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Correlation & Regression: By choosing two possible explanatory variables from a data set, and determine whether they are significantly correlated with the response variable. o

Correlation & Regression: By choosing two possible explanatory variables from a data set, and determine whether they are significantly correlated with the response variable.

o Response variable: baby's birthweight

o Other variables: mother's age, # of cigarettes smoked daily by mother, mother's height, length of gestation, father's age, father's height, and # of cigarettes smoked daily by father

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\fSteps 1. Choose your data set 2. Choose 2 variables from the "other" list. 3. For each "other" variable you choose a. Create a scatterplot with the response variable (recommended tools: Desmos. Excel. Google Sheets) b. Find its correlation with the response variable (r) 4. If r > 0.1. test the significance of the correlation with a t-test a. State your null and alternative hypotheses i. Hi - there is no correlation between variables p = 0 ii. H - there is correlation between variables p # 0 b. The calculations for calculated c. Your critical d. A conclusion

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