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| = Sage Interactions - Calculus = goto [:interact:interact main page] = Web applications = |
= Sage Interactions - Web applications = goto [[interact|interact main page]] <<TableOfContents>> |
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| {{{ | {{{#!sagecell |
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| attachment:stocks.png | {{attachment:stocks.png}} |
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| {{{ | {{{#!sagecell from scipy.optimize import leastsq |
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| import time current_year = time.localtime().tm_year |
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| trdf = RealField(16) @interact def mauna_loa_co2(start_date = slider(1958,2010,1,1958), end_date = slider(1958, 2010,1,2009)): |
npi = RDF(pi) @interact(layout=[['start_date'],['end_date'],['show_linear_fit','show_nonlinear_fit']]) def mauna_loa_co2(start_date = slider(1958,current_year,1,1958), end_date = slider(1958, current_year,1,current_year-1), show_linear_fit = checkbox(default=True), show_nonlinear_fit = checkbox(default=False)): |
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| sel_data = [[q[2],q[4]] for q in datalines if start_date < q[2] < end_date] | html(htmls1+htmls2) sel_data = [[q[2],q[4]] for q in datalines if start_date <= q[2] <= end_date] outplot = list_plot(sel_data, plotjoined=True, rgbcolor=(1,0,0)) if show_nonlinear_fit: def powerlaw(t,a): return sel_data[0][1] + a[0]*(t-sel_data[0][0])^(a[1]) def res_fun(a): return [q[1]-powerlaw(q[0],a) for q in sel_data] def fitcos(t,a): return a[0]*cos(t*2*npi+a[1])+a[2]*cos(t*4*npi+a[3]) def res_fun2(a): return [q[1]-fitcos(q[0],a) for q in resids] a1 = leastsq(res_fun,[1/2.4,1.3])[0] resids = [[q[0],q[1] - powerlaw(q[0],a1)] for q in sel_data] a2 = leastsq(res_fun2, [3,0,1,0])[0] r2_plot = list_plot([[q[0],powerlaw(q[0],a1)+fitcos(q[0],a2)] for q in resids], rgbcolor='green',plotjoined=True) outplot = outplot + r2_plot var('t') formula1 = '%.2f+%.2f(t - %d)^%.2f'%(sel_data[0][1],a1[0],sel_data[0][0],a1[1]) formula2 = '%.2fcos(2 pi t + %.2f)+%.2f cos(4 pi t + %.2f)'%(a2[0],a2[1],a2[2],a2[3]) html('Nonlinear fit: <br>%s<br>'%(formula1+'+'+formula2)) if show_linear_fit: slope, intercept, r, ttprob, stderr = Stat.linregress(sel_data) outplot = outplot + plot(slope*x+intercept,start_date,end_date) html('Linear regression slope: %.2f ppm/year; correlation coefficient: %.2f'%(slope,r)) var('x,y') |
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| slope, intercept, r, ttprob, stderr = Stat.linregress(sel_data) html(htmls1+htmls2+'<h4>Linear regression slope: ' + str(trdf(slope)) + ' ppm/year; correlation coefficient: ' + str(trdf(r)) + '</h4>') var('x,y') show(list_plot(sel_data, plotjoined=True, rgbcolor=(1,0,0)) + plot(slope*x+intercept,start_date,end_date), xmin = start_date, ymin = c_min-2, axes = True, xmax = end_date, ymax = c_max+3, frame = False) }}} attachment:co2c.png |
show(outplot, xmin = start_date, ymin = c_min-2, axes = True, xmax = end_date, ymax = c_max+3, frame = False) }}} {{attachment:co2c.png}} == Arctic sea ice extent data plot, fetched from NSIDC == by Marshall Hampton {{{#!sagecell import urllib2, csv months = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'] longmonths = ['January','February','March','April','May','June','July','August','September','October','November','December'] @interact def iceplotter(month = selector(zip(range(1,13),longmonths),default = (4, 'April'),label="Month")): month_str = months[month-1] + '/N_%02d_area.txt'%(month) dialect=csv.excel dialect.skipinitialspace = True icedata_f = urllib2.urlopen('ftp://sidads.colorado.edu/DATASETS/NOAA/G02135/%s'%month_str) cr = csv.reader(icedata_f,delimiter=' ', dialect=dialect) icedata = list(cr) icedata = [x for x in icedata[1:] if len(x)==6 and N(x[5])>0] lp = list_plot([[N(x[0]),N(x[4])] for x in icedata]) def lin_regress(xdata, ydata): xmean = N(mean(xdata)) ymean = N(mean(ydata)) xm = vector(RDF,[q-xmean for q in xdata]) ym = vector(RDF,[q-ymean for q in ydata]) xy = xm.inner_product(ym) xx = xm.inner_product(xm) slope = xy/xx intercept = ymean - slope*xmean return slope, intercept years = [N(x[0]) for x in icedata] ice = [N(x[4]) for x in icedata] slope, inter = lin_regress(years,ice) reg = plot(lambda x:slope*x+inter,(min(years),max(years))) html('<h3>Extent of Arctic sea ice coverage in %s, %d - %d</h3>'%(longmonths[month-1],min(years),max(years))) html('Data from the <a href="http://nsidc.org/">National Snow and Ice Data Center</a>') show(lp+reg, figsize = [7,4]) }}} {{attachment:seaice.png}} |
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| {{{ | {{{#!sagecell |
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| attachment:interact_with_google_chart_api.png | {{attachment:interact_with_google_chart_api.png}} |
Sage Interactions - Web applications
goto interact main page
Contents
Stock Market data, fetched from Yahoo and Google
by William Stein
CO2 data plot, fetched from NOAA
by Marshall Hampton
While support for R is rapidly improving, scipy.stats has a lot of useful stuff too. This only scratches the surface.
Arctic sea ice extent data plot, fetched from NSIDC
by Marshall Hampton
Pie Chart from the Google Chart API
by Harald Schilly
