Question
Download Solution PDFयह दिया गया है कि X̅ = 10, Y̅ = 90, σX = 3, σY = 12 और rXY = 0.8 है। Y पर X का समाश्रयण समीकरण क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
समाश्रयण समीकरण: माना कि x और y दो चर हैं, तो समीकरण को निम्न रूप में ज्ञात किया गया है:
\(\frac{{{\rm{x}} - {\rm{\bar x}}}}{{{{\rm{\sigma }}_{\rm{x}}}}} = {\rm{r}}\left[ {\frac{{{\rm{y}} - {\rm{\bar y}}}}{{{{\rm{\sigma }}_{\rm{y}}}}}} \right]\)
गणना:
दिया गया है: x̅ = 10, y̅ = 90, σx = 3, σy = 12 और rxy = 0.8
इसलिए, समाश्रयण समीकरण निम्न रूप में ज्ञात किया गया है
\(\frac{{{\rm{x}} - {\rm{\bar x}}}}{{{{\rm{\sigma }}_{\rm{x}}}}} = {\rm{r}}\left[ {\frac{{{\rm{y}} - {\rm{\bar y}}}}{{{{\rm{\sigma }}_{\rm{y}}}}}} \right]\)
\(\Rightarrow \frac{{{\rm{x}} - 10}}{3} = 0.8\left[ {\frac{{{\rm{y}} - 90}}{{12}}} \right]\)
⇒ x - 10 = 0.2 × {y - 90}
⇒ x = 0.2y - 18 + 10
⇒ x = 0.2y - 8
⇒ X = 0.2Y - 8Last updated on Jun 18, 2025
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