📄 regression.html
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<FONT color="green">146</FONT> *<a name="line.146"></a><FONT color="green">147</FONT> * @param data the data.<a name="line.147"></a><FONT color="green">148</FONT> *<a name="line.148"></a><FONT color="green">149</FONT> * @return The parameters.<a name="line.149"></a><FONT color="green">150</FONT> */<a name="line.150"></a><FONT color="green">151</FONT> public static double[] getPowerRegression(double[][] data) {<a name="line.151"></a><FONT color="green">152</FONT> <a name="line.152"></a><FONT color="green">153</FONT> int n = data.length;<a name="line.153"></a><FONT color="green">154</FONT> if (n < 2) {<a name="line.154"></a><FONT color="green">155</FONT> throw new IllegalArgumentException("Not enough data.");<a name="line.155"></a><FONT color="green">156</FONT> }<a name="line.156"></a><FONT color="green">157</FONT> <a name="line.157"></a><FONT color="green">158</FONT> double sumX = 0;<a name="line.158"></a><FONT color="green">159</FONT> double sumY = 0;<a name="line.159"></a><FONT color="green">160</FONT> double sumXX = 0;<a name="line.160"></a><FONT color="green">161</FONT> double sumXY = 0;<a name="line.161"></a><FONT color="green">162</FONT> for (int i = 0; i < n; i++) {<a name="line.162"></a><FONT color="green">163</FONT> double x = Math.log(data[i][0]);<a name="line.163"></a><FONT color="green">164</FONT> double y = Math.log(data[i][1]);<a name="line.164"></a><FONT color="green">165</FONT> sumX += x;<a name="line.165"></a><FONT color="green">166</FONT> sumY += y;<a name="line.166"></a><FONT color="green">167</FONT> double xx = x * x;<a name="line.167"></a><FONT color="green">168</FONT> sumXX += xx;<a name="line.168"></a><FONT color="green">169</FONT> double xy = x * y;<a name="line.169"></a><FONT color="green">170</FONT> sumXY += xy;<a name="line.170"></a><FONT color="green">171</FONT> }<a name="line.171"></a><FONT color="green">172</FONT> double sxx = sumXX - (sumX * sumX) / n;<a name="line.172"></a><FONT color="green">173</FONT> double sxy = sumXY - (sumX * sumY) / n;<a name="line.173"></a><FONT color="green">174</FONT> double xbar = sumX / n;<a name="line.174"></a><FONT color="green">175</FONT> double ybar = sumY / n;<a name="line.175"></a><FONT color="green">176</FONT> <a name="line.176"></a><FONT color="green">177</FONT> double[] result = new double[2];<a name="line.177"></a><FONT color="green">178</FONT> result[1] = sxy / sxx;<a name="line.178"></a><FONT color="green">179</FONT> result[0] = Math.pow(Math.exp(1.0), ybar - result[1] * xbar);<a name="line.179"></a><FONT color="green">180</FONT> <a name="line.180"></a><FONT color="green">181</FONT> return result;<a name="line.181"></a><FONT color="green">182</FONT> <a name="line.182"></a><FONT color="green">183</FONT> }<a name="line.183"></a><FONT color="green">184</FONT> <a name="line.184"></a><FONT color="green">185</FONT> /**<a name="line.185"></a><FONT color="green">186</FONT> * Returns the parameters 'a' and 'b' for an equation y = ax^b, fitted to <a name="line.186"></a><FONT color="green">187</FONT> * the data using a power regression equation. The result is returned as <a name="line.187"></a><FONT color="green">188</FONT> * an array, where double[0] --> a, and double[1] --> b.<a name="line.188"></a><FONT color="green">189</FONT> *<a name="line.189"></a><FONT color="green">190</FONT> * @param data the data.<a name="line.190"></a><FONT color="green">191</FONT> * @param series the series to fit the regression line against.<a name="line.191"></a><FONT color="green">192</FONT> *<a name="line.192"></a><FONT color="green">193</FONT> * @return The parameters.<a name="line.193"></a><FONT color="green">194</FONT> */<a name="line.194"></a><FONT color="green">195</FONT> public static double[] getPowerRegression(XYDataset data, int series) {<a name="line.195"></a><FONT color="green">196</FONT> <a name="line.196"></a><FONT color="green">197</FONT> int n = data.getItemCount(series);<a name="line.197"></a><FONT color="green">198</FONT> if (n < 2) {<a name="line.198"></a><FONT color="green">199</FONT> throw new IllegalArgumentException("Not enough data.");<a name="line.199"></a><FONT color="green">200</FONT> }<a name="line.200"></a><FONT color="green">201</FONT> <a name="line.201"></a><FONT color="green">202</FONT> double sumX = 0;<a name="line.202"></a><FONT color="green">203</FONT> double sumY = 0;<a name="line.203"></a><FONT color="green">204</FONT> double sumXX = 0;<a name="line.204"></a><FONT color="green">205</FONT> double sumXY = 0;<a name="line.205"></a><FONT color="green">206</FONT> for (int i = 0; i < n; i++) {<a name="line.206"></a><FONT color="green">207</FONT> double x = Math.log(data.getXValue(series, i));<a name="line.207"></a><FONT color="green">208</FONT> double y = Math.log(data.getYValue(series, i));<a name="line.208"></a><FONT color="green">209</FONT> sumX += x;<a name="line.209"></a><FONT color="green">210</FONT> sumY += y;<a name="line.210"></a><FONT color="green">211</FONT> double xx = x * x;<a name="line.211"></a><FONT color="green">212</FONT> sumXX += xx;<a name="line.212"></a><FONT color="green">213</FONT> double xy = x * y;<a name="line.213"></a><FONT color="green">214</FONT> sumXY += xy;<a name="line.214"></a><FONT color="green">215</FONT> }<a name="line.215"></a><FONT color="green">216</FONT> double sxx = sumXX - (sumX * sumX) / n;<a name="line.216"></a><FONT color="green">217</FONT> double sxy = sumXY - (sumX * sumY) / n;<a name="line.217"></a><FONT color="green">218</FONT> double xbar = sumX / n;<a name="line.218"></a><FONT color="green">219</FONT> double ybar = sumY / n;<a name="line.219"></a><FONT color="green">220</FONT> <a name="line.220"></a><FONT color="green">221</FONT> double[] result = new double[2];<a name="line.221"></a><FONT color="green">222</FONT> result[1] = sxy / sxx;<a name="line.222"></a><FONT color="green">223</FONT> result[0] = Math.pow(Math.exp(1.0), ybar - result[1] * xbar);<a name="line.223"></a><FONT color="green">224</FONT> <a name="line.224"></a><FONT color="green">225</FONT> return result;<a name="line.225"></a><FONT color="green">226</FONT> <a name="line.226"></a><FONT color="green">227</FONT> }<a name="line.227"></a><FONT color="green">228</FONT> <a name="line.228"></a><FONT color="green">229</FONT> }<a name="line.229"></a></PRE></BODY></HTML>
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