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Unformatted text preview: &¡¢£¢ ¤¥ ¦§¨©ª§«¬ ¡§®¯°±§²³ 2.46. a. The first variable ( X ) is the first number in the pair and is plotted on the horizontal axis, while the second variable ( Y ) is the second number in the pair and is plotted on the vertical axis. The scatterplot is shown in the figure below: b. There appears to be a positive relationship between X and Y ; that is, as X increases, so does Y . 2.48. ab. The scatterplot is shown in the figure below. Notice that there is a negative relationship between X and Y . 11.3. Two points are needed to graph a straight line. When x=0, y=2. When x=1, y=1/2. The graph is shown below. 11.22. a. From the MINITAB printout, 1 ˆ β =.4736 and ˆ β =63.86, so that the least squares line is . 4736 . 86 . 63 ˆ ˆ ˆ 1 x x y + = + = β β Note that in the lecture notes, we use the notation α for the intercept and β for the slope coefficient. The graph of the leastsquares line and the ten data points is shown below. In order to test for linear relationship between X and Y , we test the hypothesis H : ˆ 1 = β H a : ˆ 1 ≠ β and the test statistic is 75 . ˆ 1 1 = = xx S s t β β The pvalue is 2P (t > 0.75) = 0.475 which we can see in the MINITAB output. Since the observed level of significance is so large, H is not rejected. We cannot conclude that X and Y are linearly related (since β might be zero)....
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This note was uploaded on 10/02/2009 for the course PSTAT 5E taught by Professor Eduardomontoya during the Spring '08 term at UCSB.
 Spring '08
 EduardoMontoya

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