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State whether the following statement is True or False: The following data is not consistent: byx + bxy =1.3 and r = 0.75

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State whether the following statement is True or False:

The following data is not consistent: byx + bxy =1.3 and r = 0.75

State whether the following statement is True or False:

If byx + bxy = 1.3 and r = 0.75 then the given data is inconsistent.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is true.

Explanation:

The given data is inconsistent because the equation byx + bxy = 1 + r2 should hold. Here 1 + (0.75)2 = 1.5626, but the given sum is 1.3, which contradicts the formula.

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Properties of Regression Coefficients
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Chapter 2.3: Linear Regression - Q.2

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