Statıstıcs Iı Final 6. Deneme Sınavı
Toplam 20 Soru1.Soru
If there is no correlation between two continuous variables, What is the value of Pearson's Correlation coefficient?
|
-1 |
|
-0.5 |
|
0 |
|
0.5 |
|
1 |
If Pearson’s correlation coefficient is equal to 0, then it is said that there is no linear relationship between these two variables.
2.Soru
The payoff values for decision alternatives : there are 5 states of nature and the cost value for the first decision alternative is 12 according to optimist and 15 according to pessimist. If coefficient of optimism is 0.2, what is payoff value for the first decision alternative?
|
13.50 |
|
13.80 |
|
14.10 |
|
14.25 |
|
14.40 |
x = 12 . 0.2 + 15 . (1 – 0.2) = 2.4 + 12 = 14.4 . pg. 194 . Correct answer is E.
3.Soru
Answer the questions 1-4 according to the following situation.
The weather can be either snowy, rainy or sunny tomorrow morning. Ahmet can go to work either by bus or by his own car. If the weather is sunny and he goes to work by his own car, it will take 10 minutes and if he chooses to go by bus it will take 20 minutes. On the other hand if the weather is rainy his own car will take 15 minutes and the bus will take 25 minutes to go to work. Finally, if the weather is snowy car option takes 20 minutes and bus option takes 35 minutes.
The duration (time) of going to work is an example of ........
|
State of nature |
|
Nature of state |
|
Payoff |
|
Decision alternative |
|
Payroll |
The time it take for him to go to work in different weather conditions and different vehicles is an example of payoff.
4.Soru
Total price for products group A is 20 and 18 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?
|
90 |
|
100 / 9 |
|
100 / 19 |
|
19 |
|
25 |
x = (20 / 18) . 100 = 100 / 9. pg. 143. Correct answer is B.
5.Soru
In decision making, _____________ are the outcomes on which the decision maker has little or no control.
In decision making, _____________ are the outcomes on which the decision maker has little or no control.
|
probability |
|
data |
|
payoff matrix |
|
states of nature |
|
payoff |
In decision making, states of nature are the outcomes on which the decision maker has little or no control.
6.Soru
When a probability of obtaining an outcome, out of two outcomes, on one trial is known and a probability of the number of times the same outcome might appear, say x times out of n independent trials is tried to be found, which probability distribution is used?
When a probability of obtaining an outcome, out of two outcomes, on one trial is known and a probability of the number of times the same outcome might appear, say x times out of n independent trials is tried to be found, which probability distribution is used?
|
Normal |
|
t |
|
z |
|
F |
|
Binomial |
There is a specific distribution called binomial distribution. The Binomial distribution is used when a probability of obtaining an outcome, out of two outcomes, on one trial is known and a probability of the number of times the same outcome might appear, say x times out of n independent trials is tried to be found. Mainly the binomial distribution is the sampling distribution of the proportions estimated from sample data. The binomial test tells us whether it is reasonable to conclude that the proportions we obtain from our sample could have been drawn from a population with a particular value of P.
7.Soru
Which of the following hypotheses does NOT belong to Wilcoxon Rank Sum Test?
|
The two populations are identical. |
|
The first population is shifted to the right of the second population. |
|
The first population is shifted to the left of the second population. |
|
The first and the second populations are shifted from each other |
|
The population distribution is Uniform. |
In Wilcoxon Rank Sum Test, Ithe alternative hypotheses are constructed in three different ways. The hypotheses are shown as follows.
H0 : The two populations are identical
H1a : The first population is shifted to the right of the second population
H1b : The first population is shifted to the left of the second population
H1c : The first and the second populations are shifted from each other
The correct answer is E.
8.Soru
In an investigation, Pearson’s correlation coefficient is found as 0.597. What is the type of correlation in this investigation?
|
Negative strong correlation |
|
Positive strong correlation |
|
Negative moderate correlation |
|
Positive moderate correlation |
|
No correlation |
As the number gets closer to 1, the correlation is stronger. Therefore if it is 1, it is perfect correlation and if it is 0, there is no correlation. In this example, correlation is almost almost half of 1 and it is positive number, therefore it shows positive moderate correlation. The correct answer is D.
9.Soru
Pearson’s correlation coefficient is found -0.48 in a problem. What is the coefficient of determination?
|
0,23 |
|
-0,52 |
|
0,77 |
|
0,52 |
|
0,48 |
The coefficient of determination is calculated by using the square of Pearson’s correlation coefficient, r2 .The coefficient of determination in the same problem is r2 = (-0.48)2 = 0.23. The practical meaning of this result can be written as follows: “the independent variable in this problem explains the 23% of the variability of the dependent variable”. If we consider the total variability of dependent variable as 100%, it means that there is still 77% of unaccounted variability for the dependent variable. There must be some other effects on the variability of the dependent variable. The correct answer is A.
10.Soru
What is the simple index number for Nisan?
|
2.80 |
|
2.40 |
|
1.89 |
|
3.45 |
|
9.6 |
simple index number without 100 multiplication
60/25 =2.40
11.Soru
If there is no correlation between two continuous variables, what is the value of the Pearson's correlation coefficient?
|
-1 |
|
-0.5 |
|
0 |
|
0.5 |
|
1 |
If Pearson’s correlation coefficient is equal to 0, then it is said that there is no linear relationship between these two variables.
12.Soru
Decision maker defines the coefficient of optimism as 0.2 , then what is the coefficient of pessimism?
|
0.04 |
|
0.10 |
|
0.20 |
|
0.40 |
|
0.80 |
x = 1 – 0.2 = 0.8 . pg 194. Correct answer is E.
13.Soru
The table shows s the times (in minutes) spent by five students revising for a test and the grades that they achieved in the test. What is Spearman’s rank correlation coefficient?
|
1 |
|
0.1 |
|
0.2 |
|
0.3 |
|
0.5 |
14.Soru
________________ tests are used to determine whether a data set comes from a particular distribution?
________________ tests are used to determine whether a data set comes from a particular distribution?
|
t-test |
|
z-test |
|
Goodness of fit tests |
|
ANOVA |
|
Regression |
Goodness of fit tests are used to determine whether a data set comes from a particular distribution.
15.Soru
If the value of Pearson's correlation coefficient is 0.85, what do we say about the linear relationship between these two variables?
|
Perfect correlation |
|
Very strong correlation |
|
Strong correlation |
|
Moderate correlation |
|
Weak correlation |
16.Soru
Total price and quantity for products group A is 4 and 33, and 5 and 40, 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?
|
200.0 |
|
132.0 |
|
66.0 |
|
33.0 |
|
16.5 |
Fisher's index = (Laspeyres' index . Paashe's index)1/2 ; for this case : Laspeyres' index . Paashe's index = Fisher's index ; x = ((4 . 33) / (5 . 40)) . 100 = (132 / 200) . 100 = 66 . pg. 149. Correct answer is C.
17.Soru
Which of the following hypotheses can be written in the significance test for Pearson’s correlation coefficient?
|
There is a correlation. Population correlation is zero. |
|
There is no correlation. Population correlation is not zero. |
|
There is a correlation. Population correlation is 1. |
|
There is no correlation. Population correlation is 1. |
|
There is no correlation. Population correlation is zero. |
hypothesis in the significance test for Pearson’s correlation coefficient are written as follows:
H0 :? = 0 (There is no correlation. Population correlation is zero)
H1 :? ? 0 (There is a correlation. Population correlation is not zero)
Therefore the correct answer is E.
18.Soru
Pearson’s correlation coefficient gets values between ____________ ?
Pearson’s correlation coefficient gets values between ____________ ?
|
-2, 9 |
|
-5, 6 |
|
0, 1 |
|
-1, 1 |
|
-1, 0 |
Pearson’s correlation coefficient gets values between -1 and +1
19.Soru
In a binomial test, the investigaor is interested in the proportion of boys in a school. In the sample of 250 students, there are 175 boys. What is the value of P for a binomial test for boys?
|
0.40 |
|
0.50 |
|
0.60 |
|
0.70 |
|
0.80 |
P = 175 / 250 = 0.70
20.Soru
The payoff values for decision alternatives : there are 5 states of nature and the cost values for the first decision alternative are 96, 87, 45, 60, 78. The decision maker is optimistic. Which payoff value is taken from the first decision alternative?
|
96 |
|
87 |
|
78 |
|
60 |
|
45 |
x = min = 45 . pg 190. Correct answer is E.
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