Mathematics, 15.02.2021 20:10 isaac7454
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 (mg/g) Isotope (%) Silicon (mg/g) Isotope (%) Silicon (mg/g)ā19.90 99 ā20.71 152 ā21.63 222ā19.84 108 ā20.80 263 ā21.63 233ā19.46 116 ā20.86 267 ā21.19 184ā20.20 141 ā21.28 294 ā19.37 339(a) Make a scatterplot of silicon (response) against isotope (explanatory).Ignoring the outlier, describe the direction, form, and strength of the relationship. The researchers say that this and relationships among other variables they measured are evidence for cyclic changes in climate that are linked to changes in the sun's activity. weak positive associationmoderate positive associationstrong positive associationweak negative associationmoderate negative associationstrong negative association(b) Find the single outlier in the data. This point strongly influences the correlation. What is the correlation with this point? (Round your answer to two decimal places.)What is the correlation without this point? (Round your answer to two decimal places.)(c) Is the outlier also strongly influential for the regression line? Calculate the regression line with the outlier. (Round your slope to two decimal places, round your y-intercept to one decimal place.)y = ā x Calculate the regression line without the outlier. (Round your slope to two decimal places, round your y-intercept to one decimal place.)y = ā x Draw on your graph the two regression lines.
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Drilling down beneath a lake in Alaska yields chemical evidence of past changes in climate. Biologic...
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