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<Title>XY: Correlation</Title>
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<WebLink Flags="0" ToolTip="@help:STAT_Key_concepts_Correlation" URL="@help:STAT_Key_concepts_Correlation">
Learn more about correlation
</WebLink>

<B><Font Size="11" Face="Verdana">
How the data are organized
</Font></B>
<Font Size="11" Face="Verdana">
<BR/>Each row represents a different day. The X column is for ozone level. The Y columns are for solar radiation, wind and temperature. 
</Font>
<B><Font Size="11" Face="Verdana">
<BR/><BR/>The goal
</Font></B>
<Font Size="11" Face="Verdana">
<BR/>To learn how the three weather variables are correlated with ozone level.
</Font>
<B><Font Size="11" Face="Verdana">
<BR/><BR/>How to analyze the data to find a correlation matrix
</Font></B>
<Font Size="11" Face="Verdana">
<BR/>Click Analyze, and choose Correlation from the list of XY analyses.  Accept all the default choices.
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Correlation vs. regression
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Why doesn't correlation plot a line?
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<WebLink Flags="0" ToolTip="http://faculty.washington.edu/~heagerty/Books/Biostatistics/index-data.html" URL="http://faculty.washington.edu/~heagerty/Books/Biostatistics/index-data.html">
Data source
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Where do these data come from?
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<Title>Ozone</Title>
<Subcolumn>
<d>41</d>
<d>36</d>
<d>12</d>
<d>18</d>
<d/>
<d>28</d>
<d>23</d>
<d>19</d>
<d>8</d>
<d/>
<d>7</d>
<d>16</d>
<d>11</d>
<d>14</d>
<d>18</d>
<d>14</d>
<d>34</d>
<d>6</d>
<d>30</d>
<d>11</d>
<d>1</d>
<d>11</d>
<d>4</d>
<d>32</d>
<d/>
<d/>
<d/>
<d>23</d>
<d>45</d>
<d>115</d>
<d>37</d>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d>29</d>
<d/>
<d>71</d>
<d>39</d>
<d/>
<d/>
<d>23</d>
<d/>
<d/>
<d>21</d>
<d>37</d>
<d>20</d>
<d>12</d>
<d>13</d>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d/>
<d>135</d>
<d>49</d>
<d>32</d>
<d/>
<d>64</d>
<d>40</d>
<d>77</d>
<d>97</d>
<d>97</d>
<d>85</d>
<d/>
<d>10</d>
<d>27</d>
<d/>
<d>7</d>
<d>48</d>
<d>35</d>
<d>61</d>
<d>79</d>
<d>63</d>
<d>16</d>
<d/>
<d/>
<d>80</d>
<d>108</d>
<d>20</d>
<d>52</d>
<d>82</d>
<d>50</d>
<d>64</d>
<d>59</d>
<d>39</d>
<d>9</d>
<d>16</d>
<d>78</d>
<d>35</d>
<d>66</d>
<d>122</d>
<d>89</d>
<d>110</d>
<d/>
<d/>
<d>44</d>
<d>28</d>
<d>65</d>
<d/>
<d>22</d>
<d>59</d>
<d>23</d>
<d>31</d>
<d>44</d>
<d>21</d>
<d>9</d>
<d/>
<d>45</d>
<d>168</d>
<d>73</d>
<d/>
<d>76</d>
<d>118</d>
<d>84</d>
<d>85</d>
<d>96</d>
<d>78</d>
<d>73</d>
<d>91</d>
<d>47</d>
<d>32</d>
<d>20</d>
<d>23</d>
<d>21</d>
<d>24</d>
<d>44</d>
<d>21</d>
<d>28</d>
<d>9</d>
<d>13</d>
<d>46</d>
<d>18</d>
<d>13</d>
<d>24</d>
<d>16</d>
<d>13</d>
<d>23</d>
<d>36</d>
<d>7</d>
<d>14</d>
<d>30</d>
<d/>
<d>14</d>
<d>18</d>
<d>20</d>
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<Title>Solar.R</Title>
<Subcolumn>
<d>190</d>
<d>118</d>
<d>149</d>
<d>313</d>
<d/>
<d/>
<d>299</d>
<d>99</d>
<d>19</d>
<d>194</d>
<d/>
<d>256</d>
<d>290</d>
<d>274</d>
<d>65</d>
<d>334</d>
<d>307</d>
<d>78</d>
<d>322</d>
<d>44</d>
<d>8</d>
<d>320</d>
<d>25</d>
<d>92</d>
<d>66</d>
<d>266</d>
<d/>
<d>13</d>
<d>252</d>
<d>223</d>
<d>279</d>
<d>286</d>
<d>287</d>
<d>242</d>
<d>186</d>
<d>220</d>
<d>264</d>
<d>127</d>
<d>273</d>
<d>291</d>
<d>323</d>
<d>259</d>
<d>250</d>
<d>148</d>
<d>332</d>
<d>322</d>
<d>191</d>
<d>284</d>
<d>37</d>
<d>120</d>
<d>137</d>
<d>150</d>
<d>59</d>
<d>91</d>
<d>250</d>
<d>135</d>
<d>127</d>
<d>47</d>
<d>98</d>
<d>31</d>
<d>138</d>
<d>269</d>
<d>248</d>
<d>236</d>
<d>101</d>
<d>175</d>
<d>314</d>
<d>276</d>
<d>267</d>
<d>272</d>
<d>175</d>
<d>139</d>
<d>264</d>
<d>175</d>
<d>291</d>
<d>48</d>
<d>260</d>
<d>274</d>
<d>285</d>
<d>187</d>
<d>220</d>
<d>7</d>
<d>258</d>
<d>295</d>
<d>294</d>
<d>223</d>
<d>81</d>
<d>82</d>
<d>213</d>
<d>275</d>
<d>253</d>
<d>254</d>
<d>83</d>
<d>24</d>
<d>77</d>
<d/>
<d/>
<d/>
<d>255</d>
<d>229</d>
<d>207</d>
<d>222</d>
<d>137</d>
<d>192</d>
<d>273</d>
<d>157</d>
<d>64</d>
<d>71</d>
<d>51</d>
<d>115</d>
<d>244</d>
<d>190</d>
<d>259</d>
<d>36</d>
<d>255</d>
<d>212</d>
<d>238</d>
<d>215</d>
<d>153</d>
<d>203</d>
<d>225</d>
<d>237</d>
<d>188</d>
<d>167</d>
<d>197</d>
<d>183</d>
<d>189</d>
<d>95</d>
<d>92</d>
<d>252</d>
<d>220</d>
<d>230</d>
<d>259</d>
<d>236</d>
<d>259</d>
<d>238</d>
<d>24</d>
<d>112</d>
<d>237</d>
<d>224</d>
<d>27</d>
<d>238</d>
<d>201</d>
<d>238</d>
<d>14</d>
<d>139</d>
<d>49</d>
<d>20</d>
<d>193</d>
<d>145</d>
<d>191</d>
<d>131</d>
<d>223</d>
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<Title>Wind</Title>
<Subcolumn>
<d>7,4</d>
<d>8</d>
<d>12,6</d>
<d>11,5</d>
<d>14,3</d>
<d>14,9</d>
<d>8,6</d>
<d>13,8</d>
<d>20,1</d>
<d>8,6</d>
<d>6,9</d>
<d>9,7</d>
<d>9,2</d>
<d>10,9</d>
<d>13,2</d>
<d>11,5</d>
<d>12</d>
<d>18,4</d>
<d>11,5</d>
<d>9,7</d>
<d>9,7</d>
<d>16,6</d>
<d>9,7</d>
<d>12</d>
<d>16,6</d>
<d>14,9</d>
<d>8</d>
<d>12</d>
<d>14,9</d>
<d>5,7</d>
<d>7,4</d>
<d>8,6</d>
<d>9,7</d>
<d>16,1</d>
<d>9,2</d>
<d>8,6</d>
<d>14,3</d>
<d>9,7</d>
<d>6,9</d>
<d>13,8</d>
<d>11,5</d>
<d>10,9</d>
<d>9,2</d>
<d>8</d>
<d>13,8</d>
<d>11,5</d>
<d>14,9</d>
<d>20,7</d>
<d>9,2</d>
<d>11,5</d>
<d>10,3</d>
<d>6,3</d>
<d>1,7</d>
<d>4,6</d>
<d>6,3</d>
<d>8</d>
<d>8</d>
<d>10,3</d>
<d>11,5</d>
<d>14,9</d>
<d>8</d>
<d>4,1</d>
<d>9,2</d>
<d>9,2</d>
<d>10,9</d>
<d>4,6</d>
<d>10,9</d>
<d>5,1</d>
<d>6,3</d>
<d>5,7</d>
<d>7,4</d>
<d>8,6</d>
<d>14,3</d>
<d>14,9</d>
<d>14,9</d>
<d>14,3</d>
<d>6,9</d>
<d>10,3</d>
<d>6,3</d>
<d>5,1</d>
<d>11,5</d>
<d>6,9</d>
<d>9,7</d>
<d>11,5</d>
<d>8,6</d>
<d>8</d>
<d>8,6</d>
<d>12</d>
<d>7,4</d>
<d>7,4</d>
<d>7,4</d>
<d>9,2</d>
<d>6,9</d>
<d>13,8</d>
<d>7,4</d>
<d>6,9</d>
<d>7,4</d>
<d>4,6</d>
<d>4</d>
<d>10,3</d>
<d>8</d>
<d>8,6</d>
<d>11,5</d>
<d>11,5</d>
<d>11,5</d>
<d>9,7</d>
<d>11,5</d>
<d>10,3</d>
<d>6,3</d>
<d>7,4</d>
<d>10,9</d>
<d>10,3</d>
<d>15,5</d>
<d>14,3</d>
<d>12,6</d>
<d>9,7</d>
<d>3,4</d>
<d>8</d>
<d>5,7</d>
<d>9,7</d>
<d>2,3</d>
<d>6,3</d>
<d>6,3</d>
<d>6,9</d>
<d>5,1</d>
<d>2,8</d>
<d>4,6</d>
<d>7,4</d>
<d>15,5</d>
<d>10,9</d>
<d>10,3</d>
<d>10,9</d>
<d>9,7</d>
<d>14,9</d>
<d>15,5</d>
<d>6,3</d>
<d>10,9</d>
<d>11,5</d>
<d>6,9</d>
<d>13,8</d>
<d>10,3</d>
<d>10,3</d>
<d>8</d>
<d>12,6</d>
<d>9,2</d>
<d>10,3</d>
<d>10,3</d>
<d>16,6</d>
<d>6,9</d>
<d>13,2</d>
<d>14,3</d>
<d>8</d>
<d>11,5</d>
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<Title>Temp</Title>
<Subcolumn>
<d>67</d>
<d>72</d>
<d>74</d>
<d>62</d>
<d>56</d>
<d>66</d>
<d>65</d>
<d>59</d>
<d>61</d>
<d>69</d>
<d>74</d>
<d>69</d>
<d>66</d>
<d>68</d>
<d>58</d>
<d>64</d>
<d>66</d>
<d>57</d>
<d>68</d>
<d>62</d>
<d>59</d>
<d>73</d>
<d>61</d>
<d>61</d>
<d>57</d>
<d>58</d>
<d>57</d>
<d>67</d>
<d>81</d>
<d>79</d>
<d>76</d>
<d>78</d>
<d>74</d>
<d>67</d>
<d>84</d>
<d>85</d>
<d>79</d>
<d>82</d>
<d>87</d>
<d>90</d>
<d>87</d>
<d>93</d>
<d>92</d>
<d>82</d>
<d>80</d>
<d>79</d>
<d>77</d>
<d>72</d>
<d>65</d>
<d>73</d>
<d>76</d>
<d>77</d>
<d>76</d>
<d>76</d>
<d>76</d>
<d>75</d>
<d>78</d>
<d>73</d>
<d>80</d>
<d>77</d>
<d>83</d>
<d>84</d>
<d>85</d>
<d>81</d>
<d>84</d>
<d>83</d>
<d>83</d>
<d>88</d>
<d>92</d>
<d>92</d>
<d>89</d>
<d>82</d>
<d>73</d>
<d>81</d>
<d>91</d>
<d>80</d>
<d>81</d>
<d>82</d>
<d>84</d>
<d>87</d>
<d>85</d>
<d>74</d>
<d>81</d>
<d>82</d>
<d>86</d>
<d>85</d>
<d>82</d>
<d>86</d>
<d>88</d>
<d>86</d>
<d>83</d>
<d>81</d>
<d>81</d>
<d>81</d>
<d>82</d>
<d>86</d>
<d>85</d>
<d>87</d>
<d>89</d>
<d>90</d>
<d>90</d>
<d>92</d>
<d>86</d>
<d>86</d>
<d>82</d>
<d>80</d>
<d>79</d>
<d>77</d>
<d>79</d>
<d>76</d>
<d>78</d>
<d>78</d>
<d>77</d>
<d>72</d>
<d>75</d>
<d>79</d>
<d>81</d>
<d>86</d>
<d>88</d>
<d>97</d>
<d>94</d>
<d>96</d>
<d>94</d>
<d>91</d>
<d>92</d>
<d>93</d>
<d>93</d>
<d>87</d>
<d>84</d>
<d>80</d>
<d>78</d>
<d>75</d>
<d>73</d>
<d>81</d>
<d>76</d>
<d>77</d>
<d>71</d>
<d>71</d>
<d>78</d>
<d>67</d>
<d>76</d>
<d>68</d>
<d>82</d>
<d>64</d>
<d>71</d>
<d>81</d>
<d>69</d>
<d>63</d>
<d>70</d>
<d>77</d>
<d>75</d>
<d>76</d>
<d>68</d>
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									<xsl:attribute name="rowspan">
										<xsl:if test="$isYSubcol and not($isXSubcol)">2</xsl:if>
									</xsl:attribute>
									<xsl:attribute name="colspan"><xsl:value-of select="./@Subcolumns"/></xsl:attribute>
					 
					<xsl:apply-templates select="ps:Title"/>
									<xsl:if test="count(ps:Title)=0 or ps:Title=''">X-Title</xsl:if>				
					 
				</TD>
							</xsl:for-each>
							<xsl:for-each select="ps:YColumn">
								<xsl:variable name="DefColName2" select="(position()-1) mod 26"/>
								<xsl:variable name="DefColName1" select="(position()-1-$DefColName2) div 26"/>
								<TD align="center">
									<xsl:attribute name="colspan"><xsl:value-of select="./@Subcolumns"/></xsl:attribute>
									<xsl:attribute name="rowspan">
										<xsl:if test="$isXSubcol and not($isYSubcol)">2</xsl:if>
									</xsl:attribute>
					 
					<xsl:apply-templates select="ps:Title"/>
									<xsl:if test="count(ps:Title)=0 or ps:Title=''">
										<xsl:value-of select="'Data Set-'"/>
										<xsl:if test="$DefColName1 &gt; 0">
											<xsl:value-of select="substring($Chars,$DefColName1,1)"/>
										</xsl:if>
										<xsl:value-of select="substring($Chars,$DefColName2+1,1)"/>
									</xsl:if>
					 				
	   			</TD>
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						<xsl:if test="$isXSubcol or $isYSubcol">
							<TR>
								<xsl:if test="$isXSubcol">
									<xsl:for-each select="ps:XColumn">
										<xsl:for-each select="ps:Subcolumn">
											<TD align="center"> 
					 
					<xsl:apply-templates select="ps:Title"/>
												<xsl:if test="count(ps:Title)=0 or ps:Title=''">
													<xsl:choose>
														<xsl:when test="position()=1"><B>X</B></xsl:when>
														<xsl:when test="position()=2"><B>Err.Bar</B></xsl:when>
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												</xsl:if>				
					 
				</TD>
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								<xsl:if test="$isYSubcol">
									<xsl:for-each select="ps:YColumn">
										<xsl:variable name="DefColName2" select="(position()-1) mod 26"/>
										<xsl:variable name="DefColName1" select="(position()-1-$DefColName2) div 26"/>
										<xsl:for-each select="ps:Subcolumn">
											<TD align="center">
					 
					<xsl:apply-templates select="ps:Title"/>
												<xsl:if test="count(ps:Title)=0 or ps:Title=''">
													<xsl:if test="$yFormat='replicates' or $yFormat='text'">
														<B>
															<xsl:if test="$DefColName1 &gt; 0">
																<xsl:value-of select="substring($Chars,$DefColName1,1)"/>
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															<xsl:value-of select="substring($Chars,$DefColName2+1,1)"/>:Y<xsl:value-of select="position()"/>
														</B>
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														<xsl:if test="not($yFormat='replicates' or $yFormat='text')">
															<xsl:if test="position()=1"><B>Mean</B></xsl:if>
															<xsl:if test="position()!=1">
																<xsl:choose>
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																	<xsl:when test="$yFormat='SE'">
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																	<xsl:when test="$yFormat='CV'">
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																	<xsl:when test="$yFormat='SDN'">
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																		<xsl:if test="position()=3"><B>N</B></xsl:if>
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																	<xsl:when test="$yFormat='SEN'">
																		<xsl:if test="position()=2"><B>SEM</B></xsl:if>
																		<xsl:if test="position()=3"><B>N</B></xsl:if>
																	</xsl:when>
																	<xsl:when test="$yFormat='CVN'">
																		<xsl:if test="position()=2"><B>%CV</B></xsl:if>
																		<xsl:if test="position()=3"><B>N</B></xsl:if>
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																	<xsl:when test="$yFormat='low-high'">
																		<xsl:if test="position()=2"><B>+Error</B></xsl:if>
																		<xsl:if test="position()=3"><B>-Error</B></xsl:if>
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																		<xsl:if test="position()=2"><B>UpperLimit</B></xsl:if>
																		<xsl:if test="position()=3"><B>LowerLimit</B></xsl:if>
																	</xsl:when>
																</xsl:choose>
															</xsl:if>
														</xsl:if>
													</xsl:if>
												</xsl:if>
					 				
	   			</TD>
										</xsl:for-each>
									</xsl:for-each>
								</xsl:if>
							</TR>
						</xsl:if>
						<TR>
							<xsl:for-each select="ps:RowTitlesColumn/ps:Subcolumn">
								<td valign="top" nowrap="1">
									<xsl:attribute name="width"><xsl:value-of select="$width"/>%</xsl:attribute>
									<xsl:apply-templates select="ps:d"/>
									<xsl:if test="count(ps:d)=0"><br/></xsl:if>
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							</xsl:for-each>
							<xsl:for-each select="ps:XColumn/ps:Subcolumn">
								<td valign="top" nowrap="1">
									<xsl:attribute name="width"><xsl:value-of select="$width"/>%</xsl:attribute>
									<xsl:apply-templates select="ps:d"/>
									<xsl:if test="count(ps:d)=0"><br/></xsl:if>
								</td>
							</xsl:for-each>
							<xsl:for-each select="ps:YColumn/ps:Subcolumn">
								<td valign="top" nowrap="1">
									<xsl:attribute name="width"><xsl:value-of select="$width"/>%</xsl:attribute>
									<xsl:apply-templates select="ps:d"/>
									<xsl:if test="count(ps:d)=0"><br/></xsl:if>
								</td>
							</xsl:for-each>
						</TR>
					</TABLE>
					<br/>
					<xsl:apply-templates select="ps:Info"/>
					<br/>
					<hr/>
					<br/>
				</xsl:for-each>
			</BODY>
		</HTML>
	</xsl:template>
	<!--<xsl:template match="ps:d">
	<xsl:choose>
		<xsl:when test="@Excluded and string-length(text())" >
		    <font color="#0000ee">
	      		<xsl:apply-templates select="node()"/>*		
		    </font>
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	<xsl:template match="ps:d">
		<xsl:choose>
			<xsl:when test="@Excluded and string-length(text())">
				<xsl:choose>
					<xsl:when test="../../../@EVFormat='AsteriskAfterNumber'">
						<font color="#0000ee">
							<xsl:apply-templates select="node()"/>*
						</font>
					</xsl:when>
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					<xsl:otherwise>
						<xsl:apply-templates select="node()"/>
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			<xsl:otherwise>
				<xsl:apply-templates select="node()"/>
			</xsl:otherwise>
		</xsl:choose>
		<xsl:if test="position()!=last()"><br/></xsl:if>
	</xsl:template>
	<xsl:template match="ps:Title">
		<b><xsl:apply-templates select="node()"/></b>
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	<xsl:template match="node()">
		<xsl:copy>
			<xsl:apply-templates select="node()"/>
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	<xsl:template match="ps:Font">
		<font>
			<xsl:if test="@Size">
				<xsl:attribute name="STYLE">font-size:<xsl:value-of select="@Size"/>pt</xsl:attribute>
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			<xsl:copy-of select="@*"/>
			<xsl:apply-templates select="node()"/>
		</font>
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	<xsl:template match="/">
		<HTML>
			<BODY>
				<xsl:apply-templates select="//ps:GraphPadPrismFile"/>
			</BODY>
		</HTML>
	</xsl:template>
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