Question: I am having trouble determining r for person correlation coefficient and the 95% CI for upper and lower. I think my initial answers are incorrect
I am having trouble determining r for person correlation coefficient and the 95% CI for upper and lower. I think my initial answers are incorrect and the answers I got from r-studio are different from my initial answers. I would like to varify that the correct answer is actually Upper=0.606 and lower is 0.922




Does learning a second language change brain structure? Mechelli et al. (2004) tested 22 native Italian speakers who had learned English as a second language. Proficiencyes in reading writing, and speech were assessed using a number of tests whose results were summarized by a proficiency score. Gray- matter density was measured in the left inferior parietal region of the brain using a neuroimaging technique. The data from this study are given in the file 'LanguageGreyMatter.csv'. Based on this file, Pearson's correlation coefficient between gray-matter density and second language proficiency is r = 0.818 and the lower 95% confidence limit is 0.182 while the upper 95% confidence limit is 0.561 Round your answer to three (3) decimal places.proficiency Igreymatter 2 0.26 -0.07 0.44 -0.08 0.89 -0.008 5 1.26 -0.009 1.69 -0.023 7 1.97 -0.009 1.98 -0.036 9 2.24 -0.029 10 2.24 -0.008 11 2.58 -0.023 12 2.5 -0.006 13 2.75 -0.008 14 3.25 -0.006 15 3.85 0.022 16 3.04 0.018 17 2.55 0.023 18 2.5 0.022 19 3.11 0.036 20 3.18 0.05922 3.59 0.049 23 3.4 0.033cor . test (X=LanguageGreyMatter$greymatter, y=LanguageGreyMatterSproficiency) Pearson's product-moment correlation data: LanguageGreyMatterSgreymatter and LanguageGreyMatterSproficiency t = 6. 3671, df = 20, p-value = 3.264e-06 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0. 6056638 0. 9218696 sample estimates : cor 0. 8183134
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