Statıstıcs Iı

Yanıt Açıklaması: 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.

Yanıt Açıklaması:

Yanıt Açıklaması: You need to use the table 7.3 in page 167 of your course book.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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

Yanıt Açıklaması: D.C.=r^2=(-0.65)^2=0.4225

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Yanıt Açıklaması: x = (49.6 + 50.4) / 2 = 50 . pg. 33. Correct answer is C.

Yanıt Açıklaması: The method of finding the degree of relationship between the variables is called correlation analysis. The correct answer is B.

Yanıt Açıklaması: The defined criterion is the minimin, which suggests to choose the action with possible minimum payoff.

Yanıt Açıklaması: x = (8 / 10) . 100 = 80. pg. 138. Correct answer is D.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: x = ((4 . 15) / (5 . 24)) . 100 = (60 / 120) . 100 = 50

Yanıt Açıklaması: P(n/0)=(200/150)*100

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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.