Foreman at a large plant
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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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?
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.
Given the amount of money and effort that you have spent on your education, you wonder if it was (is) all worth it. You therefore collect data from the Current Population Survey (CPS) and estimate a linear relationship between earnings and the yea
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
Consider two random variables with standard deviation 1.60 and 3.90. The correlation between the two random variables is equal to -0.45. The covariance is equal to:
A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has been frequently failing and requiring repairs and service.
An agricultural experimenter, investigating the effect of the amount of nitrogen x applied in 45 kg per hectare on the yield of oats y measured in 35 litres per hecrare, collected the following data:
Consider two random variables with standard deviations equal to 1.5 and 2.1. The standard deviation of the average of these two variables is equal to 1.7. The covariance is then equal to:
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