STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Linear regression analysis produces an equation of Y = 7-3.2X. This indicates that:
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An X value of 0 would would increase Y by 7.
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A 1 unit decrease in X results in a 3.2 unit decrease in Y.
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A 1 unit increase in X results in a 3.2 unit increase in Y.
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A 1 unit increase in X results in a 3.2 unit decrease in Y.
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Explanation:
Detailed explanation-1: -The slope is interpreted as the change of y for a one unit increase in x. This is the same idea for the interpretation of the slope of the regression line. ^ 1 represents the estimated increase in Y per unit increase in X. Note that the increase may be negative which is reflected when is negative.
Detailed explanation-2: -The mathematical formula of the linear regression can be written as y = b0 + b1*x + e, where: b0 and b1 are known as the regression beta coefficients or parameters: b0 is the intercept of the regression line; that is the predicted value when x = 0 . b1 is the slope of the regression line.
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