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Using IBM SPSS 19 Descriptive Statistics - CBU

Using IBM SPSS 19 Descriptive Statistics - CBU

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eject the null hypothesis of b=0.<br />

We now return to the scatter plot. Double click on the plot to bring up the Chart Editor and choose Options>Y<br />

Axis Reference Line from the menu. In the window that opens, select Refernce Line and, from the dropdown<br />

menue for Set to:, choose Mean and then click Apply.<br />

Next, from the Chart Editor menu, choose Elements>Fit Line at Total. In the window that opens, with Fit<br />

Line highlighted at the top, make sure Linear is chosen for Fit Method, and Mean with 95% for Confidence<br />

Intervals. Then click Apply. You get the first graph at the top of the next page. In this graph, the horizontal<br />

line shows the mean of the y-values, 101.894. We see that the scatter about the regression line is much less than<br />

the scatter about the mean line, which is as it should be when the null hypothesis b=0 has been rejected. The<br />

bands about the regression line give the 95% confidence interval for the mean values m y|x<br />

for each x, or from another<br />

point of view, the probability is .95 that the population regression line m y|x<br />

=a+bx lies within these bands.<br />

Finally, go back to the same menu and choose Individual instead of Mean, followed again by Apply. After<br />

some editting as discussed earlier in this manual, you get the second graph on the next page. Here, for each x-<br />

value, the outer bands give the 95% confidence interval for the individual y I<br />

for each value of x.<br />

The confidence bands in the scatter plots relate to the four new columns in our data window, a portion of which is<br />

shown at the bottom of the next page. We interpret the first row of data. For x=74.5, the 95% confidence interval<br />

27

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