Question

An economist is studying the job market in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry level jobs in the same neighborhoodA sample of shx Denver neighborhoods gave the following information (units in hundreds of jobs) x 14 218 33 49 5025 5 Complete parts (a) through (e), given Zx-199, Ey26, -7595, y-150, xy-1023, and r 0.834. (a) Draw a scatter diagram displaying the data nasenens Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verity the given sums Ex, Ey, E, Xy, Exy, and the value of the sample correlation coefficient r. (Round your value forr to three decimal places.) x- Ex- Ty Exy (Round yur answes for x ad y to two decmal places Round your awers for a and & to three decimal places aeb (c) Find x, and y Then find the eguation of the least squares ine (d) Graph the least squares fne. e sure to plot the point (x, y) aa post on the ine 10 10 920 PM

Answer 1

The following scatter plot is obtained based on the data provided: Scatter plot 9,20 8.20 7.20 6.20 5.20 4.20 3.20 2.20 1.20 0.28.40 15.40 20.40 25.40 30.40 35.40 40.40 45.40 50.40 X

elassmate Data Page Ahs Gaiven dlata. 50 25 28 14 33 49 3 3 Ca) Ssatter diagram Yenfy the gixen. Cb) sum 2 X2 Xy- 196 14 14 1089 23 99 25 401 245 子84 40 25 22 2500 450 og 75 626 2 25 2x2-695 IG0 ΣメYに lo23 Sum 199 N-26 Sxx Sy Now SxystE Zxiyi- Sxx= h 2- Sy provideo this case bared Sxy 023- 199x 26 ): 160.667 SpKD 759 5- data an the 9g4.833 37. 333 so-

cIASSMAte pate Page The coxne lation cocciernt iscompuked. as 160.664 Sxy 0.834 g94.833x 37.333 Ey 26 Ex2 = 7595 도2 O 1623 Exy O.834 199 33167 33 16.67 26 4.333 4.333 To Fit reqenon_madel. O.1615 Cav Cx,y) Var (x) 60.667 9g4.833 B 4.333 Co 16 15) (33 164.) -1. 0264 -1. o26 + o. 16IS X. (x,T 33.167, 4.333 Ahs-B 33-16, 4:323T + Su X 30 20

classmate Date Page (e) Coefficient af deter mination = (0. E34) o.6955 O.696 explained Onexplained -69.6 30.4 % 9.6% - 36 then 1.026+ o.1615 ( 35) -4.626S S i = 4. 6 3.