If x is a real number, find 49x^2+14x(19-7x)+(19-7x)^2.
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Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:
The formula to compute covariance is:
The formula to compute the variances are:
Consider the table attached below.
Compute the covariance as follows:
Thus, the covariance is 75.
Compute the variance of X and Y as follows:
Compute the correlation coefficient as follows:
Thus, the Pearson's coefficient of correlation between the is 0.700.
