Re: Difference Fit vs. Correlation

• To: mathgroup at smc.vnet.net
• Subject: [mg96825] Re: Difference Fit vs. Correlation
• From: dh <dh at metrohm.com>
• Date: Wed, 25 Feb 2009 04:08:31 -0500 (EST)
• References: <go0j8u\$n53\$1@smc.vnet.net>

```
Hi Claus,

you are confusing two different things.

The correlation coefficient is not the slope of the regression line. The

correlation tells you how much the points are "scattered" around the line.

hope this helps, Daniel

Claus wrote:

> Hi,

> in the code below, using Correlation I get 0.501338, using Fit I get

> 0.514093.

> How come?

>

> Claus

>

>

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>

> In[60]:= lm = LinearModelFit[GaltonDat, {1, x}, x]

>

> Out[60]= FittedModel[\!\(\*

> PanelBox[

> TagBox[

> RowBox[{"33.88660435407788`", " ", "+",

> RowBox[{"0.5140930386233082`", " ", "x"}]}],

> Short],

> FrameMargins->5]\)]

>

> In[62]:= lm["BestFit"]

>

> Out[62]= 33.8866 + 0.514093 x

>

> In[63]:= r2 = Correlation[GaltonX, GaltonY]

>

> Out[63]= 0.501338

>

```

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