Statıstıcs Iı Final 7. Deneme Sınavı
Toplam 20 Soru1.Soru
A fisherman thinks that the depth of the sea is effective on the amount of specific fish caught (kilogram) on a given day. The fisherman sets the fishing net in to different areas for the last ten days and records the amount of fish caught and the depth of the sea where the fishing net was set. A friend of the fisherman has calculated the Pearson’s correlation coefficient as 0.75.
In the example above, what is the dependent variable?
The depth of the sea |
The area where the net is set |
The amount of the fish caught |
The friend of the fisherman |
The duration (last ten days) |
The fisherman has created two variables, the independent variable (x) is the depth of sea and the dependent variable is the amount of fish (y).
2.Soru
It is based on the agreement between the distribution of a set of observed values and some particular theoretical distribution. This one sample test determines whether the scores in the sample come from a population with theoretical distribution.
Which of the following tests is described above?
The Chi-square Goodness of Fit Test |
The Kolmogorov- Smirnov Test |
Kruskal-Wallis Test |
Wilcoxon Signed Rank Test |
Wilcoxon Rank Sum Test |
The Kolmogorov-Smirnov test is another goodness of fit test. It is based on the agreement between the distribution of a set of observed values and some particular theoretical distribution. The KolmogorovSmirnov one sample test determines whether the scores in the sample come from a population with theoretical distribution. The test compares the observed cumulative frequency distribution with the cumulative frequency distribution which would occur under the null hypothesis. In Kolmogorov-Smirnov test, the level of measurement for data is at least ordinal. This is the power of Kolmogorov-Smirnov test. The correct answer is B.
3.Soru
In decision making, where do we show all the possible decision alternatives of the problem, all the states of nature and the payoff values for each of alternative and states of nature combination?
ANOVA table |
t table |
Identitiy matrix |
Payoff matrix |
Mode and median |
Once all the payoff values are calculated, a payoff matrix or decision table is created. The payoff matrix will show you all the possible decision alternatives of the problem, all the states of nature and the payoff values for each of alternative and states of nature combination.
4.Soru
The payoff values for decision alternatives : there are 5 states of nature and the cost value for the first decision alternative is 6 according to optimist and 5 according to pessimist. If coefficient of oprimism is 0.2, what is payoff value for the first decision alternative?
5.75 |
5.60 |
5.45 |
5.20 |
5.15 |
x = 6 . 0.2 + 5 (1 – 0.2) = 1.2 + 4 = 5.2 . pg. 194 . Correct answer is D.
5.Soru
In which criterion a level of optimism (alpha) is attained for the maximum value of each action, 1-alpha to minimum value and then a weighted average payoff is calculated?
Hurwicz's |
Wald's |
Plunger's |
Shorrock's |
Tucker's |
It's the Hurwic's criterion. The average payoff=? *Max+(1-? )Min
6.Soru
The payoff values for decision alternatives : there are 5 states of nature and the profit values for the first decision alternative are 96, 87, 45, 14, 107. The decision maker is optimistic. Which payoff value is taken from the first decision alternative?
14 |
45 |
87 |
96 |
107 |
x = max = 107. pg. 190. Correct answer is E.
7.Soru
The weather conditions in this decision problem are examples of .....
State of natüre |
Nature of state |
Payoff |
Decision alternative |
Payroll |
Different weather conditions are examples of state of nature.
8.Soru
In a binomial test, x =35, n= 60 and P=0.55, what is the observed/calculated z value?
0.154 |
0.389 |
0.657 |
0.796 |
0.872 |
since 35 > 60 * 0.55
z = [(35-0.5)-33]/[sqrt(60*0.55*0.45)]= 1.5 / 3.854 = 0.389
9.Soru
The payoff values for decision alternatives : there are 5 states of nature and the profit values for the first decision alternative are 69, 78, 54, 40, 87. The decision maker is optimistic. Which payoff value is taken from the first decision alternative?
87 |
78 |
69 |
54 |
40 |
x = max = 87 . pg 190. Correct answer is A.
10.Soru
Total price for products group A is 27 and 24 units for weeks X and Y, respectively. What is the fixed based simple average price index for A for week X when week Y is the base?
112.5 |
100 / 9 |
100 / 19 |
19 |
25 |
x = (27 / 24) . 100 = 112.5
11.Soru
The following linear regression model is cretaed between two variables
If the expected value of the dependent variable is 120, what is the value of the independent variable according to this linear regression model?
21.56 |
12.45 |
35.85 |
81.93 |
110.25 |
120 = -5.35 + 1.53 * x
x = 81.93
12.Soru
The payoff values for decision alternatives : there are 5 states of nature and minimum payoff values for 5 decision alternatives are I) 1.150, II) 1.025, III) 1.275, IV) 1.725, V) 1.450. The decision maker is pessimistic. Which decision alternative is choosen?
I |
II |
III |
IV |
V |
x = max = IV : 1.725 . pg 190. Correct answer is D.
13.Soru
the following regression model is created between two variables:
if the value of independent variable is 12, what is the expected value of the dependent variable according to given regression model?
60 |
89 |
120 |
140 |
152 |
y= 41 + 4 * x = 41 + 4 * 12 = 89
14.Soru
What is the chain-based simple index for Dean according to table?
150 |
80 |
110 |
90 |
100 |
CBSI=(current/preceding)*100=(220/200)*100=
15.Soru
The payoff values for decision alternatives : there are 5 states of nature and the profit values for the first decision alternative are 6, 7, 4, 9, 8. The decision maker is pessimistic. Which payoff value is taken from the first decision alternative?
4 |
6 |
7 |
8 |
9 |
x = min = 4. If the payoff table is based on profits, first for each decision alternative, the minimum payoff value of each decision alternative is listed then among these payoff values the decision alternative producing the maximum is chosen as the best decision alternative. pg 190. Correct answer is A.
16.Soru
The payoff values for decision alternatives : there are 5 states of nature and the cost value for the first decision alternative is 5 according to optimist and 6 according to pessimist. If coefficient of oprimism is 0.4, what is payoff value for the first decision alternative?
5.20 |
5.40 |
5.60 |
5.75 |
5.80 |
x = 5 . 0.4 + 6 . (1 – 0.4) = 2 + 3.6 = 5.6 . pg 194. Correct answer is C.
17.Soru
What is the chain-based simple index for Duke according to table?
15.8 |
112.87 |
120.78 |
82.45 |
77.78 |
CBIP=(current/preceding)*100=(140/180)*100=77.78
18.Soru
Total price and quantity for products group A is 34 and 3, and 80 and 5, as unit a and unit b, for years X and Y, respectively. What is the Fisher’s price index for A for year X when year Y is the base?
102.0 |
25.5 |
400.0 |
240.0 |
170.5 |
Fisher's index = (Laspeyres' index . Paashe's index)1/2 ; for this case : Laspeyres' index . Paashe's index = Fisher's index ; x = ((34 . 3) / (80 . 5)) . 100 = (102 / 400) . 100 = 25.5
19.Soru
In a Chi-square goodness of fit test, the observed value is 85, the expected value of the same observation is 80, what is the contribution of these values to overall chi-square value?
0.1258 |
0.6578 |
0.3125 |
0.4545 |
0.1595 |
single observation contribution is
(85 -80)^2 / 80 = 0.3125
20.Soru
Using the graph, what is the Pearsons correlation between these two variables?
0 |
-1 |
0.5 |
1 |
0.2 |
The Figure shows a scatterplot of two variables with +1 Pearson’s correlation coefficient.
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