Scatter plots and Trend lines ASSIGNMENT

Transcription

1 GSE Algebra 1 Unit 6 D1 Name ID: 1 e v2j0k1e6b gkxuqtja^ ESDoifittwMaIrier SLXLvCq.e e IADlilp Er\i^gNh]tjsp mroebsbeurqvreydw. Scatter plots and Trend lines ASSIGNMENT State if there appears to be a positive correlation, negative correlation, or no correlation. Date Period 1) ) ) 4) Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. ) X Y X Y 1,000 6,000 3,000 6,000 3,000 8,000 4,000 9,000 4,000, ) X Y X Y X Y K ^2h0I1o6K EKWuztFaM QSDoTfQtJwxa]rFeA DLnLvCB.P c zallrlb arxizgwhdtjsz JrPetsNeZrpvXevdi.c G omka\deeg EwLiLtch\ limnhfnienkijthet caklygxe`bwraau t1s. -1-

2 7) X Y X Y X Y ) X Y X Y ) X Y X Y 0.1 6, , , , , , , , ,0 1 2,00 ) X Y X Y 1,000 1, ,000 70, , , , , ,000 8, c ]2q0K1J6I CKpuYtfaH DSiolfntKwCaYrme^ alklscj.u l oaylxly PrhiBgRhbtasP _ruexsnemrdveeadp.j J jmhawd_el cw`i[tjhs NIinefwidnviPtke] aavlwgeefbgrqal O1S. -2-

3 11) There is a close relationship between the air pressure inside a hurricane and its maximum sustained wind speed: y = -1.1x where x is the air pressure in millibars (kpa) and y is the wind speed in knots (nautical miles per hour). 1 Wind Speed (knots) Air Pressure (kpa) a) Using the model, what would be the wind speed of a hurricane with an air pressure of 96 kpa? Round your answer to the nearest knot. b) According to the model, a hurricane with an air pressure of 86 kpa would have what wind speed? Round your answer to the nearest knot. c) The model indicates that a wind speed of 63 knots is associated with what air pressure? Round your answer to the nearest millibar. 12) The number of nickels from a particular year found in a sample of 1,000 is related to the number of nickels that were minted that year. This can be expressed as y = 2.66x where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in a sample of 1,000. # In Sample # Minted (0 million) a) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year in which 12.8 hundred million were minted? Round your answer to the nearest whole number. b) According to the model, how many nickels from a year in which 24 hundred million were minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole number. c) A sample of 1,000 nickels contains from a particular year. According to the model, how many would you expect to have been minted that year? Round your answer to the nearest tenth of a hundred million. G k2t0i1_6] CKZuCtmaa RSvo[fatRwMaKrseU sl]lzcl.e N EAllMlA hrsisgwh`t]sq xrie_snecrvvpegdf.i X BMiafdGe[ kwnijtwh_ si_nbfrignriotkej TAJltgAeMbNrQas r1w. -3-

4 13) The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year. This can be modeled by y = x where x is the year and y is the number of marriage licenses issued. 000 Marriage Licenses Year a) According to the model, how many marriage licenses were issued in 02? Round your answer to the nearest hundred. b) Using this model, how many marriages licenses would you expect to be issued in 17? Round your answer to the nearest hundred. c) According to the model, in what year did Clark County issue 1,000 marriage licenses? Disregard years before Round your answer to the nearest year. 14) Scientists have steadily increased the amount of grain that farms can produce each year. The yield for farms in China is given by y = 99.6x - 19 where x is the year and y is the grain yield in kilograms per hectare (kg/ha) Yield (kg/hectare) Year a) According to the model, what was the crop yield in 1967? Round your answer to the nearest whole number. b) Assuming that this trend continues, what crop yield is predicted for the year 38 by the model? Round your answer to the nearest whole number. c) The model indicates that a crop yield of 40 kg/hectare was achieved in what year? Round your answer to the nearest year. z q2q0g1v6o KKruMtvaL VSnoCfgtUwNalrIeN flallco.w ^ QAzlClD JrIijg[h]tgsx OrzeGsIeZrEvaePdC.E c CM^aFdqei Gwuibthh\ vilntfjien`ihtees faolwgheubcrcap V1i. -4-

5 GSE Algebra 1 Unit 6 D1 Name ID: 1 Q D2t0`1g6Q WKzuJt[ad \SgohfGtiwoalrOen flcltce.u k _AHlKlV `rnicg\hvtqsl KriePseeCryvzeWdt. Scatter plots and Trend lines ASSIGNMENT State if there appears to be a positive correlation, negative correlation, or no correlation. Date Period 1) 1 Negative correlation 2) Positive correlation ) Negative correlation 4) 1 Negative correlation Construct a scatter plot. State if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or exponential. ) X Y X Y ,000 6,000 3,000 6,000 3,000 8,000 4,000 9,000 4,000, Positive correlation Linear 6) X Y X Y X Y No correlation f a2i0a1q6k UKZuHtzaz pslocf\tmwramrwe\ CLeL[Ci.x M gallglo ir`ijgghut_sx frgeaszerrpvaesdb.k X ombasdhed HwziztGhW TIqnffFiknbiLtfen pailegfeybcream z1`. -1-

6 7) X Y X Y X Y ) X Y X Y Positive correlation Quadratic 9) X Y X Y 0.1 6, , , , , , , , ,0 1 2, Negative correlation Linear ) X Y X Y 1,000 1, ,000 70, , , , , ,000 8, No correlation No correlation o g2o0i1z6w akiuztraa ISVoUfPtrwWaor`ex blmlscr.x W taolalb erbiogxhwtase urzeasceprivxehdw.u ^ ZMDaBdJek rweixtchs YIcnNfZiPnlimtmeB kaslcg[evboruao O1M. -2-

7 11) There is a close relationship between the air pressure inside a hurricane and its maximum sustained wind speed: y = -1.1x where x is the air pressure in millibars (kpa) and y is the wind speed in knots (nautical miles per hour). 1 Wind Speed (knots) Air Pressure (kpa) a) Using the model, what would be the wind speed of a hurricane with an air pressure of 96 kpa? Round your answer to the nearest knot. 91 knots b) According to the model, a hurricane with an air pressure of 86 kpa would have what wind speed? Round your answer to the nearest knot. 19 knots c) The model indicates that a wind speed of 63 knots is associated with what air pressure? Round your answer to the nearest millibar. 980 kpa 12) The number of nickels from a particular year found in a sample of 1,000 is related to the number of nickels that were minted that year. This can be expressed as y = 2.66x where x is the number of nickels minted in a particular year in hundreds of millions and y is the number of nickels from that year in a sample of 1,000. # In Sample # Minted (0 million) a) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year in which 12.8 hundred million were minted? Round your answer to the nearest whole number. 28 nickels b) According to the model, how many nickels from a year in which 24 hundred million were minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole number. 8 nickels c) A sample of 1,000 nickels contains from a particular year. According to the model, how many would you expect to have been minted that year? Round your answer to the nearest tenth of a hundred million. 9.8 hundred million nickels I h2n0y1h6j xkauitzan CSpoFfutewUayrSei TL[LbCc.G F CAwlKl\ [rsiegqhotuss XrQeYsbesrJvvecdB.B m [MHahd]ee owiiwtahv bihncf\iwnjiataeu CA\lWgSeDbrrnak N1Q. -3-

8 13) The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year. This can be modeled by y = x where x is the year and y is the number of marriage licenses issued. 000 Marriage Licenses Year a) According to the model, how many marriage licenses were issued in 02? Round your answer to the nearest hundred. 139,900 b) Using this model, how many marriages licenses would you expect to be issued in 17? Round your answer to the nearest hundred. 81,000 c) According to the model, in what year did Clark County issue 1,000 marriage licenses? Disregard years before Round your answer to the nearest year. 14) Scientists have steadily increased the amount of grain that farms can produce each year. The yield for farms in China is given by y = 99.6x - 19 where x is the year and y is the grain yield in kilograms per hectare (kg/ha) Yield (kg/hectare) Year a) According to the model, what was the crop yield in 1967? Round your answer to the nearest whole number. 1,913 kg/ha b) Assuming that this trend continues, what crop yield is predicted for the year 38 by the model? Round your answer to the nearest whole number. 8,98 kg/ha c) The model indicates that a crop yield of 40 kg/hectare was achieved in what year? Round your answer to the nearest year f B2k0h1A6[ ^KhuWtgaZ WSooZfXtXwQaZrpeE \LrL]Ca.I U tallulj brzicghhit\sc urqesspe]rmvaeldj.v p lmga]daec Ywdivtvhr lilnefwi`n[intfee iadlxgnevbarmax S1_. -4-