Question
In: Statistics and Probability
Using Minitab to calculate the regression analysis: avg tot. score vs pps. Then, Compute and interpret...
Using Minitab to calculate the regression analysis: avg tot. score vs pps. Then,
Compute and interpret a 95% confidence interval for the population slope.
| State | PPS | T/S Ratio | Avg. Salary | %Takers | Avg. Tot. Score |
| "Alabama" | 4.405 | 17.2 | 31.144 | 10 | 1035 |
| "Alaska" | 8.963 | 17.6 | 47.951 | 48 | 939 |
| "Arizona" | 4.778 | 19.3 | 32.175 | 28 | 950 |
| "Arkansas" | 4.459 | 17.1 | 28.934 | 7 | 1010 |
| "California" | 4.992 | 24 | 41.078 | 46 | 908 |
| "Colorado" | 5.443 | 18.4 | 34.571 | 31 | 985 |
| "Connecticut" | 8.817 | 14.4 | 50.045 | 82 | 914 |
| "Delaware" | 7.03 | 16.6 | 39.076 | 70 | 902 |
| "Florida" | 5.718 | 19.1 | 32.588 | 50 | 895 |
| "Georgia" | 5.193 | 16.3 | 32.291 | 66 | 859 |
| "Hawaii" | 6.078 | 17.9 | 38.518 | 58 | 895 |
| "Idaho" | 4.21 | 19.1 | 29.783 | 16 | 984 |
| "Illinois" | 6.136 | 17.3 | 39.431 | 14 | 1054 |
| "Indiana" | 5.826 | 17.5 | 36.785 | 59 | 887 |
| "Iowa" | 5.483 | 15.8 | 31.511 | 7 | 1105 |
| "Kansas" | 5.817 | 15.1 | 34.652 | 11 | 1066 |
| "Kentucky" | 5.217 | 17 | 32.257 | 12 | 1005 |
| "Louisiana" | 4.761 | 16.8 | 26.461 | 10 | 1027 |
| "Maine" | 6.428 | 13.8 | 31.972 | 70 | 902 |
| "Maryland" | 7.245 | 17 | 40.661 | 65 | 915 |
| "Massachusetts" | 7.287 | 14.8 | 40.795 | 81 | 913 |
| "Michigan" | 6.994 | 20.1 | 41.895 | 13 | 1038 |
| "Minnesota" | 6 | 17.5 | 35.948 | 10 | 1091 |
| "Mississippi" | 4.08 | 17.5 | 26.818 | 5 | 1041 |
| "Missouri" | 5.383 | 15.5 | 31.189 | 10 | 1051 |
| "Montana" | 5.692 | 16.3 | 28.785 | 23 | 1014 |
| "Nebraska" | 5.935 | 14.5 | 30.922 | 10 | 1056 |
| "Nevada" | 5.16 | 18.7 | 34.836 | 31 | 922 |
| "New Hampshire" | 5.859 | 15.6 | 34.72 | 70 | 941 |
| "New Jersey" | 9.774 | 13.8 | 46.087 | 72 | 904 |
| "New Mexico" | 4.586 | 17.2 | 28.493 | 12 | 1021 |
| "New York" | 9.623 | 15.2 | 47.612 | 76 | 898 |
| "North Carolina" | 5.077 | 16.2 | 30.793 | 62 | 871 |
| "North Dakota" | 4.775 | 15.3 | 26.327 | 7 | 1113 |
| "Ohio" | 6.162 | 16.6 | 36.802 | 25 | 981 |
| "Oklahoma" | 4.845 | 15.5 | 28.172 | 11 | 1032 |
| "Oregon" | 6.436 | 19.9 | 38.555 | 53 | 953 |
| "Pennsylvania" | 7.109 | 17.1 | 44.51 | 72 | 885 |
| "Rhode Island" | 7.469 | 14.7 | 40.729 | 70 | 894 |
| "South Carolina" | 4.797 | 16.4 | 30.279 | 60 | 849 |
| South Dakota" | 4.775 | 14.4 | 25.994 | 6 | 1074 |
| "Tennessee" | 4.388 | 18.6 | 32.477 | 14 | 1045 |
| "Texas" | 5.222 | 15.7 | 31.223 | 50 | 899 |
| "Utah" | 3.656 | 24.3 | 29.082 | 6 | 1082 |
| "Vermont" | 6.75 | 13.8 | 35.406 | 70 | 907 |
| "Virginia" | 5.327 | 14.6 | 33.987 | 66 | 902 |
| "Washington" | 5.906 | 20.2 | 36.151 | 50 | 943 |
| "West Virginia" | 6.107 | 14.8 | 31.944 | 19 | 937 |
| "Wisconsin" | 6.93 | 15.9 | 37.746 | 10 | 1079 |
| "Wyoming" | 6.16 | 14.9 | 31.285 | 12 | 1006 |
Solutions
Expert Solution
The 95% confidence interval for the population slope is between -35.5995 and -6.0984.
We are 95% confident that the true regression slope is between -35.5995 and -6.0984.
The output is:
| r² | 0.144 | |||||
| r | -0.380 | |||||
| Std. Error | 69.985 | |||||
| n | 50 | |||||
| k | 1 | |||||
| Dep. Var. | Avg. Tot. Score | |||||
| ANOVA table | ||||||
| Source | SS | df | MS | F | p-value | |
| Regression | 39,557.8739 | 1 | 39,557.8739 | 8.08 | .0066 | |
| Residual | 2,35,102.3061 | 48 | 4,897.9647 | |||
| Total | 2,74,660.1800 | 49 | ||||
| Regression output | confidence interval | |||||
| variables | coefficients | std. error | t (df=48) | p-value | 95% lower | 95% upper |
| Intercept | 1,094.6985 | |||||
| PPS | -20.8490 | 7.3363 | -2.842 | .0066 | -35.5995 | -6.0984 |
orchestra answered 1 year agoRelated Solutions
B. Regression Analysis: Avg. Tot. Score versus PPS, %Takers Model Summary S R-sq R-sq(adj) R-sq(pred) 32.4595 81.95% 81.18% &nbs
B. Regression Analysis:
Avg. Tot. Score versus PPS, %Takers
Model Summary
S
R-sq R-sq(adj) R-sq(pred)
32.4595 81.95%
81.18% 79.59%
Coefficients
Term Coef SE
Coef T-Value P-Value VIF
Constant 993.8 21.8
45.52 0.000
PPS 12.29
4.22
2.91 0.006 1.54
%Takers -2.851
0.215 -13.25 0.000
1.54
1.
Give a correct interpretation of the slope of PPS in
Model B.
2. What is the fit in Model B
for a state with $5500 in per pupil spending and 60% of eligible
students (%Takers) taking the exam?
Regression Analysis: Overall Rating versus
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S
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84
59
80
65
85
54
83
61
81
64
84
58
87
48
78
68
82
63
76
70
79
65
75
80
Estimate the demand curve using regression analysis. Write down the equational form. Interpret the coefficients, statistical...
Estimate the demand curve using regression analysis. Write down
the equational form. Interpret the coefficients, statistical
significance and R2. What are the limitations of your specification
(omitted variables, correlation vs. causality)?
Quantity
Price
84
59
80
65
85
54
83
61
81
64
84
58
87
48
78
68
82
63
76
70
79
65
75
80
Estimate the demand curve using regression analysis. Write down the equational form. Interpret the coefficients, statistical...
Estimate the demand curve using regression analysis. Write down
the equational form. Interpret the coefficients, statistical
significance and R2. What are the limitations of your specification
(omitted variables, correlation vs. causality)?
Quantity
Price
84
59
80
65
85
54
83
61
81
64
84
58
87
48
78
68
82
63
76
70
79
65
75
80
Use Excel to compute the Beta Coefficient for the following security (J), using first, regression analysis...
Use Excel to compute the Beta Coefficient for the following
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Stock J
Market
0.14
0.13
0.07
0.1
0.05
0.12
0.01
0.01
0.11
0.15
0.12
1.6
0.11
0.14
0.15
0.11
0.2
0.06
0.02
0.01
0.01
0.11
Use the data from B. above and Excel to compute the Beta
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Compute and Interpret Z-score Balance sheets and income statements for Lockheed Martin Corporation follow. Refer to...
Compute and Interpret Z-score
Balance sheets and income statements for Lockheed Martin
Corporation follow. Refer to these financial statements to answer
the requirements.
Income Statement
Year Ended December 31 (In
millions)
2005
2004
2003
Net sales
Products
$ 31,518
$ 30,202
$ 27,290
Service
5,695
5,324
4,534
37,213
35,526
31,824
Cost of sales
Products
28,800
27,879
25,306
Service
5,073
4,765
4,099
Unallocated coporate costs
803
914
443
34,676
33,558
29,848
2,537
1,968
1,976
Other income (expenses), net
449
121
43...
Compute and Interpret the Z-score Balance sheets and income statements for Lockheed Martin Corporation follow. Refer...
Compute and Interpret the Z-score
Balance sheets and income statements for Lockheed Martin
Corporation follow. Refer to these financial statements to answer
the requirements.
Consolidated Statements of Earnings
Year Ended December 31 (In millions)
2016
2015
Net sales
Products
$ 40,365
$ 34,868
Services
6,883
5,668
Total net sales
47,248
40,536
Cost of sales
Products
(36,616)
(31,091)
Services
(6,040)
(4,824)
Severance and other charges
(80)
(82)
Other unallocated costs
550
(47)
Total cost of sales
(42,186)
(36,044)
Gross Profit
5,062...
Compute and Interpret Z-score Balance sheets and income statements for Lockheed Martin Corporation follow. Refer to...
Compute and Interpret Z-score
Balance sheets and income statements for Lockheed Martin
Corporation follow. Refer to these financial statements to answer
the requirements.
Income Statement
Year Ended December 31 (In
millions)
2005
2004
2003
Net sales
Products
$ 31,518
$ 30,202
$ 27,290
Service
5,695
5,324
4,534
37,213
35,526
31,824
Cost of sales
Products
27,932
27,637
25,306
Service
5,073
4,765
4,099
Unallocated coporate costs
803
914
443
33,808
33,316
29,848
3,405
2,210
1,976
Other income (expenses), net
(449)
(121)
43...
Compute and Interpret the Z-score Balance sheets and income statements for Lockheed Martin Corporation follow. Refer...
Compute and Interpret the Z-score
Balance sheets and income statements for Lockheed Martin
Corporation follow. Refer to these financial statements to answer
the requirements.
Consolidated Statements of Earnings
Year Ended December 31 (In millions)
2016
2015
Net sales
Products
$ 40,365
$ 34,868
Services
6,883
5,668
Total net sales
47,248
40,536
Cost of sales
Products
(36,616)
(31,091)
Services
(6,040)
(4,824)
Severance and other charges
(80)
(82)
Other unallocated costs
550
(47)
Total cost of sales
(42,186)
(36,044)
Gross Profit
5,062...
Compute and Interpret the Z-score Balance sheets and income statements for Lockheed Martin Corporation follow. Refer...
Compute and Interpret the Z-score
Balance sheets and income statements for Lockheed Martin
Corporation follow. Refer to these financial statements to answer
the requirements.
Consolidated Statements
of Earnings
Year Ended December 31 (In
millions)
2016
2015
Net sales
Products
$ 40,365
$ 34,868
Services
6,883
5,668
Total net sales
47,248
40,536
Cost of sales
Products
(36,616)
(31,091)
Services
(6,040)
(4,824)
Severance and other charges
(80)
(82)
Other unallocated costs
550
(47)
Total cost of sales
(42,186)
(36,044)
Gross Profit
5,062...
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