STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Which of the following are true about the least-square regression line? I. The average of its residuals is 0. II. The sum of its residuals is zero. III. It is the line that produces the highest r-value.
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III only
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I and II
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I and III
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I, II and III
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Explanation:
Detailed explanation-1: -In linear regression, the relationship between the two variables is assumed to be linear. This answer is true.
Detailed explanation-2: -The least squares method is the most widely used procedure for developing estimates of the model parameters. For simple linear regression, the least squares estimates of the model parameters 0 and 1 are denoted b0 and b1. Using these estimates, an estimated regression equation is constructed: ลท = b0 + b1x .
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