{"id":1273,"date":"2023-07-27T01:33:14","date_gmt":"2023-07-27T01:33:14","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%89%e0%a4%a4%e0%a5%8d%e0%a4%a4%e0%a5%8b%e0%a4%b2%e0%a4%a8\/"},"modified":"2023-07-27T01:33:14","modified_gmt":"2023-07-27T01:33:14","slug":"%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%89%e0%a4%a4%e0%a5%8d%e0%a4%a4%e0%a5%8b%e0%a4%b2%e0%a4%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%89%e0%a4%a4%e0%a5%8d%e0%a4%a4%e0%a5%8b%e0%a4%b2%e0%a4%a8\/","title":{"rendered":"\u0906\u0930 \u092e\u0947\u0902 \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902"},"content":{"rendered":"

<\/p>\n

\n

\u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902, \u090f\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u094b<\/a> \u092c\u093e\u0939\u094d\u092f<\/strong> \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u091a\u0930 \u0915\u0947 \u0932\u093f\u090f \u0907\u0938\u0915\u093e \u092e\u0942\u0932\u094d\u092f \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u092c\u093e\u0915\u0940 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u092c\u0939\u0941\u0924 \u092c\u0921\u093c\u093e \u0939\u0948\u0964<\/span><\/p>\n

\u0907\u0938\u0940 \u0924\u0930\u0939, \u090f\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u094b \u0909\u091a\u094d\u091a \u0909\u0924\u094d\u0924\u094b\u0932\u0928<\/strong> \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0907\u0938\u092e\u0947\u0902 \u092d\u0935\u093f\u0937\u094d\u092f\u0935\u0915\u094d\u0924\u093e \u091a\u0930 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092f\u093e \u0905\u0927\u093f\u0915 \u092e\u093e\u0928 \u0939\u0948\u0902 \u091c\u094b \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u092c\u093e\u0915\u0940 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u092c\u0939\u0941\u0924 \u0905\u0927\u093f\u0915 \u091a\u0930\u092e \u0939\u0948\u0902\u0964<\/span><\/p>\n

\u0915\u093f\u0938\u0940 \u092d\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u092a\u0939\u0932\u093e \u0915\u0926\u092e \u0909\u0928 \u091f\u093f\u092a\u094d\u092a\u0923\u093f\u092f\u094b\u0902 \u092a\u0930 \u0915\u0930\u0940\u092c \u0938\u0947 \u0928\u091c\u093c\u0930 \u0921\u093e\u0932\u0928\u093e \u0939\u0948 \u091c\u093f\u0928\u0915\u093e \u092a\u094d\u0930\u092d\u093e\u0935 \u0905\u0927\u093f\u0915 \u0939\u0948, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0947 \u0915\u093f\u0938\u0940 \u0926\u093f\u090f \u0917\u090f \u092e\u0949\u0921\u0932 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u092a\u0930 \u092c\u0921\u093c\u093e \u092a\u094d\u0930\u092d\u093e\u0935 \u0921\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n

\u092f\u0939 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u0906\u0930 \u092e\u0947\u0902 \u090f\u0915 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0914\u0930 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n

\u091a\u0930\u0923 1: \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u092c\u0928\u093e\u090f\u0902<\/strong><\/span><\/h3>\n

\u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947, \u0939\u092e R \u092e\u0947\u0902 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 mtcars<\/strong> \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u090f\u0915 \u092c\u0939\u0941 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932<\/a> \u092c\u0928\u093e\u090f\u0902\u0917\u0947:<\/span><\/p>\n

 #load the dataset<\/span>\ndata(mtcars)\n\n#fit a regression model<\/span>\nmodel <- lm(mpg~disp+hp, data=mtcars)\n\n#view model summary\n<\/span>summary(model)\n\nCoefficients:\n             Estimate Std. Error t value Pr(>|t|)    \n(Intercept) 30.735904 1.331566 23.083 < 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 3.127 on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09\n<\/strong><\/pre>\n
 \u091a\u0930\u0923 2: \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902<\/strong><\/span><\/h3>\n
 \u0907\u0938\u0915\u0947 \u092c\u093e\u0926, \u0939\u092e \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u0948\u091f\u0935\u0948\u0932\u094d\u092f\u0942()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0917\u0947:<\/span><\/p>\n
 #calculate leverage for each observation in the model\n<\/span>hats <- as<\/span> . data<\/span> . frame<\/span> (hatvalues(model))\n\n#display leverage stats for each observation\n<\/span>hats\n\n                    hatvalues(model)\nMazda RX4 0.04235795\nMazda RX4 Wag 0.04235795\nDatsun 710 0.06287776\nHornet 4 Drive 0.07614472\nHornet Sportabout 0.08097817\nValiant 0.05945972\nDuster 360 0.09828955\nMerc 240D 0.08816960\nMerc 230 0.05102253\nMerc 280 0.03990060\nMerc 280C 0.03990060\nMerc 450SE 0.03890159\nMerc 450SL 0.03890159\nMerc 450SLC 0.03890159\nCadillac Fleetwood 0.19443875\nLincoln Continental 0.16042361\nChrysler Imperial 0.12447530\nFiat 128 0.08346304\nHonda Civic 0.09493784\nToyota Corolla 0.08732818\nToyota Corona 0.05697867\nDodge Challenger 0.06954069\nAMC Javelin 0.05767659\nCamaro Z28 0.10011654\nPontiac Firebird 0.12979822\nFiat X1-9 0.08334018\nPorsche 914-2 0.05785170\nLotus Europa 0.08193899\nFord Pantera L 0.13831817\nFerrari Dino 0.12608583\nMaserati Bora 0.49663919\nVolvo 142E 0.05848459\n<\/strong><\/pre>\n
 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930, \u0939\u092e 2 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0932\u0940\u0935\u0930\u0947\u091c \u092e\u093e\u0928 \u0935\u093e\u0932\u0947 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u092a\u0930 \u0915\u0930\u0940\u092c \u0938\u0947 \u0928\u091c\u093c\u0930 \u0921\u093e\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n
 \u0910\u0938\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u090f\u0915 \u0938\u0930\u0932 \u0924\u0930\u0940\u0915\u093e \u092f\u0939 \u0939\u0948 \u0915\u093f \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u094b \u0909\u0928\u0915\u0947 \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u092e\u0942\u0932\u094d\u092f \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u0905\u0935\u0930\u094b\u0939\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u0915\u093f\u092f\u093e \u091c\u093e\u090f:<\/span><\/p>\n
 #sort observations by leverage, descending<\/span>\nhats[ order<\/span> (-hats[' hatvalues(model)<\/span> ']), ]\n\n [1] 0.49663919 0.19443875 0.16042361 0.13831817 0.12979822 0.12608583\n [7] 0.12447530 0.10011654 0.09828955 0.09493784 0.08816960 0.08732818\n[13] 0.08346304 0.08334018 0.08193899 0.08097817 0.07614472 0.06954069\n[19] 0.06287776 0.05945972 0.05848459 0.05785170 0.05767659 0.05697867\n[25] 0.05102253 0.04235795 0.04235795 0.03990060 0.03990060 0.03890159\n[31] 0.03890159 0.03890159\n<\/strong><\/pre>\n
 \u0939\u092e \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0909\u091a\u094d\u091a\u0924\u092e \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u092e\u093e\u0928 0.4966<\/strong> \u0939\u0948\u0964 \u091a\u0942\u0901\u0915\u093f \u092f\u0939 \u0938\u0902\u0916\u094d\u092f\u093e 2 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0939\u092e \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0939\u092e\u093e\u0930\u0947 \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u093e \u0905\u0927\u093f\u0915 \u0932\u093e\u092d \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/span><\/p>\n
 \u091a\u0930\u0923 3: \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0915\u0940 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0947\u0902<\/strong><\/span><\/h3>\n
 \u0905\u0902\u0924 \u092e\u0947\u0902, \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0915\u0940 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0924\u094d\u0935\u0930\u093f\u0924 \u091a\u093e\u0930\u094d\u091f \u092c\u0928\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span> <\/p>\n
 #plot leverage values for each observation<\/span>\nplot(hatvalues(model), type = ' h<\/span> ')\n<\/strong><\/pre>\n
\"\u0906\u0930<\/p>\n
 x-\u0905\u0915\u094d\u0937 \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0938\u0942\u091a\u0915\u093e\u0902\u0915 \u0915\u094b \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 y-\u092e\u093e\u0928 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0906\u0901\u0915\u0921\u093c\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n
 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0938\u0902\u0938\u093e\u0927\u0928<\/strong><\/span><\/h3>\n
 \u0906\u0930 \u092e\u0947\u0902 \u0938\u0930\u0932 \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a>
 \u0906\u0930 \u092e\u0947\u0902 \u092e\u0932\u094d\u091f\u0940\u092a\u0932 \u0932\u0940\u0928\u093f\u092f\u0930 \u0930\u093f\u0917\u094d\u0930\u0947\u0936\u0928 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a>
 \u0906\u0930 \u092e\u0947\u0902 \u0905\u0935\u0936\u093f\u0937\u094d\u091f \u092a\u094d\u0932\u0949\u091f \u0915\u0948\u0938\u0947 \u092c\u0928\u093e\u090f\u0902<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
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\u092d\u0935\u093f\u0937\u094d\u092f\u0935\u0915\u094d\u0924\u093e \u091a\u0930 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092f\u093e \u0905\u0927\u093f\u0915 \u092e\u093e\u0928 \u0939\u0948\u0902 \u091c\u094b \u0921\u0947\u091f\u093e\u0938\u0947\u091f \u092e\u0947\u0902 \u092c\u093e\u0915\u0940 \u0905\u0935\u0932\u094b\u0915\u0928\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1273","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"\n\u0906\u0930 \u092e\u0947\u0902 \u0909\u0924\u094d\u0924\u094b\u0932\u0928 \u0906\u0901\u0915\u0921\u093c\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/title>\n<meta name=\"description\" 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