Unit 6 exam review: Data Analysis

1. Identify whether each graph illustrates one-variable or two-variable data. How do you know?a)

Fa,,,urite Music Style b)Favourite Colour

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"Z 4

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2. For each table, decide whether it illustrates one-variable or two-variable data. Explain your answer.a)

OM --/J(Ln;aI:>f-e - PhAt on» pteec atcieo« ( -h rn..e) f!.-or ~t. /(LU/1 o er .

r-:--::---:--:---::---::---:-:::-:-::-:-:-:---,-----:-.,--::----,--:-:--::----r----:--::-:-:--,---:-1-:-4 7=-C6:--'---'1-::-9-:-36~ ;) #v()..fia' (e - d-

L=:::=-=.::...::....::.L-- '---..::..::..:-=----'--.:...=.....::..=..:'---'--=:..=....::..:....::...---'---....::5~9 ..::..04..:..::0,----,----,-4...:,.4=52=8'---1 pi <-CM~~ o.d -. h f-V.-~)

:J--- co»: (,'tlJ tc '~~~~~~~~--~--~--=-~~~---r--~--r-~~-+--~~L.:...:.==::.L...l...:.=. __ ..L-----"=----L--=::....:.----l._.:::...::.._-'-----"..:"----'---='-"'---.L_~___l -7 1-pi ec zr of!. ~ (-If; of

fn,a.l( <f Meu/ICI(!4f) .3. State whether this situation involves one-variable or two-variable data and identify the variable(s). U

A sport fisher claims that lower temperatures increase the number offish caught. l v(U-I.:abio _ lernr ry fu -if:- of- .f!.uJ.4. Thi t bl h th b fh f h k d th tin h art rate for four studen&CUtjh.f- .

b)

c)

IS a e sows e num ero ourso exercise eac wee an e res Ig eStudent Janhet Mav Li-Ting SamHours of exercise 5.00 11.75 5.50 10.50Heart rate (bpm) 78 51 70 61

What type of graph would you use to see if there is a relationship between hours of exercise and heart rate? [ccvf{-e".,- PI 0 t: ' )( .)'h 0 u.i 2.. v auv t'aJ., (eS

5. This graph shows the growth of a selected number of calves.

55

504540

•• 35:! 30•• 25i 20

1510

5 ~~ •

o 2 3 4 6 ~ e t' (f'-O- \,.,l vV ~Age (weeks) »> I l J' UV"-~hlr ,I.IJ't)

a) What variables ~e involved in th~ graph? rt La,,f''\, +- ..f1Wb) What relationship does the graph illustrate? - ~ ~ I)ffi

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6. In each part, identify the independent variable. 1 •

a) The speed of a train and its fuel consumption .~ S'p.e e d of trCL I "

b) The time it takes to a mow a lawn and the area of the lawn - o..r~ of' ta...\JJn 1:c) The number of pages printed and the number of replacement ink cartridges bought - -:tt= of. pCUjeg pn "td .d) The number ofT-shirts sold at a concert and the number of people at the concert -...l1- (' \ @ .r-t ._ ~Ot peop -e C-OhCe.i

7. In each situation, decide whether each conclusion is reasonable.a) A negative correlation between swimming lessons and mortality in boating accidents leads researchers to conclude that

sw~ lessons reduce the risk of death in hoatmg accidents. reas 0hc:i1, ie.. .b) A positive correlation between beard length and blood pressure in men leads researchers to conclude that longer beards

increase men's blood pressure. u...n r e..GLSty\o.-.-b le: - .c) A E9sitive correlation between the number of movie downloads and the average speed of Internet connections leads

researchers to conclude that movie downloads increase .the speed of the Internet. u..n r~ o\n~ (-e.

8. Determine the equation of the line of best fit for this graph. f:'c;-hM.O...t~Sugar Content of Pop m ~ '12. _ \j':

140 ~

120 (£1DOl 1:2&) M-.- k.100

:§ 80•..'"~ 60

fI)

40

~O -20

pOLUs- .'i -=- 0, IOC! IC + b

gD -:::0 .IOq{o) + b

L~O= 10 17:: 12~-~2..<100- 0

qg900

I tn - o.IDCJ~o 100200300400500600700800900

Volume (mL) 'icfY\')L-t-io

9. Al uses this line of best fit to conclude that after 1200 s, the mug will have a temperature of -29°C. What is wrong with AI'sanalysis? .

100

90

GSo •0e 70

B6Qe~ soe~ 40

30

20

10

0 100

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Cooling of an Insulated Mug

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10. Thi tabl h

200 300 400 500 600 700 800 900

Time (s)

h f '1 onths.IS e SOWS t e pnce 0 Ol and the stock price of an alternative energy company measured over twelve mMonth 1 2 3 4 5 6 7 8 9 10 11 12Price of oil 101 103 115($lbarrel) 130 122 135 118 107 119 123 125 119

Stock price 53.5 60.7 80.5 99.1091.5 112.9 88.2 62.9 86.8

($) 7 1 5 4 5 6 9 3 88.11 97.25 85.83

a) Which is the independent variable? Why do you think sO?":"N 1'1 rY' f of il : d..f2-.eVY'I Io~ C-c..'J1"l'ft'o I (eof'b) Create a scatter plot of the data. I...A..IC) _ Dc) D~es there appear to be a correlation? If so, describe it. hL{ oi ! p(7)d~·ci) Is It reasonable to assume a cause-and-effect relations ip? Explain-

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