Question

An economist is studying the job market in Denver area ne ghborhocds. Letx 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 sx Derver neighborhoods gave the following information (units in hundreds of jabs). Complete parts(8) through (e), given ??-198, ??-29, ??2-7640, Xy2-169,Ery-1 103, and ,#0.818. a) Draw a scatter diagram displaying the date 1. Selact an object from the Tools menu to ???? left. 2. Entor coorcinatos n Object Properties below, or use the mose to place ??nd move objects To onter a fractional or Object Properties. View our tutorial videos elact a Toal or Objocl to Begi tool (b) Verry the given sums ??, ??, ??2, ??2. ???, and the value of the samole correlation coefficient r. (Round your value for r to tree decimal places.) 2x-198 2 7840 Sr2-169 ???- 1103 -0818 = a + br.( Round your answers for x and y to two dedmal places. Round your answers for a and D to three decimal places.) (c) Fnd x, and y. Then find the equatlon of the least-squares line x= 33.00 4.83 -0477 0.132

Answer 1

From part c)

We have intercept = 0.477 > 0 so that option 2 is not correct.

And slope = 0.132 > 0 that is slope is positive so that option 1 and 4 is not correct

Therefore correct option is 3

let's use excel to find the value of r

first enter the given dataset in excel columns

r = "=CORREL(range of x, Range of y)" = 0.817575

therefoure r² = 0.817575² =0.6684

Explained = 66.8 %

Unexplained = 33.2 %

f) The regression line of y on x is:

y = 0.477 + 0.132 *x

Plug x = 30 in the above equation so we get

y = 0.477 + 0.132 * 30 = 4.437 = 4.44 (rounding upto two decimal places)