rorm A EmpliD Problem # 4 (12 points) The following scatter plot illustrates the

Question

rorm A EmpliD Problem # 4 (12 points) The following scatter plot illustrates the association between College Attainment (percent of 25+ year olds with a BA or higher degree) and Median Hourly Wage (in $) measured for the 50 States in 2013. (Available at: www.bls.Rov/oes/current/oessrcst.htm) 20.00- 18.00 6.00 12.00 College Attainment, in % of 25+ year olds with BA or higher 2 points) a. What does each dot in this scatter plot represent? b. In this model, the explanatory variable is (2 points) and the response variable is c. Circle a reasonable estimate for the value of the correlation coefficient r in this mode ll)-0.655 lli) 1.35 n) 0.702 1) 0.135 (3 points Give reason(s) for your choice.

Explanation / Answer

Ans:

a)Each point in scatterplot shows the observed values (x,y),where x is explanatory variable and y is the response variable.

b)Exlanatory variable is college attainment,in % of 25+ yrs old with BA or higher(x)

Response variable is median hourly age(y)

c)r=0.702 (as, positive slope and association seems to have medium strength)

Option IV is correct.

d)slope=0.29

change in y=slope*change in x

=1.05*0.29=0.3045 (increase)

d)when x=23

y'=8.79+0.29*23=15.46

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