The logarithmic expression of 4^(1/2) = 2 is
The expression is given as:
4^(1/2) = 2
Take the logarithm of both sides
log(4^(1/2)) = log(2)
Apply the change of base rule
1/2log(4) = log(2)
Divide both sides by log(4)
1/2 = log(2)/log(4)
Change the base
Rewrite as:
Hence, the logarithmic expression of 4^(1/2) = 2 is
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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.
