hws8 - & 2.46. a. The first variable ( X ) is...

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Unformatted text preview: & 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. a-b. 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 =.4736 and =63.86, so that the least squares line is . 4736 . 86 . 63 1 x x y + = + = Note that in the lecture notes, we use the notation for the intercept and for the slope coefficient. The graph of the least-squares 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 : 1 = H a : 1 and the test statistic is 75 . 1 1 =- = xx S s t The p-value 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 might be zero)....
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hws8 - & 2.46. a. The first variable ( X ) is...

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