A project manager at System Design Corporation has collected the following data

Question

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

Explanation / Answer

S

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

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