STAT 462 - HW 1 Solution Key - STAT 462 Spring 2008...

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Unformatted text preview: STAT 462, Spring 2008 Homework Solution 1 Due: February 1, 2008 i’repareci by: Esra Kurum PROBLEMS FROM THE TEXTBOOK 1.2 Y = 307i} »{~ 23.3%” Functional Relationship 1-4 Vi = fie '9' £in ‘9‘ 5: {it} The difference in Y values for the same X value is illustrated by e;(random error) in the regression model (i .1) 1.5 Disagree, ‘ Since 1’} = fig ‘il‘ fiLXE ‘i‘ 5i {1411 and according to this model, strum Eire -{'- era; + n1 where eta-g} = s , so sire: in i we ‘ 1.6 (a) if: (b) gig is the Y intercept of the regression line, since the scope ofthe modei includes X=0, {35 gives the mean of the probability distribution of Y at XWO - . fit is the slope of the regression iine. 1.8 33?ij wiil stiil be the same since EGG} m 935 + 3.16%5-3- W 113‘} but value of F} depends on the value of e; of the new observation so it may change. 1.29 The y—interoept for this regression is zero, so the regression function wouid plot as a iine through the origin with slope be 1.39 The slope for this regression is zero, so the regression function would be a horizontal line at a height 0f bu 1-1 W STAT 462, Spring 2008 Homework Soiution E Due: February 1, 2008 Prepared by: Esra Kurum 1.33 Minimize Q ex ea. _ __ I . __ -- a a 1? "Efi§"£_m‘§m} infra fl 'fi‘mfi. £— -- —gz€?} —— fig} 2 Q ~ ’%;' . ”“ Ee- ____ Lififlfikl fl w; _ 2m.) 1.34 Big] $1397 3 = _.;.~;,,E..____ = (so. where am}: 5.; 1’! PROBLEMS FROM FIRST LAB NOTES CS No, there wouid be no error in max speed limit in each country. That woulci be well documented. D5 Vary a lot. ' Regression Piot Y m “0.535979 + 0.0789418 x s = 0.836621 R—Sq = 34.5 % R—Sq(ad}) = 26.3 % 3 m . _1 i... r} 55 65 ' 75' X STAT 462, Spring 2008 Homework Solution 1 Due: February 1, 2008 Prepared by: Esra Kurum E4 Little. Regressron Plot Stride = ~21.9153 + 12.4306 speed s u 0.112840 R—Sq m 99.8 % R—SCKaGE) a 991.8 % 22 21 20 g‘ E "9 _ an. 128 17 ’16 305 3.15 3.25 31.35 345 3.55 speed 1~3 ...
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