Jonah Williams jonahwilliams

A kernel is any smooth function K such that K(x) >= 0 and $\int K(x)dx = 1$, $\int xK(x)dx = 0$, and $\theta^2_K = \int x^2K(x)dx \geq 0$.

The boxcar kernel is 0 across the domain of X, except for at a specified distance from x. We can use the boxcar kernel to take local averages for nonparametric estimation. Here the bandwidth parameter controls the specified distance. As $bandwidth \rightarrow \infty$, $K(x) \rightarrow mean(x)$.

Year	State	Total Population	Total Citizen	Total Registered	Total Voted	Hispanic Population	Hispanic Citizen	Hispanic Registered	Hispanic Voted	Percent Hispanic Population	Percent Hispanic Registered	Percent Hispanic Voted
2012	Alabama	3594	3479	2556	2154	107	35	12	0	2%	0%	0%
2012	Alaska	516	495	361	289	23	18	10	7	4%	2%	2%
2012	Arizona	4863	4314	2812	2412	1396	989	516	400	28%	18%	16%
2012	Arkansas	2198	2109	1376	1124	143	73	16	14	6%	1%	1%
2012	California	28357	23419	15356	13462	9935	6510	3684	3157	35%	23%	23%
2012	Colorado	3817	3544	2635	2495	681	497	284	259	17%	10%	10%
2012	Connecticut	2726	2499	1760	1568	292	220	127	103	10%	7%	6%
2012	Delaware	693	641	470	431	56	24	11	10	8%	2%	2%
2012	District Of Columbia	517	461	385	350	48	19	14	13	9%	3%	3%

	Year State TotalPopulation TotalCitizen TotalRegistered TotalVoted HispanicPopulation HispanicCitizen HispanicRegistered HispanicVoted PercentHispanicPopulation PercentHispanicRegistered PercentHispanicVoted
	2012 ALABAMA 3594.0 3479.0 2556.0 2154.0 107.0 35.0 12.0 0.0 0.029771841958820256 0.004694835680751174 0.0
	2012 ALASKA 516.0 495.0 361.0 289.0 23.0 18.0 10.0 7.0 0.044573643410852716 0.027700831024930747 0.02422145328719723
	2012 ARIZONA 4863.0 4314.0 2812.0 2412.0 1396.0 989.0 516.0 400.0 0.2870655973678799 0.18349928876244664 0.16583747927031509
	2012 ARKANSAS 2198.0 2109.0 1376.0 1124.0 143.0 73.0 16.0 14.0 0.06505914467697907 0.011627906976744186 0.012455516014234875
	2012 CALIFORNIA 28357.0 23419.0 15356.0 13462.0 9935.0 6510.0 3684.0 3157.0 0.35035440984589344 0.23990622557957803 0.2345119595899569
	2012 COLORADO 3817.0 3544.0 2635.0 2495.0 681.0 497.0 284.0 259.0 0.17841236573225047 0.10777988614800758 0.10380761523046092
	2012 CONNECTICUT 2726.0 2499.0 1760.0 1568.0 292.0 220.0 127.0 103.0 0.1071166544

	function LinearRegression(data){
	var X = [],
	y = [];
	for (var i = 0; i < data.length; i ++){
	var tempX = [];
	for(var j = 0; j < data[0]['x'].length; j++){
	tempX.push(data[i]['x'][j]);
	}
	X.push(tempX);
	y.push([data[i].y]);

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