HW10 - Solution to HW10: ^ 11-18 0 ^ ^ ^ + 1 x = ( y - 1 x...

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Solution to HW10: 11-18 y x x y x = + = + 1 1 1 0 ˆ ) ˆ ( ˆ ˆ β 11-19 a) The slopes of both regression models will be the same, but the intercept will be shifted. b) x y 9618 . 36 41 . 2132 ˆ = 9618 . 36 ˆ 39 . 2625 ˆ 1 0 = = vs. 9618 . 36 ˆ 41 . 2132 ˆ 1 0 = = Problem 3. Let x denote the 2000 populations and y denote the 2010 populations. a) 975 . 12 = x , 65 . 14 = y , 05 . 877 = i i y x and = 85 . 795 2 i x , so 0.953184 975 . 12 4 / 85 . 795 65 . 14 975 . 12 4 / 05 . 877 / / 2 2 2 1 = × = = x n x y x n y x i i i ) 2.28244 975 . 12 953184 . 0 65 . 14 ˆ 1 0 = × = = x y ) b) = = 0.2991274 ) ˆ ( 2 i i y y SSE c) 14.19724 5 . 12 953184 . 0 28244 . 2 ˆ ˆ ˆ 1 0 = × + = + = x y For the 32.5 population: the data does not describe what will happen if the population exceeds 20.7. We can use the estimated number: 33.26092 5 . 32 953184 . 0 28244 . 2 ˆ ˆ ˆ 1 0 = × + = + = x y with extreme caution and use other means to better estimate the population. Problem 4: a) x x y 1.06632 2492.69175 ˆ ˆ ˆ 1 0 + = + = b) 0 : 0 : 1 1 0 = a H H From the SAS output, t-value = 3.69 with α = < = 05 . 0 0102 . 0 value p . We reject the null hypothesis and conclude that the new enrollment is helpful in predicting the number of people taking math.
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This note was uploaded on 05/05/2010 for the course STAT 601 taught by Professor Wherly during the Spring '08 term at Texas A&M.

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HW10 - Solution to HW10: ^ 11-18 0 ^ ^ ^ + 1 x = ( y - 1 x...

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