+2.23/10 pointsI Previous Answers MIntroStat9 2.E.507 XP My Notes Ask Your Teach

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+2.23/10 pointsI Previous Answers MIntroStat9 2.E.507 XP My Notes Ask Your Teacher Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biological silicon, left by the skeletons of single-celled creatures called diatoms, measures the abundance of life in the lake. A rather complex variable based on the ratio of certain isotopes relative to ocean water gives an indirect measure of moisture, mostly from snow. As we drill down, we look farther into the past. Here are data from 2300 to 12,000 years ago: Isotope Silicon Isotope Silicon Isotope Silicon (96) (mg/g) | (96) (mg/g) , (%) (mg/g) 19.909920.7 1562163 226 19.84 10820.80 26521.63 237 -19.46 114-20.86 271-21.9 186 20.20 14321.28 298-19.37 337

Explanation / Answer

a)

weak neagtive corelation

b) single outlier is (-19.37,337)

r = 0.30468 with outlier

r = 0.779056198 without outlier

with outlier

without outlier

c) y^ = -460.62234 -32.23607447*x

SUMMARY OUTPUT Regression Statistics Multiple R 0.304684813 R Square 0.092832835 Adjusted R Square 0.002116119 Standard Error 80.25099136 Observations 12 ANOVA df SS MS F Significance F Regression 1 6590.451 6590.451 1.023327 0.335581 Residual 10 64402.22 6440.222 Total 11 70992.67 Coefficients Standard Error t Stat P-value Lower 95% Intercept -460.6223471 656.7534 -0.70136 0.499073 -1923.96 isotope -32.23607447 31.86655 -1.0116 0.335581 -103.239

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