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You can just replace the jQuery functions in the question you linked to by their Javascript equivalents.
1.
var ctx = jQuery("#LineChart").get(0).getContext("2d");
becomes
var ctx = document.getElementById("LineChart").getContext("2d");
2.
SPOn = jQuery('.sp').hasClass('enabled'); NCOn = jQuery('.nc').hasClass('enabled'); SPAOn = jQuery('.sp-avg').hasClass('enabled'); NCAOn = jQuery('.nc-avg').hasClass('enabled');
becomes
SPOn = document.getElementsByClassName('sp')[0].className.indexOf('enabled') != -1;
NCOn = document.getElementsByClassName('nc')[0].className.indexOf('enabled') != -1;
SPAOn = document.getElementsByClassName('sp-avg')[0].className.indexOf('enabled') != -1;
NCAOn = document.getElementsByClassName('nc-avg')[0].className.indexOf('enabled') != -1;
3.
jQuery(document).ready(function() {
becomes a javascript block before the end of the tag (there are other ways to do it, but this seemed the easiest to demonstrate)
4.
jQuery('.chart-toggles a').click(function() {
becomes
function toggleLine(t) {
and
<a class="sp enabled" onclick="toggleLine(this)">Toggle SP</a>
<a class="nc enabled" onclick="toggleLine(this)">Toggle NC</a>
<a class="nc-avg enabled" onclick="toggleLine(this)">Toggle NC Avg</a>
<a class="sp-avg enabled" onclick="toggleLine(this)">Toggle SP Avg</a>
5.
jQuery(this).toggleClass('enabled');
becomes
if (t.className.indexOf('enabled') == -1)
t.className += ' enabled'
else
t.className = t.className.replace('enabled', '');
Fiddle with no jQuery – http://jsfiddle.net/htc4gyu5/
Notice that I’ve moved everything to the HTML block – that’s mainly for #3 in the above list.