in the other. For example, the amount of gas in a tank decreases in (almost) perfect correlation with speed.
Zero means that for every increase, there isn’t a positive or negative increase. The two just aren’t related.
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