Question regarding the explanatory variable
Indicate in a scatterplot what the data for your dependent variable and your explanatory variable would look like in a regression with an R2 equal to zero. How would this change if the regression R2 was equal to one?
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Imagine that you had discovered a relationship that would generate a scatterplot very similar to the relationship Yi = Xi^2 , and that you would try to fit a linear regression through your data points.
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Prove that the regression R2 is identical to the square of the correlation coefficient between two variables Y and X. Regression functions are written in a form that suggests causation running from X to Y. Given your proof, does a high regression
The foreman at a large plant estimates that there are defective parts about 1% of the time. If the plant produces 20,000 parts in a week, what is the variance for the number of defective parts?
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