A personnel director is interested in studying the relationship (if any) between age and salary. Sixteen employees are randomly selected, and their ages and salaries are recorded.AgeSalary ($)5738,0002552,0004544,0002530,0005049,0004025,0002435,0005145,0004337,0003637,0002936,0002434,0002835,0001925,0005360,0004448,000 Step 1 of 3 :Plot the data points on a scatterplot.Step 2 of 3:Determine the correlation coefficient. Round your answer to two decimal places.Step 3 of 3Describe the relationship indicated by the correlation coefficient and the scatterplot.

The given paired observations for the "age" and "salary" are given as follows:AgeSalary ($)5738,0002552,0004544,0002530,0005049,0004025,0002435,0005145,0004337,0003637,0002936,0002434,0002835,0001925,0005360,0004448,000Part (1)Considering the variable "age" on the x-axis and the variable "salary" on the y-axis, the scatter plot is given as follows:Each of the blue dots represents the paired observation of age and corresponding salary value on (x,y) coordinate point. Part (2)Calculation table:Age; xSalary ($); y(x−x¯)(y−y¯)(x−x¯)2(y−y¯)2(x−x¯)(y−y¯)5738,00019.9375-1375397.50391890625-27414.06252552,000-12.062512625145.5039159390625-152289.06254544,0007.9375462563.003912139062536710.93752530,000-12.0625-9375145.503987890625113085.93755049,00012.93759625167.378992640625124523.43754025,0002.9375-143758.628906206640625-42226.56252435,000-13.0625-4375170.62891914062557148.43755145,00013.93755625194.25393164062578398.43754337,0005.9375-237535.253915640625-14101.56253637,000-1.0625-23751.12890656406252523.43752936,000-8.0625-337565.003911139062527210.93752434,000-13.0625-5375170.62892889062570210.93752835,000-9.0625-437582.128911914062539648.43751925,000-18.0625-14375326.2539206640625259648.43755360,00015.937520625254.0039425390625328710.93754448,0006.9375862548.128917439062559835.9375Total593630000002274.9381397750000961625The averages are calculated as follows:x¯=∑xn=59316=37.0625y¯=∑yn=63000016=39375The correlation coefficint is calculated as:r=∑(x−x¯)(y−y¯)∑(x−x¯)2×∑(y−y¯)2=9616252274.9375×1397750000≈0.54Part (3) In the scatter plot, from the visual inspection, the salary is observed to be increasing for the increase in the age value. As an increase (or decrease) in one variable (say age) is associated with the incraese (or decrease) other variables (say salary), a positive association between salary and age is interpreted.Moreover, from the calculated value of the correlation coefficient of r=0.54 is positive, this implies a positive nature of the association between age and salary. Further, as 0.50<rxy (=0.54)<0.70 (i.e., the rxy lies within 0.5 and 0.7), the relationship is considered to be moderately positive.(a) The scatter plot is :(b) The correlation coefficient value is r=0.54.(c) The scatter plot as well as the correlation coefficient value implies a moderately positive association between age and salary.