A project manager at System Design Corporation has collected

A project manager at System Design Corporation has collected the following data on the size of software programs and the length of programming time. The company is bidding on a new system that is estimated to consist of 250000 lines of code. Please use the data below to find the functional relationship of the coding time to the program size and estimate the number of days it would take to code the new system. Plot a histogram of module size in this program.

Size in 1000

Lines of code

(KLOC)

Number of days

to code

Module	Size in 1000 Lines of code (KLOC)	Number of days to code
1	160	68
2	158	66
3	148	70
4	135	59
5	178	72
6	170	68
7	158	64
8	138	65
9	200	70
10	195	68
11	189	65
12	173	68
13	159	70
14	163	71
15	150	66
16	140	65
17	206	73
18	144	64
19	157	70
20	183	74
21	195	75
22	190	77
23	182	69
24	152	65
25	174	69

Sol) The regression regression equation is

y=a+bx

where x is size and y is code

From excel

The fitted regression is y=46.42 + 0.1312 (Size)

Now when size is 250

Then y = 46.42 + 0.1312 (Size) =46.42 + 0.1312 (250)

y=79.22

	Coefficients	Standard Error	t Stat
Intercept	46.41989	5.041618	9.207339
size	0.131166	0.029815	4.399341

A project manager at System Design Corporation has collected the following data on the size of software programs and the length of programming time. The company

A project manager at System Design Corporation has collected

Solution

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Module	Size in 1000 Lines of code (KLOC)	Number of days to code
1	160	68
2	158	66
3	148	70
4	135	59
5	178	72
6	170	68
7	158	64
8	138	65
9	200	70
10	195	68
11	189	65
12	173	68
13	159	70
14	163	71
15	150	66
16	140	65
17	206	73
18	144	64
19	157	70
20	183	74
21	195	75
22	190	77
23	182	69
24	152	65
25	174	69

Module	Size in 1000 Lines of code (KLOC)	Number of days to code
1	160	68
2	158	66
3	148	70
4	135	59
5	178	72
6	170	68
7	158	64
8	138	65
9	200	70
10	195	68
11	189	65
12	173	68
13	159	70
14	163	71
15	150	66
16	140	65
17	206	73
18	144	64
19	157	70
20	183	74
21	195	75
22	190	77
23	182	69
24	152	65
25	174	69

Module	Size in 1000 Lines of code (KLOC)	Number of days to code
1	160	68
2	158	66
3	148	70
4	135	59
5	178	72
6	170	68
7	158	64
8	138	65
9	200	70
10	195	68
11	189	65
12	173	68
13	159	70
14	163	71
15	150	66
16	140	65
17	206	73
18	144	64
19	157	70
20	183	74
21	195	75
22	190	77
23	182	69
24	152	65
25	174	69