Question
निम्न तालिका में विभिन्न संख्या में किराये की कारों के मालिक एजेंसियों की सूची दी गई है। इनमें से प्रत्येक एजेंसी की वार्षिक आय यहाँ दी गई है।
| एजेंसी | कारें (दस हज़ार में) | राजस्व (करोड़ रुपये में) |
|---|---|---|
| A | 63.0 | 7.0 |
| B | 29.0 | 3.9 |
| C | 20.8 | 2.1 |
| D | 19.1 | 2.8 |
| E | 13.4 | 1.4 |
| F | 8.5 | 1.5 |
अध्ययन यह विश्लेषण करना चाहता था कि एजेंसी के पास किराये की कारों की संख्या और उसकी वार्षिक आय के बीच कोई महत्वपूर्ण संबंध है या नहीं। दी गई तालिका से सहसंबंध गुणांक की गणना करें।
a=0.05 और t - वितरण तालिका से प्राप्त महत्वपूर्ण मार्न 2.776 के सन्दर्भ में सहसंबंध गुणांक की सार्थकता का परीक्षण करें।
Answer :
Word Count : 857
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सहसंबंध गुणांक की गणना करने तथा उसकी सांख्यिकीय सार्थकता का परीक्षण करने के लिए हम निम्नलिखित चरणों का पालन करेंगे: --- प्रथम चरण: तालिका को उपयुक्त रूप में व्यवस्थित करना | एजेंसी | X = कारें (दस हज़ार में) | Y = राजस्व (करोड़ रुपये में) | | ------ | ------------------------ | ---------------------------- | | A | 63.0 | 7.0 | | B | 29.0 | 3.9 | | C | 20.8 | 2.1 | | D | 19.1 | 2.8 | | E | 13.4 | 1.4 | | F | 8.5 | 1.5 | --- द्वितीय चरण: आवश्यक संख्यात्मक सारणियाँ बनाना हमें Pearson के सहसंबंध गुणांक (r) के लिए निम्नलिखित गणनाएँ करनी होंगी: * $\sum X$, $\sum Y$ * $\sum XY$, $\sum X^2$, $\sum Y^2$ | एजेंसी | X | Y | XY | X² | Y² | | ------ | ----- | ---- | ------ | ------- | ----- | | A | 63.0 | 7.0 | 441.0 | 3969.00 | 49.00 | | B | 29.0 | 3.9 | 113.1 | 841.00 | 15.21 | | C | 20.8 | 2.1 | 43.68 | 432.64 | 4.41 | | D | 19.1 | 2.8 | 53.48 | 364.81 | 7.84 | | E | 13.4 | 1.4 | 18.76 | ___ ____ _________ __________ ________ ________ _____ _____ _____ __________.
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