STATS 401 Study Guide - Midterm Guide: Dot Product, Cross Product, Simple Linear Regression
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Due in lab, wednesday, april 14th: the following table contains partial output from a simple linear regression: Solution: sd( ) = 1. 44/7. 4 = 0. 19, thus the test statistic is 0. 7/0. 19 = 3. 68, which is signi cant as a two-sided test statistic based on your quantile table. Solution: f = 27/2. 1 = 12. 9 on 1,4 df, so from your table you can see that the. Rounded to two digits, the exact p-value is 0. 023. (e) con rm directly that. X i (yi yi)( yi y ) = 0. Solution: sum the third column of this table, you will get zero (approximately, due to rounding). ri. 1: find any nonzero vector v that is perpendicular to u : Solution: we need to nd a vector v such that the matrix vector product is zero. Begin with the rows having no unknown values (i. e. rows 1,2,3 and 5) and try to nd.
