Question

PLEASE HELPP!!! THANKS SM!

When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone 1 (in mm) were collected and are in the table. Find the correlation coefficient and coefficient of determination and then interpret both. Data of Metacarpal versus Height Length of Height of Metacarpal Person (mm) (cm) 41 161 47 172 40 165 49 178 44 172 50 179 42 170 45 172 46 164 The correlation coefficient is (round to five decimal places), which is a Select an answer Select an answer correlation. The coefficient of determination is r2. (round to four decimal places), so % of the variability in the height of a person is explained by the length of the metacarpal Check Answer o BI a -

Answer 1

The correlation coefficient r = 0.79057, which is a strong, positive correlation.

The coefficient of determination r² = 0.6250, so 62.50% of the variability in the height if person is explained by the length of the metacarpal.

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.79057 0.6250 0.5714 3.9956 9 ANOVA df Significance F 0.0112 1 Regression Residual Total SS MS F 186.2489 186.2489 11.6665 111.7511 15.9644 298.0000 7 8 Intercept length of the metacarpal Coefficients Standard Error 108.0963 18.2699 1.3865 0.4059 t Stat 5.9166 3.4156 P-value 0.0006 Lower 95% Upper 95% 64.8949 151.2978 0.4266 2.3463 0.0112