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Negative relationship

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relationship between illness and vaccination, if it is observed that where the incidence of one is higher than average, the incidence of the other tends to be lower than average. Similarly, there would be a negative
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relationship between illness and vaccination if it is observed in one location that times with a higher-than-average incidence of one tend to coincide with a lower-than-average incidence of the other.
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between two variables if higher values of one variable tend to be associated with lower values of the other. A negative relationship between two variables usually implies that the
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of the arc of separation of the points on the sphere. When this arc is more than a quarter-circle (θ > π/2), then the cosine is negative.
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points represent a correlation of –1 = cos(π). Any two points not in the same hemisphere have negative correlation.
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and as well for negative real numbers. Thus the slope is everywhere negative except at the
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between them is negative, or — what is in some contexts equivalent — that the
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Negative correlation can be seen geometrically when two normalized
167: 79: 52: 242: 235: 111: 275: 131: 31:When 3Ď€ /2 > θ > Ď€ /2 , then cos(θ) < 0. 322: 276:{\displaystyle \ y\prime ={\frac {-k}{x^{2}}}\ } 182:by holding them both in the same portfolio. 101:A particular inverse relationship is called 74:are viewed as points on a sphere, and the 55:in a corresponding graph is negative. A 26: 14: 323: 174:on two different assets enhances the 170:, an inverse correlation between the 316:Oklahoma State University–Stillwater 151:this relationship is displayed as a 24: 25: 342: 331:Independence (probability theory) 304: 59:between variables is also called 89:An example would be a negative 220: 204: 13: 1: 197: 7: 185: 10: 347: 212:Understanding Correlation 312:Testing for correlation 103:inverse proportionality 277: 178:-reduction effect of 133: 32: 285:positive real numbers 278: 134: 132:{\displaystyle y=k/x} 84:Diametrically opposed 41:negative relationship 30: 233: 216:University of Hawaii 109: 78:between them is the 57:negative correlation 45:inverse relationship 192:Diminishing returns 65:inverse correlation 273: 129: 105:, and is given by 33: 272: 268: 238: 16:(Redirected from 338: 298: 283:is negative for 282: 280: 279: 274: 270: 269: 267: 266: 257: 249: 236: 224: 218: 208: 138: 136: 135: 130: 125: 21: 346: 345: 341: 340: 339: 337: 336: 335: 321: 320: 310:Michael Palmer 307: 302: 301: 262: 258: 250: 248: 234: 231: 230: 225: 221: 209: 205: 200: 188: 149:Cartesian plane 121: 110: 107: 106: 91:cross-sectional 61:anticorrelation 23: 22: 18:Anticorrelation 15: 12: 11: 5: 344: 334: 333: 319: 318: 306: 305:External links 303: 300: 299: 265: 261: 256: 253: 247: 244: 241: 219: 202: 201: 199: 196: 195: 194: 187: 184: 159:decreasing as 128: 124: 120: 117: 114: 72:random vectors 9: 6: 4: 3: 2: 343: 332: 329: 328: 326: 317: 313: 309: 308: 296: 293: 289: 286: 263: 259: 254: 251: 245: 239: 229: 223: 217: 213: 210:R. J. Rummel 207: 203: 193: 190: 189: 183: 181: 177: 173: 169: 164: 162: 158: 154: 150: 146: 142: 126: 122: 118: 115: 112: 104: 99: 97: 92: 87: 85: 81: 77: 73: 68: 66: 62: 58: 54: 50: 46: 42: 39:, there is a 38: 29: 19: 294: 287: 222: 206: 180:diversifying 165: 160: 156: 143:> 0 is a 140: 100: 88: 69: 64: 60: 56: 44: 40: 34: 292:singularity 163:increases. 76:correlation 49:correlation 228:derivative 198:References 37:statistics 252:− 243:′ 153:hyperbola 325:Category 186:See also 145:constant 96:temporal 172:returns 168:finance 147:. In a 271:  237:  139:where 80:cosine 314:from 214:from 155:with 53:slope 297:= 0. 226:The 176:risk 166:In 63:or 43:or 35:In 327:: 67:. 295:x 288:x 264:2 260:x 255:k 246:= 240:y 161:x 157:y 141:k 127:x 123:/ 119:k 116:= 113:y 20:)

Index

Anticorrelation

statistics
correlation
slope
random vectors
correlation
cosine
Diametrically opposed
cross-sectional
temporal
inverse proportionality
constant
Cartesian plane
hyperbola
finance
returns
risk
diversifying
Diminishing returns
Understanding Correlation
University of Hawaii
derivative
positive real numbers
singularity
Testing for correlation
Oklahoma State University–Stillwater
Category
Independence (probability theory)

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