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estimate the following linear formulation using the table below: Y = a + b X and

ID: 3153737 • Letter: E

Question

estimate the following linear formulation using the table below:

Y = a + b X

and please use the estimated model to predict the value of Y when X is 50.

Y

X

161

46

205

63

301

97

115

30

251

81

89

25

290

94

159

52

46

21

259

88

212

64

301

98

174

54

149

42

130

42

249

79

297

95

229

66

109

59

129

47

212

65

200

67

180

57

303

97

231

73

225

71

138

42

138

42

270

86

192

60

Question 2 options:

157.37

155.25

158.39

151.95

Y

X

161

46

205

63

301

97

115

30

251

81

89

25

290

94

159

52

46

21

259

88

212

64

301

98

174

54

149

42

130

42

249

79

297

95

229

66

109

59

129

47

212

65

200

67

180

57

303

97

231

73

225

71

138

42

138

42

270

86

192

60

Explanation / Answer

Th regression equation is

y=a+bx

from Excel

The fitted Regression equation is

y=5.63+3.035(x)

when x=50

y=5.63+3.035(50)

y=157.37

SUMMARY OUTPUT Regression Statistics Multiple R 0.968091418 R Square 0.937200994 Adjusted R Square 0.934958173 Standard Error 17.76121161 Observations 30 ANOVA df SS MS F Significance F Regression 1 131820.5688 131820.6 417.8669 2.29E-18 Residual 28 8832.897865 315.4606 Total 29 140653.4667 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 5.630012506 9.959817308 0.565273 0.57639 -14.7717 26.03177 -14.7717 26.03177 X 3.034734432 0.148457345 20.44179 2.29E-18 2.730633 3.338836 2.730633 3.338836