Mathematics · Correlation and Regression
For a given set of paired data, the correlation coefficient is r, and the regression coefficients are bxy and byx. If each value of the x series is divided by 5, what effect does it have on these coefficients?
- 1The three coefficients remain unchanged
- 2There is no change in r, but byx changes to byx/5 and bxy changes to 5bxy✓
- 3Each of the coefficients will be reduced to one-fifth of its value
- 4There is no change in r, but byx changes to 5byx and bxy changes to bxy/5
Correct answer
There is no change in r, but byx changes to byx/5 and bxy changes to 5bxy
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