The linear correlation coefficient of the data is -0.96
The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values may be between -1 and 1.
A correlation coefficient of -1 indicates a perfect negative, or inverse, correlation, where values in one series increase as those in the other fall and vice versa.
A value of 1 indicates a direct and flawlessly positive link.
No linear relationship exists when the correlation coefficient is 0.
According to the question,
Coefficient of determination of a set of data points is given : R² = 0.93
Slope of the regression line = -5.26 (negative)
Therefore, The linear correlation coefficient is R
=> R² = 0.93
=> R = √0.93
=>R = 0.96
Since , the slope the regression line is negative, R will be negative in this case.
Therefore, the linear correlation coefficient of the data is: -0.96
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