STATS 110 Study Guide - Midterm Guide: Identity Matrix, Probability Plot, Projection Matrix
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There are 5 problems, with a total of 14 parts. Each part of each problem (a, b, etc) is worth 7 points, except problem 5a, which is worth 9 points. Problem 1. 28 on page 37 of your textbook describes data from 84 medium-sized counties in the us. For each county, x = percentage of adults in the county having at least a high-school diploma, and y = crime rate (crimes reported per 100,000 residents) last year. Here is stata output from fitting a simple linear regression model to the data: regress crimerate pcthsdiploma. Source | ss df ms number of obs = 84. Model | 93462942. 3 1 93462942. 3 prob > f = 0. 0001. Residual | 455273165 82 5552111. 77 r-squared = 0. 1703. Total | 548736108 83 6611278. 4 root mse = 2356. 3. Pcthsdiploma | -170. 5752 41. 57433 -4. 10 0. 000 -253. 2798 -87. 87061. _cons | 20517. 6 3277. 643 6. 26 0. 000 13997. 32 27037. 88. Write the population version of the regression model.
