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Q15Section I (Objective (Q1–Q80))15 of 79

Linear Models & Regression — identifying valid regression assignment from two lines

It is known that 8X−10Y+66=08X-10Y+66=0 and 40X−18Y=21440X-18Y=214 are two regression equations. Consider the following statements:

I. The regression coefficient of X on Y is 0.8.\text{I. The regression coefficient of } X \text{ on } Y \text{ is } 0.8.

II. The correlation coefficient is 0.6.\text{II. The correlation coefficient is } 0.6.

III. The most probable value of Y, when X=30, is 30.6.\text{III. The most probable value of } Y, \text{ when } X=30, \text{ is } 30.6.

Which of the statements given above are correct?

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