Statistics - 2 (Ineference)

Transcription

1 Math I - K Jones Name Statistics - 2 (Ineference) 1) The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000: y = x where x is the year and y is the number of marriage licenses issued. Year Marriage Licenses , , , , , ,600 Marriage Licenses Year a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) According to the model, how many marriage licenses were issued in 2004? Round your answer to the nearest hundred. d) Using this model, how many marriages licenses would you expect to be issued in 2016? Round your answer to the nearest hundred. e) According to the model, in what year did Clark County issue 120,000 marriage licenses? Disregard years before Round your answer to the nearest year. s w2w0s1h6v tknuwtxae esrodfjtawuayr`ef OLWLoCs.x T baullli HrKiJgDhxtWsO erjeisyetrfvaexdw.w y DMGavdJeO yweijtkhk oienlf`ihndivt`es MA\lYgteMbjraaF e1i. -1-

2 2) The number of times that a school has won the national college basketball tournament is related to the number of times that the school has participated in the tournament. Here is the data for several schools: This relationship can be modeled by y = x x where x is the number of appearances in the tournament and y is the number of championships they have won. Appearances Championships Won Championships Won Appearances b) According to the model, you would expect a school with 21 appearances to have won how many championships? Round your answer to the nearest whole number. c) Using this model, a school with 58 appearances in the tournament would be expected to have won how many championships? Round your answer to the nearest whole number. d) Based on this model, how many tournament appearances would you expect from a school that won 2 championships? Round your answer to the nearest whole number. P t2d0x1e6q VKAugtRa_ ^SqoHfftbwCaJrVe\ qlel^cm.a N QAGlxla vrsiiguhmttsh urbebsgewrav\ecdw.e j cmgatdieq owiirtxh[ ai[ncfviknvimtcec faklzguezb\road O1p. -2-

3 3) The height and weight of several adults were recorded: Height (ft) Weight (lbs) It was discovered that this can be modeled by the equation y = 9.25x x where x is height in feet and y is weight in pounds. Weight (pounds) Height (feet) b) Using this model, what would be the weight of someone who is 5.8 ft tall? Round your answer to the nearest tenth. c) According to the model, what would be the weight of someone who is 7 ft tall? Round your answer to the nearest tenth. d) What height corresponds to a weight of 140 pounds? Round your answer to the nearest hundredth. P w2a0s1r6d rkpuotmal XSVoDfHtpwhaWrZe\ flaluca.y J _ALlsli ZrRiIgFhbtTsF MrKeasweWrtvNeTd[.l W BMRaLdnet lwqijtzh\ UIznSfUiunKivt_ez RALlmgIeMbrrgaG o1x. -3-

4 4) With the help of scientists, farmers in the United States have been able to produce more and more grain per hectare each year. Here are the crop yields for several years: The crop yield can be described by the equation y = 95.1x where x is the year and y is the grain yield in kilograms per hectare (kg/ha). Year Yield (kg/hectare) , , , , , ,520 Yield (kg/hectare) Year a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) According to the model, what was the crop yield in 1971? Round your answer to the nearest whole number. d) Assuming that this trend continues, what crop yield is predicted for the year 2021 by the model? Round your answer to the nearest whole number. e) The model indicates that a crop yield of 4600 kg/hectare was achieved in what year? Round your answer to the nearest year. l f2o0v1o6x CKRu_tZad TSKokfatGwma]rDeq ]LgLmCw.g Z TA[lZlz yr[iwg]hjtwsc Urde[s`eyrPvFeNdf.T N ^MKaQdgef VwVigtEhX SIDnrfkiWnfiKtZet hailpgiecblrcay U1k. -4-

5 5) Households consume much more electricity when the weather is warmer: Temperature ( F) Electricity (kwh) y = 0.499x where x is the average daily temperature in F and y is the average amount of electricity consumed in kilowatt-hours (kwh). Electricity (kwh) Temperature ( F) a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) Using the model, how much electricity would be consumed if the average daily temperature was 68 F? Round your answer to the nearest kilowatt-hour. d) According to the model, how much electricity would be consumed if the average daily temperature was 103 F? Round your answer to the nearest kilowatt-hour. e) What temperature would it need to reach in order for 41 kwh to be consumed? Round your answer to the nearest degree. N D2d0Q1h6Z wkkugtnah cs_osfstjwnalrseu olglycw.i V VA]lDlw UrviKgIhUtjsg freegs]earivperdn.p k YMxaidteW nwgitthhy AIfncfvilnEiYtfed _AylrgTe[bHroaW o1p. -5-

6 6) Economists have found that the amount of corruption in a country is correlated to the productivity of that country. Productivity is measured by gross domestic product (GDP) per capita. Corruption is measured on a scale from 0 to 100 with 0 being highly corrupt and 100 being least corrupt: Corruption Score GDP Per Capita ($) 20 2, , , , , ,500 y = 473x 7610 where x is the corruption score and y is GDP per capita in dollars. GDP Per Capita ($) Corruption Score a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) According to the model, what would be the GDP per capita of a country with a corruption score of 38? Round your answer to the nearest dollar. d) Using this model, a country with a corruption score of 79 would have what GDP per capita? Round your answer to the nearest dollar. e) A GDP per capita of $8,900 corresponds to what corruption score, according to the model? Round your answer to the nearest whole number. E i2p0i1h6[ ykvu`tfas [SXorfJtwwxasr[em qlflmcf.e k IAfl\lk Sr`iIgKhqtNsW Ir]erszehrHvAesd_.f t XMVaedhex TwNi_tjhi VIHnkfeitnZiJtpeX DAclVgVeUbXr_aA O1b. -6-

7 7) Households consume much more electricity when the weather is warmer: Temperature ( F) Electricity (kwh) y = 0.444x where x is the average daily temperature in F and y is the average amount of electricity consumed in kilowatt-hours (kwh). Electricity (kwh) Temperature ( F) a) What does the slope of the line represent? b) What does the y-intercept of this function represent? c) Using the model, how much electricity would be consumed if the average daily temperature was 75 F? Round your answer to the nearest kilowatt-hour. d) According to the model, how much electricity would be consumed if the average daily temperature was 91 F? Round your answer to the nearest kilowatt-hour. e) What temperature would it need to reach in order for 38 kwh to be consumed? Round your answer to the nearest degree. i M2h0q1W6j ]KAultpae [S`orfZtJw^akrLee \LPLZCy.[ l OA`lhlO WrZi`gThNt]sY IrQepssemrMv`epda.o U NM^a]dDed gwjibtfh[ SIHnifDiYnuiKtzeF jadlygjetburzau n1t. -7-

8 8) The population of a city is given for several years: Year Population 0 55, , , , , ,000 y = x where x is the number of years since the city was founded and y is the population. Population Years Since Founded b) According to the model, what was the city's population 9 years after it was founded? Round your answer to the nearest hundred. c) Using the model, what will the population of the city be when it is 27 years old? Round your answer to the nearest hundred. d) Based on the model, after how many years was the population 130,000? Round your answer to the nearest year. t Z2l0Y1K6G XKUuQtfam XStoHfGt`wBaBrDe] HLdL^CA.a L paxldl[ PrCidgAhGtas^ wrwe`s]emrkvbecdy.s x umzahdqei gwrietnhh HISnjfCiznyi^tTe[ GA]lKgQeQbgrlai k1k. -8-

9 9) The time for the fastest runner for their age in the Rockville Rotary Twilight Runfest 8k Race is given for several ages: Age Time (minutes) y = x x where x is the age and y is the number of minutes taken. Time (minutes) Age (years) b) Using this model, what would be the time for the fastest 39-year-old? Round your answer to the nearest hundredth. c) According to the model, what would be the time for the fastest 79-year-old? Round your answer to the nearest hundredth. d) What age(s) correspond to a time of 27.3 minutes? Round your answer(s) to the nearest tenth. [ G2B0b1c6L WKdu_ttaR `SjoBfztowzamrOeU CL`LYCb.e n vazlslq Ur_iIg[hBtOso qrre[slemrkvdevdp.r G rmyabdrej ow`iytehs sitnrfciznwigtgel iaylcgtesbmrdai z1f. -9-

10 10) The running pace for the fastest female runner for their age in the Race for Hope 5k is given for several ages: Age Pace (minutes per mile) y = x x where x is age and y is average pace in minutes per mile. Pace (minutes per mile) Age (years) b) Using this model, what would be the pace for the fastest 30-year-old woman? Round your answer to the nearest hundredth. c) According to the model, what would be the pace for the fastest a 85-year-old woman? Round your answer to the nearest hundredth. d) What age(s) correspond to a pace of 7.8 minutes? Round your answer(s) to the nearest tenth. N X2m0v1B6_ ZKau\tZac ISpojfbthwsaBrxez RLFLWCI.D y va_lble Dr\iRgzhjtXs` MraeCs`eRrSvcepd\.r f vmfaqdxey `wfiitdhv giinbfbifnvirteey \ALl_gMeqbDr[aD d1p. -10-

11 11) The running pace for the fastest female runner for their age in the Race for Hope 5k is given for several ages: Age Pace (minutes per mile) y = x x where x is age and y is average pace in minutes per mile. Pace (minutes per mile) Age (years) b) Using this model, what would be the pace for the fastest 26-year-old woman? Round your answer to the nearest hundredth. c) According to the model, what would be the pace for the fastest a 73-year-old woman? Round your answer to the nearest hundredth. d) What age(s) correspond to a pace of 7.5 minutes? Round your answer(s) to the nearest tenth. i z2i0e1j6n mksuyteal ]SmoKf[trwpafr]eW ylyljcw.t V DAClml` OrLiuguhatZsq YraewsgeIrXvkeWdB.k l ymmaqdveg UwwiJtmhx fiknffcidnhigtvey TAwl]gfeTb[rMaL N1c. -11-

12 12) The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000: y = x x where x is the year and y is the number of marriage licenses issued. Year Marriage Licenses , , , , , ,900 Marriage Licenses Year b) According to the model, how many marriage licenses were issued in 2006? Round your answer to the nearest hundred. c) Using this model, how many marriages licenses would you expect to be issued in 2017? Round your answer to the nearest hundred. d) According to the model, in what year did Clark County issue 140,000 marriage licenses? Disregard years before Round your answer to the nearest year. h B2J0d1c6U AKQuStKag LSLoHfMtFwSa^rqe\ YL\LmC].H r darljlg Urgi_gih\tQsP wrgecsaevr]v`ewdy.f d imxatdgec dw^ixttho ]ImnufUiBnCidtjeg VAulcgTeRbwr`a] W1o. -12-