1. An economist is interested in studying the relationship between length of unemployment and job seeking activity among whitecollar workers. He interviews a sample of 12 unemployed accountants about the number of weeks they have been Imemploy'ed (X) and the number of weeks they have been seeking a job during the past year {Y}. In addition to jobseeking activity, the researcher collected the age of all respondents {Z}. W Accountant U nem p. Seeking Age *23313' B T 3 42 E 5 4 36 D 12 2 4? E 1 5 29 F 111') 2 515 G 3 1 52 H ti 5 40 l 5 4 2? J 2 ti 31 K 3 ? 36 L 4 1 33 a. Compute a Pearson's correlation coefcient for le number of weeks unemployed (X) and weeks seeking a job (Y). Interpret the result. b. Next, nd the partial correlation of weeks employed and weeks seeking a job while \"controlling for\" the age of the worker. What do you conclude about the association between time spent unemployed (X) and time spent seeking a new job {Y} after factoring in the respondents' ages (2]