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List all the elements of B that belong to the given set Integers A) 15, 0 8) 15,-21,0. 16 c15,0.6 D) 15,-21,0 2)8-7.^B.-10.0.84 2) Natural numbers A) 17, 0-16 ) 17,6 C) -10,0, 17 D) 17,0 3) B 7,J1,-11,0, ,'/g, 0.36 3) Irrational numbers A)7,0.36 D) 70.36 Tell whether the statement is true or false 4) Every rational number is an integer A) True B) False Find the absolute value. A) 18 B)-18 C) 0 D) 36 Find the opposite of the number 6) 17 17 17 A) B) D) Write the phrase as a variable expression. Use x to represent 'a number. 7) 6 less than 7 times a number 7) A) 6-7x B) 6x-7 C)7-6x D) 7x -6 Add or subtract as indicated. 8) 10+7 A) 3 B) -3 C)-17 D) 17 9)-5-12 A) 17 D) -17
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No common factor m^5 (20m^4 + 6m^2 +20) 2m^5 (10m^4 + 3m^2 +10) |
(0, 0) (0, 1) (1, 1) |
121p^2 + 88p - 16 121p^2 - 16 121p^2 - 88p -16 |
(7, -7) (9, -9) (-7, 7) |
(18x^2 - 2)(x - 5) (3x^2 - 2)(6x - 5) x(18x + 2)(x +5) |
x^2 + 8xy + 8y^2 x^2 + 8xy + 15y^2 x + 8xy + 15y |
54x^14 + 72x^9 54x^14 + 72x^9 -42x^7 54x^14 + 12x^2 -7 |
(15x - 2)(x + 4) (3x - 2)(5x + 4) (3x + 2)(5x -4) |
Trinomial, degree 3 Trinomial, degree18 Trinomial, degree11 |
12x^42 + 9 10x^26 - 2x^14 + 4x^12 +9 4x^8 + 4x^7 + 4x^6 +9 |
-3n^5 + 11n^3 - 3 5n^8 -3n^5 + 11n^3 -9 |
(-2, 4) (-1, 3) No solution |
(4, 1) (4, 0) No solution |
False |
False |
False |
False |
False |
False |
False |
The Times-Observer is a daily newspaper in Metro City. Like manycity newspapers, the Times-Observer is suffering through difficultfinancial times.The circulationmanager is studying other papers in similar cities in the UnitedStates and Canada. She is particularly interested in what variablesrelate tothe numberof subscriptions to the paper. She is able to obtain the followingsample information on 25 newspapers in similar cities. Thefollowing notationis used:
Sub= Number of subscriptions (in thousands).
Popul = The metropolitan population (in thousands).
Adv= The advertising budget of the paper (in $ hundreds).
Income= The median family income in the metropolitan area (in $thousands).
Paper Sub | Popu | Adv | Income |
1 37,95 | 588,9 | 13,2 | 35,1 |
2 37,66 | 585,3 | 13,2 | 34,7 |
3 37,55 | 566,3 | 19,8 | 34,8 |
4 38,78 | 642,9 | 17,6 | 35,1 |
5 37,67 | 624,2 | 17,6 | 34,6 |
6 38,23 | 603,9 | 15,4 | 34,8 |
7 36,9 | 571,9 | 11 | 34,7 |
8 38,28 | 584,3 | 28,6 | 35,3 |
9 38,95 | 605 | 28,6 | 35,1 |
10 39,27 | 676,3 | 17,6 | 35,6 |
11 38,3 | 587,4 | 17,6 | 34,9 |
12 38,84 | 576,4 | 22 | 35,4 |
13 38,14 | 570,8 | 17,6 | 35 |
14 38,39 | 586,5 | 15,4 | 35,5 |
15 37,29 | 544 | 11 | 34,9 |
16 39,15 | 611,1 | 24,2 | 35 |
17 38,29 | 643,3 | 17,6 | 35,3 |
18 38,09 | 635,6 | 19,8 | 34,8 |
19 37,83 | 598,9 | 15,4 | 35,1 |
20 39,37 | 657 | 22 | 35,3 |
21 37,81 | 595,2 | 15,4 | 35,1 |
22 37,42 | 520 | 19,8 | 35,1 |
23 38,83 | 629,6 | 22 | 35,3 |
24 38,33 | 680 | 24,2 | 34,7 |
25 40,24 | 651,2 | 33 | 35,8 |
(a) Determine the regression equation.
(b) Conduct a global test of hypothesis to determine whether anyof the net regression coefficients are not equal to zero.
(c) Conduct a test for the individual coefficients. Would youconsider deleting any coefficients?
(d) Determine the residuals and plot them against the fittedvalues. Do you see any problems?
(e) Develop a histogram of the residuals. Do you see anyproblems with the normality assumption?
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