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Creating an interactive map in a web page

I would like to create an interactive map on my website where you can hover over a location and it will animate showing some links that are clickable and will take the client to another page displaying graphs about that location. What should I learn in order to achieve this? Thanks

I'm assuming you don't know much about web development yet, so start with some HTML tutorials (such as this, or this, or this) and Javascript tutorials (such as this, or this, or this). There's a number of ways of creating graphics on web pages (Chart.js is a great library that takes all the hard work out of it).
Then you might want to look into learning how the Google Maps API works. It's a pretty dang flexible API.

How do I make a tile in WinJS?

I'm using WinJS 4.4.3 to make a web app. And I'm trying to recreate the Start Menu/Screen. I haven't seen any tutorials on the web or even on Microsoft's website (new or former playground) that shows how to do something like this. Also, I'd like the push animation those tiles display. If there is a way to make tiles like that, is there an animation similar to that?
So in short, how do I make a tile in WinJS (web)?

I just used MetroUICSS to create the tiles. It's much easier. WinJS documentation for making web apps (not store apps) is lacking. The relevant information is hidden away. For anyone who maybe interested. Tiles in grid layout.

Generating graphs on-the-fly with JavaScript with mouseover "captions"

I am developing a backend that requires to have graphs with information associated in a javascript why. The idea is to reproduce something similar to Google Analytics/Webmaster Tools:
I also like to reproduce the "hover" caption when someone moves throw the days.
Does anybody knows if this is possible to do it with JavaScript? It's not allowed to use jQuery, so no "use jQuery" replies please.
Thank you in advance

There are loads of svg-based javascript libraries for drawing charts that support custom tooltips among other features.
My personal favourite is Highcharts which is a full-feautured stand-alone library.
The charting libraries of Dojo, ExtJS and YUI3 are also very good and support custom tooltips if you don't mind them being not standalone.
All of these libraries support at least IE7+, mobile devices and all other major browsers.
I suggest using them instead of making your own javascript code for charts. They are all amazingly customizable and unless you need a very special kind of charts these will work great for you.

Google Analytic's graphs are Flash, not JavaScript.
To draw graphs using JavaScript you can use SVG (Scalable Vector Graphics) and I suggest Raphael. Take a look at it.

Javascript chart component that can handle annotated news headlines

I am looking for a Javascript chart component that can embed news headlines directly on the chart, similar to what is available with Google Finance
I know that this is possible in Flash with e.g. Google Chart Tools (http://code.google.com/apis/visualization/documentation/gallery/annotatedtimeline.html) or amCharts (http://amcharts.com/stock/events/), but I'd prefer to avoid using Flash, because of use with iPad and iPhone.
I have also been looking at Flot (http://code.google.com/p/flot/) and Humble (http://www.humblesoftware.com/finance/index), but since these are made using the canvas element, I don't think they work well enough in IE. I know they both use excanvas to make it possible to use them in IE, but they just don't perform well enough. I have been testing them in IE 6-9 on several computers and the results simply aren't good enough for me to confident in using them.
I have been quite impressed with Highcharts (http://www.highcharts.com/demo/?example=line-time-series&theme=default) and Raphael (http://g.raphaeljs.com/), but neither of those have implemented annotated news headlines by default, so it would require a lot of work to get it done. Do you have any other suggestions on how to do this without flash and without using canvas?
Also I would be happy to see demos, if anyone has implemented a similar solution.
Thank you for your time.

One of the examples for Raphael (the original graphics library, not the graphs extension linked to in the question) looks like it may be close to what you are looking for: http://raphaeljs.com/analytics.html

It's an old question, but if somebody still finds it - you can have this with JavaScript version of amCharts: http://www.amcharts.com/stock-chart/stock-events/
Disclaimer: I am the author of amCharts.

JavaScript Charting library - Google Analytics Style

I'm searching for a Javascript library to create line charts like the ones of Google Analytics. When the mouse is over a point, a box shows you the data.
An example is at http://wikirank.com/en
No Flash or Air, only JS and client-side Canvas...
Better if Free...

Edit: If you want a free library, try Flot.
Emprise Charts is a commercial library that I've seen featured on news sites.

Another option is to use Google's visualization APIs.It's pretty easy to use, and they have a several options for displaying data. One thing to keep in mind is some of the visualizations require you to send your data to their server, though none of the canvas/svg ones have this requirement.

There's JS-Charts which looks pretty awesome.
Or, if you fancy rolling your own you can create your own charting component using this library...

As an alternative to Flot, if you are using Prototype.js as JS framework, you can use Flotr.

Dojo also has something similar, though the example shown doesn't have similar functionalities but can be implemented to behave like the one you want,
http://dojocampus.org/explorer/#Dojox_Charting_2D_Lines,%20Markers,%20No%20Axes,%20Purple%20Theme,%20Custom%20Min%20Max

Raphael.js is pretty good at making graphs with svg/vml, you have to write some custom code though, but you can make some really nice animation with it, next to that it's compatible with ie6+ (only not with android 2 browsers).