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 neighborhood. A sample of six Denver neighborhoods Gave the following information (units in hundreds of jobs).

x 15 35 48 28 50 25

y 3 4 7 5 9 3

complete parts (a) through (e), given ∑x=201, ∑y=31, ∑x2=7663, ∑y2=189, ∑xy=1186, and r≈0,901.

a)draw a scatter diagram displaying the data

b) verify the given sums, ∑x, ∑y, ∑x2, ∑y2, ∑xy, and the value of the sample correlation coefficient r. ()round your value for r to three decimal value).

c) find the x-, and y- then find the equation of the least-squares line yˆ=a+bx. (round your answers for x- and y- to two decimal places. round your answers for a and b to three decimal places.)

e)find the value of the coefficient of determination r2. 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 r2 ro three decimal places. round your answers for the percentages to one decimal places.)

f) for a neighborhood with x=37 hundred jobs, how many are predicted to be entry level jobs? (round your answer to two decimal places.)

Answer 1

( a )

Scatter plot

( b )

( c )