2. These results come from the tscores_05.dta data set you used in your problem set. Below is a regression of school level test scores (tscores) on the percent of students in the school that are eligible for free meals (pfmeals). a. Interpret the coefficient on pfmeals (mathematically and statistically). b. Do you think the coefficient on the percent of students in the school that are eligible for free meals (pfmeals) is the "right" coefficient (i.e., is it unbiased or causal)? Why or why not? c. Calculate the Residual Sum of Squares. • reg tscore pfmeals Source df MS Number of obs 4,889 F(1, 4887) 12921.42 Model 288035.863 1 288035.863 Prob > F 0.0000 Residual 4,887 22.2913505 R-squared Adj R-squared 0.7255 Total 396973.693 4,888 81.2139307 Root MSE 4.7214 tscore Coef. Std. Err. P>|t| [95% Conf. Interval]
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please ASAP in part a , b and c
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