August 2003  Vol. 5, No. 8 


Quality Quiz from Professor Cleary Congratulations!


Ben N. Jayle actually hit the right answer. His motive may have been
to do anything to support the need for air conditioning, but in any
case, he was right about the t value.
In the
chart, it is clear that the regression line is y =13.44 + 1.66x, with a
t value of 8.97. The standard procedure is to set up a
hypothesis that there is no relationship between x and y. If that
hypothesis is rejected, this means that x and y are indeed related.
The t statistic is used to determine whether there is a
significant relationship between x and y. The ratio is: B_{1}b_{1} B_{1}= hypothesis value for b_{1}, typically = 0 b_{1}= calculated value for the regression coefficient S_{b1}= the error associated with determining the value for b Thus, a large value for t suggests that there is little error in calculating b, so one can safely assume that x and y are related. While air conditioning may not represent the next step in Ben N. Jayle's area, at least the statistical analysis suggests that high temperatures are not good for locks. Ben loves to be right. 


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