Need help solving 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 neighborhood. A sample of six Denverneighborhoods gave the following information (units in hundreds of jobs).X 15 30 52 28y 2y (number of entry-level jobs (in hundreds))Complete parts (a) through (d), given the following sums: Ex=200, y = 27, Ex² = 7738, Ey² = 153, Exy = 1045. And the given correlation, r = 0.7893.(a) Draw a scatter diagram displaying the data.of entry-level jobs (in hundreds))50215 20 2545403528 5050 253 5 59 33025303540x (total number of jobs (in hundreds))4550y (number of entry-level jobs (in hundreds))5045r of entry-level jobs (in hundreds))403530252015237 8456x (total number of jobs (in hundreds))@ (b) Find x, and y, the sample means. Then find the equation of the least-squares line ý = a + bx. (Round your answers to four decimal places.)X =y =ŷ(d) Find the value of the coefficient of determination 2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?(Round your answer for 2 to four decimal places. Round your answers for the percentages to two decimal places.)2-explainedunexplained%%(d) For a neighborhood with x = 33 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.)hundred jobs

The paired observations of the "total number of jobs in the neighborhood" and "total number of…

Answered: (b) Find x, and y, the sample means.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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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 neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). x 16 33 50 28 50 25 y 2 3 6 5 9 3 Draw a scatter diagram displaying the data. You do not need to share your diagram. Verify the given sums∑x=202, ∑x2=7754, ∑y=28, ∑y2=164, and ∑xy=1096 Find a and b. Then find the equation of the least-squares line yˆ=a+bx. For a neighborhood with x=40 jobs, how many are predicted to be entry-level jobs?

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