We had five observations During this exercise the table with the results and presented in the Excel sheet . This table provided indicates the data associated with the handling time Agreed is the distance traveled in meters

Observation no.	Distance parcourue x	Temps de manutention y
1	32	63
2	34	72
3	30	66
4	54	104
5	59	79
6	32	68
7	30	64
8	54	89
9	39	79
10	34	99
11	74	116
12	29	59
13	34	69
14	64	119
15	54	114
16	39	68
17	64	123
18	42	84
19	52	96
20	48	98
21	62	117
22	56	110
23	32	55
24	64	110
25	49	80

a) Using the quantity obtained if at determine the regression equation

b) sends mentions that for a unit increase of 1 m in the distance traveled, the handling time should increase by approximately 23.88 centihours. is this statement correct?

C) the dispersion of handling time around the regression line is estimated by S^2 x/y=120.613. What is the sum of the squares of the differences between the observed values and Y and the estimates Y

d) Can we affirm at the risk of being wrong once out of 100 that the rate of variation of the average handling time in the interval of the distance observed during this study is two hundred hours / meter justify your conclusion

e) a manager of the company asks himself the following question if we do not take into account the distance traveled Kserei according to the data collected a good estimate of the average handling time specified in the value

f) The smaller the variance of b1, the better the precision in estimating the parameter beta 1 is this a correct statement? discuss

g) can we consider at the 1% significance level that there is a linear link between the handling time and the distance traveled formulate the statistical hypotheses that we want to test and perform the appropriate statistical test H) what percentage of variation in handling time remains unexplained by the regression line?