Suppose we estimate the regression coefficients in a linear regression model by minimizing begin inline style sum from i equals 1 to n of end style open parentheses y subscript i minus beta subscript 0 minus sum from j equals 1 to p of beta subscript j x subscript i j end subscript close parentheses squared subject to begin inline style sum from j equals 1 to p of end style vertical line beta subscript j vertical line less or equal than s for a particular value of s. As we increase s from 0, the training RSS will .

At which value in the domain does f(x) =0?

If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)