Question

Consider the following data: X1 X2 X3 X4 Y 151.6 31.1 -19 3 577.0264 155.7 36 9 6.677 675.2646 106.5 38.4 -6 3.577 424.9622 107.6 42.8 -26 4.069 391.1871 108.6 40.3 -18 4.138 372.427 115 43.9 -3 1.633 385.1081 118.5 48.6 21 9.906 537.3891 117.8 47.2 22 -0.278 451.3901 120.1 49.9 30 -0.355 396.463 119.5 53.7 -21 10.607 512.4966 125.6 56.2 -31 4.826 255.8483 125.1 58 18 9.596 455.1125 128.5 58.4 -17 17.088 572.7778 126.2 62.5 2 7.829 422.7848 129.2 63.2 -30 8.676 384.455 128.8 63.3 -1 19.201 586.1285 133.9 67.9 1 0.814 333.2119 140 65.4 -2 16.037 389.3192 138 69.9 -11 4.143 294.3472 138.1 71.4 11 14.334 349.0291 144.1 72.4 29 19.48 507.1169 (a) Fit a multiple linear regression model to these data. Round Î²^0 to the nearest integer (e.g. 9876). Round other coefficients to two decimal places (e.g. 98.76). Enter negative coefficients as negative numbers. y^= Enter your answer; constant + Enter your answer; _ x1 x1+ Enter your answer; _ x2 x2 + Enter your answer; _ x3 x3+ Enter your answer; _ x4 x4 Estimate Ïƒ2. Round your answer to the nearest integer (e.g. 9876). Ïƒ^2= Enter your answer; sigma^2 (b) Test for the significance of regression using Î±=0.05. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765). P-value= Enter your answer in accordance with the item b) of the question statement (c) Use the t-test to assess the contribution of each regressor to the model. Using Î±=0.1, and Î±=0.02 what conclusions can you draw? What is the P-value for these tests? t0, to two decimal places P-value, to three decimal places Î±=0.1 Î±=0.02 Î²1 Enter your answer; t0 for beta1 Enter your answer; P for beta1 Coefficient Choose your answer; Coefficient beta1 _ statistically significant at alpha=0.1 is not statistically significant. Coefficient Choose your answer; Coefficient beta1 _ statistically significant at alpha=0.02 is not statistically significant. Î²2 Enter your answer; t0 for beta2 Enter your answer; P for beta2 Coefficient Choose your answer; Coefficient beta2 _ statistically significant at alpha=0.1 is not statistically significant. Coefficient Choose your answer; Coefficient beta2 _ statistically significant at alpha=0.02 is not statistically significant. Î²3 Enter your answer; t0 for beta3 Enter your answer; P for beta3 Coefficient Choose your answer; Coefficient beta3 _ statistically significant at alpha=0.1 is not statistically significant. Coefficient Choose your answer; Coefficient beta3 _ statistically significant at alpha=0.02 is not statistically significant. Î²4 Enter your answer; t0 for beta4 Enter your answer; P for beta4 Coefficient Choose your answer; Coefficient beta4 _ statistically significant at alpha=0.1 is not statistically significant. Coefficient Choose your answer; Coefficient beta4 _ statistically significant at alpha=0.02 is not statistically significant.

          Consider the following data:
X1
X2
X3
X4
Y
151.6
31.1
-19
3
577.0264
155.7
36
9
6.677
675.2646
106.5
38.4
-6
3.577
424.9622
107.6
42.8
-26
4.069
391.1871
108.6
40.3
-18
4.138
372.427
115
43.9
-3
1.633
385.1081
118.5
48.6
21
9.906
537.3891
117.8
47.2
22
-0.278
451.3901
120.1
49.9
30
-0.355
396.463
119.5
53.7
-21
10.607
512.4966
125.6
56.2
-31
4.826
255.8483
125.1
58
18
9.596
455.1125
128.5
58.4
-17
17.088
572.7778
126.2
62.5
2
7.829
422.7848
129.2
63.2
-30
8.676
384.455
128.8
63.3
-1
19.201
586.1285
133.9
67.9
1
0.814
333.2119
140
65.4
-2
16.037
389.3192
138
69.9
-11
4.143
294.3472
138.1
71.4
11
14.334
349.0291
144.1
72.4
29
19.48
507.1169

(a) Fit a multiple linear regression model to these data.
Round Î²^0 to the nearest integer (e.g. 9876). Round other
coefficients to two decimal places (e.g. 98.76).
Enter negative coefficients as negative numbers.
y^= Enter your answer; constant + Enter your answer; _ x1 x1+
Enter your answer; _ x2 x2
+ Enter your answer; _ x3 x3+ Enter your answer; _ x4 x4

Estimate Ïƒ2.
Round your answer to the nearest integer (e.g. 9876).
Ïƒ^2= Enter your answer; sigma^2

(b) Test for the significance of regression using Î±=0.05. What
is the P-value for this test?
Round your answer to three decimal places (e.g. 98.765).
P-value= Enter your answer in accordance with the item b) of the
question statement

(c) Use the t-test to assess the contribution of each
regressor to the model. Using Î±=0.1, and Î±=0.02 what conclusions
can you draw? What is the P-value for these tests?
t0,
to two decimal places
P-value,
to three decimal places
Î±=0.1
Î±=0.02
Î²1
Enter your answer; t0 for beta1
Enter your answer; P for beta1
Coefficient Choose your answer; Coefficient beta1 _
statistically significant at alpha=0.1     
              
            
              
         is not statistically
significant.
Coefficient Choose your answer; Coefficient beta1 _
statistically significant at alpha=0.02     
              
            
              
         is not statistically
significant.
Î²2
Enter your answer; t0 for beta2
Enter your answer; P for beta2
Coefficient Choose your answer; Coefficient beta2 _
statistically significant at alpha=0.1     
              
            
              
         is not statistically
significant.
Coefficient Choose your answer; Coefficient beta2 _
statistically significant at alpha=0.02     
              
            
              
         is not statistically
significant.
Î²3
Enter your answer; t0 for beta3
Enter your answer; P for beta3
Coefficient Choose your answer; Coefficient beta3 _
statistically significant at alpha=0.1     
              
            
              
         is not statistically
significant.
Coefficient Choose your answer; Coefficient beta3 _
statistically significant at alpha=0.02     
              
            
              
         is not statistically
significant.
Î²4
Enter your answer; t0 for beta4
Enter your answer; P for beta4
Coefficient Choose your answer; Coefficient beta4 _
statistically significant at alpha=0.1     
              
            
              
         is not statistically
significant.
Coefficient Choose your answer; Coefficient beta4 _
statistically significant at alpha=0.02     
              
            
              
         is not statistically
significant.

Added by David F.

Question

Please give Ace some feedback