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

ID: 3225100 • Letter: A

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. Use the data to find the correlation function of coding time to the program size and estimate the number of days it would take to code the system.

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

Explanation / Answer

Resuls of regression analyssi are as follows from where we have the estimated regression equation to estimate the number of days it would take to code the system as

Number of days to code=46.42 + 0.13 *(Size in 1000 lines of code (KLOC))

Coefficients Standard Error t Stat P-value Intercept 46.41989189 5.041618433 9.207339372 3.54641E-09 Size in 1000 lines of code (KLOC) 0.131165762 0.029814863 4.399341396 0.000208073
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