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Chapter 4: Problem 58

Coefficient of Determination Does a correlation of \(-0.70\) or \(+0.50\) give a larger coefficient of determination? We say that the linear relationship that has the larger coefficient of determination is more strongly correlated. Which of the values shows a stronger correlation?

Short Answer

Expert verified
Therefore, the correlation of -0.70 has a larger coefficient of determination and shows a stronger correlation as compared to +0.50.

Step by step solution

01

Identify the coefficients

The correlation coefficients given are -0.70 and +0.50.
02

Find the square of correlation coefficients

The coefficient of determination is obtained by squaring the correlation coefficient. Let's calculate the square for both coefficients: \((-0.70)^2 = 0.49\) and \((+0.50)^2 = 0.25\).
03

Compare the coefficient of Determination

Comparing 0.49 and 0.25, we see that 0.49 is greater than 0.25.

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Most popular questions from this chapter

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