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Save Homework: Homework: 10.1 Correlation Score: 0 of 1 pt 4 Il of 11 ( complete) HW Score: 59.74% 6 57 of 11 pts Question Helo Instructor-created question Listed below are the brain volumes (in cm) of twins and the corresponding 1 score. Construct a scatterplot find the value of the linear correlation coeficient, and find the P-value using 0.05. Is there sufficient evidence to conclude that there is a linea correlation between brain volume and IQ scores? Full Data ser Brain volume 1009 965 1032 1027 1284 1275 1057 1073 1035 1074 NQ score 96 89 88 88 102 102 102 97 128 127 Brain volume 1075 1068 1101 1341 1435 1026 T 1103 1201 1160 O score 101 96 92 B7 95 36 97 115 114 124 HH HE HH 1179 What are the null and alterative hypotheses? OB. Ho p=0 Hp > 0 OA. Hop#0 Hy: p=0 0 C. Họ P = 0 Hipo O D. Hy p=0 Hipo OD Construct a scatterplot. Choose the correct graph below OA AIO Score 130 - .. @ Ос. AIO Score 130 410 Son 130- Q 2010 seon . .. *>.>; B0- 80+ 900 an RO 900 1500 Bain Volume 900 1500 Bran volume 1500 Brain Ve 1500 Brain Volume The linear correlation coefficient is (Round to three decimal places as needed.) The P-value is 1 (Round to three decimal places as needed) Because the P-value is than the significance level 0.05, there suficient evidence to support the claim that there is a linear correlation between brain volumes (in cm) of twins and the corresponding IQ score for a significance level of a = 0.05. ? Click to select your answer(s) and then click Check Answer. Check Answer Clear All All parts showing 8:02

Answer 1

X Values 1009 965 1032 1027 1284 1275 1057 1073 1035 1074 ********* Y Values 96 89 88 88 102 102 102 97 128 127 101 96 92 87 95 86 97 115 114 1179 1075 1068 1101 1341 1435 1026 1103 1201 X Values Y - My -5.300 - 12.300 -13.300 - 13.300 0.700 0.700 0.700 X-My - 117.000 - 161.000 -94.000 -99.000 158.000 149.000 -69.000 -53.000 -91.000 -52.000 53.000 -51.000 -58.000 -25.000 215.000 309.000 - 100.000 -23.000 75.000 34.000 -4.300 26.700 25.700 -0.300 -5.300 -9.300 -14.300 -6.300 - 15.300 -4.300 13.700 12.700 22.700 (X-MJ2 13689.000 25921.000 8836.000 9801.000 24964.000 22201.000 4761.000 2809.000 8281.000 2704.000 2809.000 2601.000 3364.000 625.000 46225.000 95481.000 10000.000 529.000 5625.000 1156.000 (Y - My)2 28.090 151.290 176.890 176.890 0.490 0.490 0.490 18.490 712.890 660.490 0.090 28.090 86.490 204.490 39.690 234.090 18.490 187.690 161.290 515.290 (X - MX/Y - My) 620.100 1980.300 1250.200 1316.700 110.600 104.300 -48.300 227.900 -2429.700 - 1336.400 - 15.900 270.300 539.400 357.500 - 1354.500 -4727.700 430.000 -315.100 952.500 771.800 Result Details & Calculation Key X Values = 22520 Mean = 1126 (X - MX)2 = 55x = 292382 X: X Values Y Y Values My: Mean of x Values My Mean of Y Values X - My & Y - Mji Deviation scores (X-M& (Y - MyX: Deviation Squared (X - MX/Y - M): Product of Deviation Scores Y Values = 2026 Mean = 101.3 ETY - My)2 = SSy = 3402.2 X and Y Combined N = 20 (X - MX/Y - My) = -1296 R Calculation r = [(x - My/Y - Mx))/((55x)(sy)) r= -1296 / VI(292382)(3402.2)) = -0.0411 Meta Numerics (cross-check) r = -0.0411 The value of Ris -0.0411.

sol: - Null and Alternative hypothesis Ho: p=o HP 70 Scatter plot option -(A) is correct. Linear-correlation coefficient: 0 = -0.0411 ~ -0.042 Test statistics ta 0.042 - Why C-v) Vs 6-0428] -0.1784 P-value: degree of freedom idf)= n-2 = 20--2-18 P-value = =0.860 (from-t table ) conclusion: Because the p-value is greater than the significance level o.os there is not sufficient evidence to Support the claim that there is a linear correlation between brain volume and IQ score for a Significance level of 0.05.
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