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Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education (< 12; 12) to the average mean log income for any college education (13 15; 16;> 16).
1. Write out the linear combination of means we are after in terms of s. Be sure to include all groups to explicitly show work.
2. What are the coefficients of the linear combination in (1)? (i.e. What are the C's)
3. Write out the estimator of the linear combination (g)
4. Obtain an estimate using the group averages directly.
5. Calculate the SE of the estimate using the Display 6.4. 6. Construct a 94% confidence interval for the linear combination.
The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to
Let X 1 and X 2 be two independent populations with population means μ 1 and μ 2 respectively. Two samples are taken, one from each population, of sizes n 1 and n 2 re
Correlation The correlation is commonly used and a useful statistic used to describe the degree of the relationships between two or more variables. Pearson's correlation refle
Betting on sporting events is big business both in the US and abroad. Consider, for instance, next winter’s American football tournament known as the Superbowl. Billions of dollars
Root Mean Square Deviation The standard deviation is also called the ROOT MEAN SQUARE DEVIATION. This is because it is the ROOT (Step 4) of the MEAN (Step 3) o
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