The coefficient of determination of a set of data points is 0.93 and the slope of the regression line is -5.26. Determine the linear correlation coefficient of the data.

The linear correlation coefficient of the data is: -0.96

Recall:

Thus, given:

Coefficient of determination of a set of data points = 0.93

Slope of the regression line = -5.26

Therefore:

R² = 0.93

R = √0.93

R = 0.96

Since the slope the regression line is negative, R will be negative in this case.

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- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

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step-by-step explanation: