TABLE 4 F DISTRIBUTION Area or probability Entries in the table give F values where α 1s the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom. 8 denominator degrees of freedom, and a .05 area in the upper til, Fs 3.84. Denominat tor Degrees of Freedom Numerator Degrees of Freedom Tai 15 10 60 100 9864950 5359 55.83 57.24 58.20 58.9 5944 5986 60.19 61.22 61.74 62.05 62.26 62.53 62.79 630 63.30 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.88 245.95 248.02 2匉.26 250.10 251.14 252.20 253.04 254.19 025 647.79 9948 64.15 89960 92183 37.948.20 95664 963.28 96863 98487 993.08 998.09 100140 1005.60 1009.79 1013.16 1017.76 01 4052.18 4999.34 5903.53 5624.26 5763.96 5858.95 5928.33 5980.95 6022.40 6055.93 6156.97 6208.66 6239.86 626035 6286.43 6312.97 6333.92 636280 9.38 949 1851 19.00 9.16 19.25 1930 19.33 19.35 19.37 19.38 1940 1943 19,45 1946 1946 19,47 1948 1949 1949 385 39.00 39.17 39.25 39.3039.33 39.36 3937 39.39 3940 3943 39,45 3946 3946 39.47 3948 3949 3950 98.50 99.00 99.16 99.25 99.30 9933 99.36 99.38 99.39 9940 9943 99.45 9946 99.47 99.48 9948 9949 99.50 8.53 9.00 9.29 9.37 9.39 942 946 948 9.24 9.35 945 947 025 5.39 9.28 5.28 8.94 5.27 8.89 5.24 5.23 8.79 5.20 8.70 5.18 10.13 1744 1604 5.44 5.10 1488 14.7314.62 14.54 14.47 442 14.251417 4.12 1408 14.04 13.99 13.96 13.91 34.12 3082 2946 28.71 28.24 27.9 277 2749 27.34 27.23 2687 2669 26.58 26.50 26.41 26.32 2624 26.14 8.63 8.62 8.59 8.57 8.55 8.85 4.54 7.7 3.98 609 3.95 6.04 3.94 6.00 8.90 3.92 5.96 3.83 3.79 569 8.36 3.8413.75 1365 13.58 13.47 3.78 5.66 3.76 5.72 5.80 8.56 6.26 5.75 6.94 12.22 105 6.59 5.86 8.50 21.20 18.00 1669 15.98 5.52 5. 4.98 14.80 14.66 14.55 4.20 14.02 3.91 01 i0 05 3.324 3.21 4.56 6.33 9.55 4.52 6.27 945 4.50 6.23 9.38 4.46 443 10.0 6,26 3.27 2.06 39 10.97 1067 1046 09 0,16 10,05 6,76 6,08 9.29 01 9.20

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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100%

Following is a portion of the computer output for a regression analysis relating y = maintenance expense (dollars per month) to x = usage (hours per week) of a particular brand of computer terminal.


The regression equation is
Y = 6.1092 + .8951 X
Predictor Coef SE Coef  
Constant 6.1092 0.9361  
X 0.8951 0.1490  
Analysis of Variance
SOURCE DF SS MS
Regression 1 1575.76 1575.76
Residual Error 8   349.14     43.64
Total 9 1924.90  

  1. Complete the estimated regression equation (to 4 decimals).
     =  +  x 

  2. Use a t test to determine whether monthly maintenance expense is related to usage at the .05 level of significance.

    Compute the value of the t test statistic (to 2 decimals).
     

    What is the p-value? Use Table 1 of Appendix B.
    Selectless than .01between .01 and .02between .02 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 4 

    What is your conclusion?
    SelectConclude that monthly maintenance expense is related to usageCannot conclude that monthly maintenance is related to usageItem 5 

  3. Use the estimated regression equation to predict monthly maintenance expense for any terminal that is used 25 hours per week (to 2 decimals).
TABLE 4
F DISTRIBUTION
Area or
probability
Entries in the table give F values where α 1s the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom.
8 denominator degrees of freedom, and a .05 area in the upper til, Fs 3.84.
Denominat tor
Degrees
of Freedom
Numerator Degrees of Freedom
Tai
15
10
60
100
9864950 5359 55.83 57.24 58.20 58.9 5944 5986 60.19 61.22 61.74 62.05 62.26 62.53 62.79 630 63.30
161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.88 245.95 248.02 2匉.26 250.10 251.14 252.20 253.04 254.19
025 647.79 9948 64.15 89960 92183 37.948.20 95664 963.28 96863 98487 993.08 998.09 100140 1005.60 1009.79 1013.16 1017.76
01 4052.18 4999.34 5903.53 5624.26 5763.96 5858.95 5928.33 5980.95 6022.40 6055.93 6156.97 6208.66 6239.86 626035 6286.43 6312.97 6333.92 636280
9.38
949
1851 19.00 9.16 19.25 1930 19.33 19.35 19.37 19.38 1940 1943 19,45 1946 1946 19,47 1948 1949 1949
385 39.00 39.17 39.25 39.3039.33 39.36 3937 39.39 3940 3943 39,45 3946 3946 39.47 3948 3949 3950
98.50 99.00 99.16 99.25 99.30 9933 99.36 99.38 99.39 9940 9943 99.45 9946 99.47 99.48 9948 9949 99.50
8.53
9.00
9.29
9.37
9.39
942
946
948
9.24
9.35
945
947
025
5.39
9.28
5.28
8.94
5.27
8.89
5.24
5.23
8.79
5.20
8.70
5.18
10.13
1744 1604 5.44 5.10 1488 14.7314.62 14.54 14.47 442 14.251417 4.12 1408 14.04 13.99 13.96 13.91
34.12 3082 2946 28.71 28.24 27.9 277 2749 27.34 27.23 2687 2669 26.58 26.50 26.41 26.32 2624 26.14
8.63
8.62
8.59
8.57
8.55
8.85
4.54
7.7
3.98
609
3.95
6.04
3.94
6.00
8.90
3.92
5.96
3.83
3.79
569
8.36
3.8413.75 1365 13.58 13.47
3.78
5.66
3.76
5.72
5.80
8.56
6.26
5.75
6.94
12.22 105
6.59
5.86
8.50
21.20 18.00 1669 15.98 5.52 5. 4.98 14.80 14.66 14.55 4.20 14.02 3.91
01
i0
05
3.324 3.21
4.56
6.33
9.55
4.52
6.27
945
4.50
6.23
9.38
4.46
443
10.0
6,26 3.27 2.06 39 10.97 1067 1046 09 0,16 10,05
6,76
6,08
9.29
01
9.20
Transcribed Image Text:TABLE 4 F DISTRIBUTION Area or probability Entries in the table give F values where α 1s the area or probability in the upper tail of the F distribution. For example, with 4 numerator degrees of freedom. 8 denominator degrees of freedom, and a .05 area in the upper til, Fs 3.84. Denominat tor Degrees of Freedom Numerator Degrees of Freedom Tai 15 10 60 100 9864950 5359 55.83 57.24 58.20 58.9 5944 5986 60.19 61.22 61.74 62.05 62.26 62.53 62.79 630 63.30 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.88 245.95 248.02 2匉.26 250.10 251.14 252.20 253.04 254.19 025 647.79 9948 64.15 89960 92183 37.948.20 95664 963.28 96863 98487 993.08 998.09 100140 1005.60 1009.79 1013.16 1017.76 01 4052.18 4999.34 5903.53 5624.26 5763.96 5858.95 5928.33 5980.95 6022.40 6055.93 6156.97 6208.66 6239.86 626035 6286.43 6312.97 6333.92 636280 9.38 949 1851 19.00 9.16 19.25 1930 19.33 19.35 19.37 19.38 1940 1943 19,45 1946 1946 19,47 1948 1949 1949 385 39.00 39.17 39.25 39.3039.33 39.36 3937 39.39 3940 3943 39,45 3946 3946 39.47 3948 3949 3950 98.50 99.00 99.16 99.25 99.30 9933 99.36 99.38 99.39 9940 9943 99.45 9946 99.47 99.48 9948 9949 99.50 8.53 9.00 9.29 9.37 9.39 942 946 948 9.24 9.35 945 947 025 5.39 9.28 5.28 8.94 5.27 8.89 5.24 5.23 8.79 5.20 8.70 5.18 10.13 1744 1604 5.44 5.10 1488 14.7314.62 14.54 14.47 442 14.251417 4.12 1408 14.04 13.99 13.96 13.91 34.12 3082 2946 28.71 28.24 27.9 277 2749 27.34 27.23 2687 2669 26.58 26.50 26.41 26.32 2624 26.14 8.63 8.62 8.59 8.57 8.55 8.85 4.54 7.7 3.98 609 3.95 6.04 3.94 6.00 8.90 3.92 5.96 3.83 3.79 569 8.36 3.8413.75 1365 13.58 13.47 3.78 5.66 3.76 5.72 5.80 8.56 6.26 5.75 6.94 12.22 105 6.59 5.86 8.50 21.20 18.00 1669 15.98 5.52 5. 4.98 14.80 14.66 14.55 4.20 14.02 3.91 01 i0 05 3.324 3.21 4.56 6.33 9.55 4.52 6.27 945 4.50 6.23 9.38 4.46 443 10.0 6,26 3.27 2.06 39 10.97 1067 1046 09 0,16 10,05 6,76 6,08 9.29 01 9.20
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