we would like to develop a regression model to predict the average time it takes to process a given number of invoices. Over a 30-day period, data is collected on the number of invoices processed and the total time taken (in hours).

there is n = 30 observations.

few rows (number of invoices, time in hours) of the datasets are : day 1 (149, 2.1) ; day 2 (60, 1.8) ; day 3 (188, 2.3) ; day 4 (23, 0.8) ; day 5 (201, 2.7) ; day 6 ( 58, 1.0)

we have sum (x) = 3901 ; sum (x) = 669627 ; sum (y) = 63,3 ; sum (y) = 157,31 ; sum (x*y) = 10064,5

i - Calculate the Pearson statistic between the number of invoices and the processing time.

ii - Describe the association between the number of invoices and the processing time. (Describe orientation, shape, and intensity.)

we have the following from R (with x = number of invoices and y = time in hours)

O 4 3 2 o 00 I 80 50 100 150 200 250