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

This preview shows pages 1–2. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 3

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online