Statıstıcs Iı Final 4. Deneme Sınavı
Toplam 20 Soru1.Soru
A teacher has created a simple linear regression model for a problem with two variables. The total variation in the model is partitioned as follows: SST = SSR+SSE = 780+ 320 What is the value of the coefficient of determination in this problem?
0.24 |
0.29 |
0.32 |
0.78 |
0.71 |
Since the components of the total variation is already given then the coefficient of determination for this problem is as follows: r 2 = explained variation/ total variation = SSR / SST = = 780/ 780+ 320 = 0.71. Therefore, we can say that the 71% of the variability in the dependent variable can be accounted to the independent variable. The correct answer is E.
2.Soru
If the Chi-Square goodness of fit test is applied to data in the table, what is the total chi-square value?
32.56 |
38.98 |
30.83 |
45.12 |
65.78 |
3.Soru
If the degrees of freedom is 10 and right tale area is 0.10, what is the chi-squrae value from the chi-square table?
15.987 |
14.684 |
17.275 |
17.535 |
16.750 |
You need to use the table 7.3 in page 167 of your course book.
4.Soru
If the correlation coefficient is 0.25 then what is the value of the coefficient of determination ?
0.25 |
0,025 |
0,0025 |
0,625 |
0,0625 |
If the correlation coefficient is 0.25 then r = 0,25,
the value of the coefficient of determination is r x r = r2 = 0,25 x 0,25 = 0.0625
The correct answer is E.
5.Soru
In Pearson's Correlation Coefficient, which of the following is represented by the letter r ?
Population correlation |
Sample correlation |
Dependent variable |
Independent variable |
Continuous variable |
There are two symbols used for Pearson’s correlation coefficient, population correlation is represented by ρ (rho) and sample correlation is represented by r. The correct answer is B.
6.Soru
After the coefficient of determination is calculated, the research says " the independent variable in this problem explains the 36% of the variability of the dependent variable. If we consider the total variability of dependent variable as 100%, it means that there is still 64% of unaccounted variability for the dependent variable. There must be some other effects on the variability of the dependent variable.".
According to this explanation, what is the coefficient of determination calculated by the researcher?
0,06 |
0,08 |
0,36 |
0,64 |
1,00 |
When the coefficient of determination is 0,36, the independent variable in this problem explains the 36% of the variability of the dependent variable”. If we consider the total variability of dependent variable as 100%, it means that there is still 64% of unaccounted variability for the dependent variable. There must be some other effects on the variability of the dependent variable. The correct answer is C.
7.Soru
Some countries and their populations are given below : Austria:8.751.820 France:65.233.271 Italy: 59.290.969 Spain: 46.397.452 What is the index number for France when compared to Spain?
140.60 |
127.79 |
100.00 |
22.18 |
18.86 |
A simple index number can be calculated using the following equation: I
Indexnumber = (value / referencevalue) ×100
In this example the value is France's population and the reference value is Spain's population.
(65.233.271 / 46.397.452) ×100 = 140.60
8.Soru
What is the coefficient of determination if te value of the correlation coefficient is -0.65?
-0.9025 |
-0.4525 |
0 |
0.4225 |
0.8525 |
D.C.=r^2=(-0.65)^2=0.4225
9.Soru
What is the value of maximax criterion for this profit based payoff matrix?
60 |
70 |
80 |
90 |
100 |
10.Soru
Interval estimation : the limits of the confidence interval are (49.6, 50.4), the significance level is 0.01. What is the sample arithmetic mean?
49.8 |
49.0 |
50.0 |
50.1 |
50.2 |
x = (49.6 + 50.4) / 2 = 50. pg. 33. Correct answer is C.
11.Soru
What is the method of finding the degree of relationship between the variables called?
Regression analysis |
Correlation analysis |
Independent analysis |
Dependent analysis |
Degree analysis |
The method of finding the degree of relationship between the variables is called correlation analysis. The correct answer is B.
12.Soru
According to which criterion a decision maker choose that course of action which minimizes the minimum possible pay – offs?
Minimax |
Maximin |
Maximax |
Minimin |
Optimum |
The defined criterion is the minimin, which suggests to choose the action with possible minimum payoff.
13.Soru
Price of X is 10, and 8 units on January, and April, respectively. January is the base period. What is the fixed based simple price index for April?
800 |
200 |
125 |
80 |
20 |
x = (8 / 10) . 100 = 80. pg. 138. Correct answer is D.
14.Soru
In which decision making criterion The decision maker tries to minimize the damage since the overall approach is to look for the best among the worst payoff values?
maximax |
minimin |
Maximin |
Max |
probabilistic |
This method is also known as Wald’s pessimism criterion. In here, the decision maker follows a pessimistic approach to solve the decision problem. The decision maker tries to minimize the damage since the overall approach is to look for the best among the worst payoff values. Decision maker creates the payoff table table either profit or cost based for each combination of (decision alternative, state of nature). Then, the decision maker chooses the minimum or maximum payoff value for each decision alternative, and then decision maker selects the decision alternative that gives the lowest or highest of these payoffs.
15.Soru
A road traffic safety research study examined winter tire use in the passenger cars in two nearby cities. Number of the cars examined in city 1 are 100 (n1 ) and 60 of the cars have winter tires. On the other hand, in the city 2,120 (n2 ) passenger cars are examined and 78 of the cars have winter tires. What is the alternate hypothesis?
H1 : p1 = p2 |
H1 : p1 ≠ p2 |
H1 : p1 < p2 |
H1 : p1 > p2 |
H0 : p1 = p2 |
In this question, the parameter of interest is the winter tire use proportion in the passenger cars in two nearby cities. The group sizes for the city 1, n1 = 100 and for the city 2, n2 = 120. Then, hypothesis can be expressed as follows: H0 : p1 = p2 H1 : p1 ≠ p2. Therefore, the correct answer is B.
16.Soru
Total price and quantity for products group A is 4 and 15, and 5 and 4, as unit a and unit b, for months X and Y, respectively. What is the Laspeyres' price index for A for month X when month Y is the base?
21.5 |
140 / 9 |
64.0 |
80.0 |
50.0 |
x = ((4 . 15) / (5 . 24)) . 100 = (60 / 120) . 100 = 50
17.Soru
The price of a product in the base period is 150 TL and the price of the same product in the current period is 200, what is the simple index for price in the current period?
180.65 |
180.54 |
150.25 |
125.50 |
133.33 |
P(n/0)=(200/150)*100
18.Soru
What is the rejection region if the alternative hypothesis is in the form of H1 : µ1 < µ2 ?
z > zα |
z < – zα |
z > z |
z > α |
z > -α |
critical regions for the hypothesis test are summarized as follows; If the alternative hypothesis is in the form of H1 : µ1 ≠ µ2 then rejection region is z > zα/2 or z < – zα/2 If the alternative hypothesis is in the form of H1 : µ1 < µ2 then rejection region is z < – zα If the alternative hypothesis is in the form of H1 : µ1 > µ2 then rejection region is z > zα. Therefore, the correct answer is B.
19.Soru
What is the name of the nonparametric test that is used for the hypothesis test about the population median?
The sign test |
z test |
t test |
MANOVA |
F test |
The sign test gets its name from the negative and positive signs of the mathematical difference of the observations’ measurements. It is used for the hypothesis test about the population median, M.
20.Soru
When the Laspeyres quantity index is calculated, the price is the weight in the ____ period.
Which of the following completes the sentence best?
next |
current |
base |
every |
previous |
The Laspeyres price index is calculated by the ratio of the sum of prices in the current period to the sum of the prices in the base period, these sums are weighted by the respective quantities of the base period. In this case, the weights which are used are the quantities of each commodity in the base period. When the Laspeyres quantity index is calculated, the price is the weight in the base period. In the calculation of the Paasche price index, the current period quantities are used as weights, so it is also known as the current year weighted index. When the Paasche Quantity Index is constructed, the price is the weight in the current period. The correct answer is C.
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