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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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- Spring '08
- SENTURK,DAMLA
- Regression Analysis