从表格到散点图：识别变量关系与趋势线

GeoGebra 命令及参数

1. RandomUniform(0, 0.99, 400) → allRandoms, {0.9294057287478594, 0.1321211127431961, 0.18473602354721605, 0.5213883994300303, 0.15089809311475713, 0.07616616444182976, 0.2985144370369922, 0.9482838448925606, 0.2895301751186992, 0.8104704639559568, 0.1523234706420959, 0.03211053171545286, 0.682209760787389, 0.02994822610885676, 0.6420335038325583, 0.5673648207265708, 0.13826791083611198, 0.33261095678209524, 0.8046651450789795, 0.514335246868874, 0.11812430123907386, 0.2081922831318171, 0.5843989670267391, 0.9804859763553179, 0.7005928839634215, 0.4734234158747672, 0.7623590270764886, 0.44930650362578767, 0.7983014543436712, 0.3910280545637683, 0.3184867485537182, 0.2896880590178682, 0.6161189585295899, 0.7135970971971709, 0.9384599575821412, 0.250946841325868, 0.3188407628151292, 0.4210333501005215, 0.23418846707747173, 0.7491129208462396, 0.2216784867608295, 0.6512224874804419, 0.39293099346989036, 0.7990388079532917, 0.8803321220919423, 0.39799173281037936, 0.19752932798265974, 0.2942550052226635, 0.9865929171030268, 0.7882587037667782, 0.3986446658060227, 0.8123101922016317, 0.9305323169546066, 0.4415524112050654, 0.6392068201635177, 0.7175818277309987, 0.6713779904778084, 0.17980573403153483, 0.5115509237484405, 0.026228496945048023, 0.47615932467506566, 0.6134719322667911, 0.2589173801995958, 0.969078381978881, 0.8581256088343231, 0.571610701411292, 0.3851293026920084, 0.5378087232356357, 0.20579714182704884, 0.8486176342903383, 0.24933824720383888, 0.737769504374108, 0.18830436048180646, 0.1687382676383623, 0.5267421951139596, 0.9072394080116404, 0.5534028186673166, 0.0014122467532378402, 0.4411315140342831, 0.11777587311540204, 0.35122126570986506, 0.025834395089116523, 0.39100662258662316, 0.6236316263549101, 0.1494082000541014, 0.2918995444403963, 0.7378379005739288, 0.21995721078833483, 0.6338864837710819, 0.7569137969527615, 0.3728016308219327, 0.11969574658472563, 0.2839084182404234, 0.9131106126859725, 0.6670270703681977, 0.927698417459083, 0.6505236406218476, 0.1801000220131826, 0.650028477556663, 0.5776501548293611, 0.47392939309809784, 0.44891052031773293, 0.021571964692005976, 0.16289255033231248, 0.42746762913714315, 0.7802484519179619, 0.963740831031825, 0.09616730532028289, 0.17426643674264192, 0.27900494979061413, 0.842414144985587, 0.2656757646516523, 0.13669206175031764, 0.47988168112849267, 0.7207621119947908, 0.8556612319135103, 0.13888637301246445, 0.40528657371864607, 0.3516875365942688, 0.6089686851146675, 0.03870888370424196, 0.8463667681853001, 0.04140724861010595, 0.586721545159684, 0.15738493684918253, 0.17120088218953386, 0.3325673951016209, 0.36637915283106776, 0.4530819064286215, 0.7807644406966966, 0.6424259993357823, 0.3039983085899826, 0.03849213694721604, 0.7533110804213341, 0.28971220536239223, 0.9495206031898967, 0.8322968946231154, 0.41127973530880546, 0.7427849139970086, 0.12534294393270232, 0.07011745736062439, 0.6117417242651478, 0.3816652533878304, 0.8483013368356516, 0.23222994443282535, 0.5617435576030244, 0.2074054200374425, 0.7835092122521287, 0.4029271462469255, 0.08368089751513501, 0.7640832492664408, 0.60523871046076, 0.7299566609025295, 0.24305532915391834, 0.7114748017609486, 0.9652196051263823, 0.04194575510277668, 0.8616205616494008, 0.07015916170903752, 0.26235359075118886, 0.7371443072846346, 0.8030159190266957, 0.8054476849372211, 0.6599013772577399, 0.33817428731238114, 0.2055146238004397, 0.9521065465121716, 0.5766993563552256, 0.05476880742086677, 0.8674809163061352, 0.8583549052252779, 0.15789704568294838, 0.29971687595303, 0.7755346855020537, 0.1650722861183215, 0.7380800904851047, 0.15239920896108713, 0.11326368434658599, 0.43453711462564526, 0.42545416968694516, 0.9894084308154665, 0.7896029663789065, 0.32234525122525054, 0.4200129645007738, 0.23279154027177465, 0.4607180246765904, 0.6064201298084927, 0.9312989784248837, 0.8834352114638572, 0.7373820629065633, 0.5082279270161856, 0.3824892854357519, 0.7800342188570007, 0.4514300756496208, 0.1934496051868543, 0.15709841694540735, 0.9429407589169807, 0.7599014125879946, 0.4024380355183621, 0.05258890539530744, 0.7969874235892996, 0.6039492221419567, 0.9048016436502337, 0.31161562756063693, 0.7781090763907477, 0.6714999982811201, 0.34740772036289974, 0.6565027239495261, 0.9252583451627913, 0.16798745698732362, 0.9709870237167006, 0.19586313483674492, 0.20171763182908148, 0.9882649933736496, 0.8273470820430838, 0.9440179150668241, 0.13845471968988513, 0.5950172581162366, 0.6569660617028897, 0.01405887654385427, 0.9166519620221508, 0.6046461111981203, 0.12543948979859798, 0.5140207351037469, 0.6769587295036426, 0.6006973999614473, 0.726891145951502, 0.5926893709673593, 0.35937435515001614, 0.8674252782465598, 0.06303577539399921, 0.2570713589947412, 0.4999634769331063, 0.6120563721654704, 0.9180943673998349, 0.5074849047567903, 0.6588386202089936, 0.3037213724494516, 0.2722146242778566, 0.5686056085338127, 0.2980141224897493, 0.9798632298357035, 0.7794373499136129, 0.8056113931419818, 0.4778433832784282, 0.14720960919806028, 0.3105760554846783, 0.2138180862764316, 0.8767962399078681, 0.3641156295199407, 0.5266403727462795, 0.527883715555843, 0.12131569042686044, 0.4642354270159115, 0.464635490167917, 0.9527817486033195, 0.6304129410236118, 0.9480744252072287, 0.8047080729498919, 0.143304890826578, 0.05351749736069863, 0.5890023891738138, 0.2556854697758978, 0.5118580995511132, 0.09989361060238758, 0.6537747776808859, 0.49506894549105235, 0.5557361678934163, 0.9336670690248512, 0.004513945778141123, 0.8394921623312959, 0.2949531643448086, 0.07017604750980537, 0.29944349820414917, 0.8625457297439956, 0.4400024773455257, 0.6569673898135652, 0.013448624259287324, 0.9086939022278764, 0.02567360863885439, 0.6963042696259921, 0.42675196765106244, 0.8247739074903429, 0.8522379435583558, 0.965533983780746, 0.8506483673967392, 0.704269027398394, 0.26893797799992525, 0.4870842730954474, 0.3933348462600791, 0.05418557074736222, 0.566776308411195, 0.8012141053625785, 0.026399771209549634, 0.2799399863526015, 0.3680972982449731, 0.16193981891040451, 0.693503760225424, 0.14017570015237465, 0.4893907819583201, 0.34978972212995085, 0.9071877426946389, 0.19088110433253133, 0.3711203135866557, 0.8042105152916426, 0.8075859959018189, 0.22656813435337086, 0.10418801613995202, 0.3735561689466787, 0.1981015436478726, 0.15559722449447055, 0.9168975663193625, 0.8316343500015365, 0.9678175427351839, 0.6169985588003948, 0.8389610045723127, 0.4867690647007498, 0.45857264466137393, 0.3973400306548856, 0.25021921881812637, 0.5122567271471221, 0.6362207738575398, 0.36833131494289806, 0.7913055971269205, 0.2759512898477671, 0.9706241268736999, 0.7189298207153219, 0.6514812715242024, 0.2315085682920754, 0.5973956850224588, 0.8797276016380886, 0.15530504140645893, 0.48455243153193645, 0.7163115055068995, 0.5323495299274656, 0.184674863783432, 0.7436952595206175, 0.9666549734432145, 0.012482142690245666, 0.3060877487765123, 0.738952885455744, 0.9385343955958699, 0.3419781166427332, 0.3647133923479987, 0.028638775613926228, 0.5314323271505411, 0.1332453538725631, 0.5370623061285421, 0.44030465983600386, 0.946898916072253, 0.4778309432040263, 0.20265192050152261, 0.4317152571790735, 0.12139387450878639, 0.26074843002701087, 0.6521351891960148, 0.7842012107628414, 0.8778104370101564, 0.05267378517915921, 0.7948539887979152, 0.41303026124995107, 0.08018206861839672, 0.163648260200504, 0.042715132214380815, 0.17766847969256538, 0.615476278529024, 0.3543781384739694, 0.3196600127070259, 0.9189734965074922, 0.9692222734147344, 0.9446097905668865, 0.9568093368320497, 0.32046917472407527, 0.16799825382786043, 0.3023846714307851, 0.14261237078142405, 0.20689578733995787, 0.05152103852424927, 0.7532425291868539, 0.15501602826866842, 0.865212724552379, 0.11023453945286005, 0.5546422332876457, 0.408791567791371, 0.7011499967537764, 0.11088646983342437, 0.35800865745774874, 0.9157180031743896, 0.418262880364189, 0.952610625127224, 0.42888942100151817, 0.37831840679260303, 0.22623837944093741, 0.8794998967376885, 0.8847199807588139, 0.37928199435765303, 0.1109352249194545, 0.5425591434164342, 0.7596460199219328, 0.19857666521510142}
2. Take(allRandoms, randIndex, randIndex + numRandoms - 1) → currentRandomSeeds
3. Element({randomSlope1, randomSlope2, 0}, randomProb) → randomSlope
4. If(randomProb ≟ 1, 150 - floor((currentRandomSeeds(40) * 40)), 20 + floor((currentRandomSeeds(40) * 10))) → yInt
5. If(randomProb ≟ 1, 150, randomProb ≟ 2, 100, 30) → numMax
6. If(randomProb ≟ 1, 5, multiplier) → rounding
7. If(randomProb ≟ 1, 40, randomProb ≟ 2, 20, 5) → numMin
8. Sample(Sequence[1, 10], 6, false) → sampleY1, {7, 1, 2, 6, 4, 9}
9. Sample(Sequence[1, 10], 6, false) → sampleY2, {4, 1, 6, 3, 5, 7}
10. Sample(Sequence[1, 10], 6, false) → sampleY3, {9, 2, 5, 10, 1, 3}
11. Sample(Sequence[1, 10], 6, false) → sampleY4, {3, 7, 4, 8, 9, 10}
12. Sample(Sequence[2, 5], 4, true) → sampleX1, {4, 3, 5, 3}
13. Sample(Sequence[2, 5], 4, true) → sampleX2, {4, 4, 2, 5}
14. Sample(Sequence[2, 5], 4, true) → sampleX3, {5, 5, 3, 3}
15. Element({sampleY1, sampleY2, sampleY3, sampleY4}, 1 + Mod[countQuestion, 4]) → sampleYUnordered
16. Element({Reverse[Sort[sampleYUnordered]], Sort[sampleYUnordered], sampleYUnordered}, caseNum) → sampleY
17. Sort(Join[{{1, 6}, Element[{sampleX1, sampleX2, sampleX3}, 1 + Mod[countQuestion, 3]]}]) → sampleX
18. Element({20, 40, 30}, caseNum) → yRange
19. Element({105, 35, 0}, caseNum) → yOffset
20. Zip((A, (yRange * B / 10) + yOffset), A, sampleX, B, sampleY) → allPoints
21. Polygon(polygonCoords) → dragArea
22. Midpoint(Vertex[dragArea, 1], Vertex[dragArea, 3]) → DragCenter
23. If(¬correctLabels, 1, 2) → step
24. If(randomProb ≠ 2, ((42 + 2) * pixelHeightConvert), ((55 + 2) * pixelHeightConvert)) → titleHeight
25. If(randomProb ≟ 2, 0.2, 1) → scalingFactor
26. Polygon(graphDimPoints) → graphArea
27. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
28. Corner(5) → layoutAppSize
29. Segment((0, 0), (graphDims(3), 0)) → axisX
30. Segment((0, 0), (0, graphDims(4))) → axisY
31. Zip(PixelsToPoint[(dimensions(1), dimensions(2)), (dimensions(3), dimensions(4)), (800, 500), TablePX + A], A, {(55, 35 / 2 + 5), (155, 35 / 2 + 5)}) → homePoints
32. Text(currentMoveLabel(1), PMoveX, true, true, 0, 0) → textLabelX
33. If(countQuestion ≟ 0, 1, 1 + floor((currentRandomSeeds(1) * 2))) → randomOrder
34. Sequence(Corner[textLabelX, n], n, 1, 4) → xLabelCorners
35. If(numTime ≤ 12, numTime + "\;am", numTime - 12 + "\;pm") → textTime
36. Sequence(Text[If[randomProb ≟ 1, 10, 0] + (n * If[randomProb ≟ 1, 10, 1]), (n, (-0.5 * multiplier)), true, true, 0, -1], n, 1, 6) → textXAxis12
37. Sequence(Text[ConvertTime[(2 * n) + 6], (n, 0), true, true, 0, -1], n, 1, 6) → textXAxis3
38. If(caseNum < 3, textXAxis12, textXAxis3) → textXAxis
39. Append(((((("\cellcolor{" * If[step ≟ 2 ∨ PMoveX ≠ homePoints(1), "#FFFFFF", colorShade]) * "}") * If[PMoveX ≟ homePoints(1), "\phantom{", "{"]) * tableLabel(1)) * "}"), Zip[(((("\cellcolor{" * If[animateStage ≟ B, colorPinkLight, "#FFFFFF"]) * "}{") * textXAxis(x(A))) * "}"), A, allPoints, B, {1, 2, 3, 4, 5, 6}]) → col1
40. Append(((((("\cellcolor{" * If[step ≟ 2 ∨ PMoveY ≠ homePoints(2), "#FFFFFF", colorShade]) * "}") * If[PMoveY ≟ homePoints(2), "\phantom{", "{"]) * tableLabel(2)) * "}"), Zip[(((("\cellcolor{" * If[animateStage ≟ B, colorPinkLight, "#FFFFFF"]) * "}{") * y(A)) * "}"), A, allPoints, B, {1, 2, 3, 4, 5, 6}]) → col2
41. TableText(col1, col2, "vc_|", 100, 35) → displayTable
42. Min(1, ((1 + animateControl - animateStage) * 1.5)) → animateValue
43. Take(allPoints, 1, animateStage - If[animateValue ≟ 1, 0, 1]) → displayPoints
44. centerBox(boxWidthX, boxHeightX, PMoveX) → moveLabelX
45. centerBox(boxWidthY, boxHeightY, PMoveY) → moveLabelY
46. ReplaceAll(tableLabel(2), "$", "\$") → yMoveLabel
47. Text(currentMoveLabel(2), PMoveY, true, true, 0, 0) → textLabelY
48. VerticalText(currentMoveLabel(2)) → lblY
49. Text(currentMoveLabel(If[PMoveX ≟ DragCenter, 1, 2]), DragCenter, true, true, 0, 0) → axisLabelX
50. Zip(PulsePoint + (((A * xPX10) * 5), ((B * yPX10) * 1.75)), A, {-1, 1, 1, -1}, B, {-1, -1, 1, 1}) → onboardingCorners
51. Polygon(onboardingCorners) → backgroundPulsing
52. Polygon(onboardingCorners) → pulsingQuad
53. Polygon({(dimensions(1), dimensions(2)), (dimensions(1), dimensions(4)), (dimensions(3), dimensions(4)), (dimensions(3), dimensions(2))}) → coverBox