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Homework 09 - Solution

Homework 09 - Solution - a n-kX V Y h ='5 t I 2 Y13 =,a5...

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a n, -- V, h, = '5 kX Y \ , + tI2 + Y13 = 15 @ - - , a 5 Gumup ' No brch~fast Liqht bmk%~t %I\ bw~k%s? I 1 8 I4 10 7 \b I 2 4 \ 2- I \o i 5 .I1 47 1s 0 . - I -I- I . #I\ J.,._. . - Coiuwlvl704-d I-; 4q "ro 7;"/n; - 4 ~ 1 .0 C, 98 0 3 ls; Yb% \O 0 b 5

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3.11 a The first variable (x) is the first number in the pair and is plotted on the horizontal axis, while the second variable is the second number in the pair and is plotted on the vertical axis. The scatterplot is shown in the figure below. I b There appears to be a positive relationship between x and y; that is, as x increases, so does y. c Use your scientific calculator to calculate the sums, sums of square sand sum of cross products for the pairs (x,,y,) Cx, =19; Cy, =37; Cx: =71; Cy: =237; Cx,y, =I26 Then the covariance is ( C ~ I ) ( ~ Y I ) (19)37 C X,Y, - 126-- S = n - *Y = 1.76667 n-1 5 and the sample standard deviations are Cx, -- 71-y (l9I2 s, = ti = 1.472 and sy = = 1.329 n -1 The correlation coefficient is 3 The slope and y-intercept of the regression line are S b = r r = 0.902986 = 0.81526 and a = sx and the equation of the regression line is y = 3.58 + 0.815~ .

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