Listed below are brain sizes (in cm 3 ) and Wechsler IQ scores of subjects (based on
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Listed below are brain sizes (in cm3) and Wechsler IQ scores of subjects (based on data from StatLib and ?Brain Size, Head Size, and Intelligence Quotient in Monozygotic Twins,? by Tramo, et al., Neurology, Vol. 50, No. 5). Is there sufficient evidence to conclude that there is a linear correlation between brain size and IQ score? Does it appear that people with larger brains are more intelligent?
Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using ? = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables.?
Transcribed Image Text:
Brain Size IQ 965 1029 1030 1285 1049 1077 1037 1068 1176 1105 90 85 86 102 103 97 124 125 102 114 TABLE A-6 Critical Values of the Pearson Correlation Coefficient r n TELEFONNING 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 α = .05 .950 .878 811 .754 .707 .666 .632 .602 576 .553 .532 .514 .497 482 468 .456 444 .396 .361 .335 312 294 279 254 236 220 207 .196 a = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463 .430 .402 .378 .361 .330 .305 286 .269 .256
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