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The regression coefficients remain unaffected due to a: A) change of scale B) change of origin C) both a) and b) D)none of the above Answer?
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The regression coefficients remain unaffected due to a: A) change of s...




Change of Scale and Origin in Regression Coefficients


When it comes to regression analysis, the regression coefficients remain unaffected due to:



  • Change of Scale: One key property of regression coefficients is that they are not affected by a change of scale. This means that if the units of measurement for a variable are changed (e.g., from meters to centimeters), the regression coefficients will remain the same. This is because changing the scale of a variable does not alter the relationship between that variable and the dependent variable.


  • Change of Origin: Similarly, a change of origin does not impact the regression coefficients. Shifting the zero point of a variable (e.g., from measuring temperature in Celsius to Fahrenheit) will not alter the regression coefficients because it does not change the underlying relationship between the variables.



Therefore, the correct answer to the question is both a) and b). Changes in scale and origin do not affect the regression coefficients, as they are determined by the relationship between the variables rather than the specific units or zero points chosen for measurement.



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The regression coefficients remain unaffected due to a: A) change of scale B) change of origin C) both a) and b) D)none of the above Answer?
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