!@: [. lt is necessary to show all your work, Unsupported answer may not receive credit at all.
2. There is enough space on the paper to answer the questions. However, ifyou find out that the space
lelt is not enough for your answer, you can continue working on the back ofthe page after indicating
it ir the front of the page. Questions that you put on the back of the page should be numbered
appropriately.
3. A11 questions are worth the same number of points (5pts each). Stafi with questions that seem easy
for you.
The following table gives the life expectancy at birth of females born in the United States
ln vaflous from 1970 to 2010
m
Year of Birth (;r) Life Expectancy (v)(in years)
1970 74.7
1975 76.6
1980 77.4
I 985 78.2
l 990 78.8
t99s 78.9
2000 79.3
2005 80.1
2010 81.0
birth as the
Solano Communify College
Math 011 Name: k*j
for females bom in 1900
a. Find the linear correlation coefficient r 1 using the year of
indepeudent variable. First writgdown the lormula then the value.
., = Fe+X+*)l /h-,\ = o.sGrocz
b. Find an equation for the least square regression line for these data (using the year
of birth as the independent variable). First write down the formulas for finding
thecoefficientsthentheirvalues. 3=L,+b,x. t,: e* ; i.= S -hR
S = -tS8.321 +o" r}ttx
c. Use your regression equation to find the life expectancy of females born in 1900
j[rso,; = LC.LI
d. Compare your answer with the actual life expectancy
which was 48.3 years. Are you surprised? flro^ll'. ..-\u*\*-, ln lxoo,
in \3?o. l5oo ;5
rcre-JiC.J-.r9e-s nok as qloo'ncli o->
r\Q-drciY'e- \.Lva-S ^s\ q> r . t L
f-. pj[-;+4 ut* ('"^9 s' ,-l r5 not s'rfosi^*\.,5e-t-
d'$t"*^h {q\,re,a'
