Illustrate the sample covariance of a sample with itself?
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Q: correlation coefficient f
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- Since first year students reported at the University of Nairobi, a shop attendant at students hall of residence has noticed an increase in sales of fanta soda. As a statistician and market analyst, you would wish to know if there is relationship between soda preference and year level of study at the University of Nairobi. A random sample of 200 students was taken. Their year level and soda preference are given in the table. Soda/Year of study Fist Year Second Year Соса cola 33 57 Fanta 30 20 Spirit 5 35 Stoney 12 8 Based on this information, obtained the Chi-square calculated in 2 decimal placesA department store sells a broad range of household products and offers a low-cost breakfast in its store restaurants to at Customers Buying Customers Buying e Breakfast Make an assessment about the correlation in part (b). Choose the correct answer below. Day Household Items O A. The correlation in (b) is misleading since the relationship between the data points is not linear. Monday 76 57 O B. The correlation in (b) is misleading since there is a single outlier in the data. Tuesday 50 42 Wednesday Thursday Friday 57 27 O C. The correlation in (b) is misleading since the variables are not quantitative. 79 56 O D. The correlation in (b) is statistically sound since both variables are quantitative and the relationship is linear. 85 35 Make an assessment about the correlation in part (c). Choose the correct answer below. Saturday 298 287 Sunday 245 223 O A. The correlation in (c) is misleading since there is always a perfect straight line between two data points. O B. The correlation in…Mr. Ali runs a gift shop in the Defense area, Karachi. He advertises weekly in the local newspapers and is considering increasing his advertising budget. Before doing so, he decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses (in PKR) and sales volume for each is shown in the Table 2. What is correlation coefficient value. S.No. Sales (PKR 100) Advertising (PKR 100) 1.00 4.00 4.10 2.00 7.00 6.72 3.00 6.00 5.05 4.00 8.00 7.26 5.00 4.00 2.69
- A research conducts a study to identify the relationship between variable A and Variable B. The data collected from a random sample is presented in Table 2 Subject Dependent Variable Independent Variable (variable A) (variable B) 1 23.5 19.6 2 21.5 24.7 3 17.5 16.9 4 45.6 22.1 32.1 26.4 6 61.0 55.2 7 15.9 21.5 8 22.6 77.2 9. 34.5 35.8 10 22.1 23.9 11 26.4 23.7 12 23.5 24.2 13 59.9 60.5 14 45.7 46.0 15 43.2 44.1 16 28.4 29.3 17 54.8 55.9 18 37.4 23.5 19 42.3 59.9 20 32.1 45.7 a. What is the suitable correlation test for analyzing the data? b. Analyze the data by using the calculation method. What percentage of the variance in variable A is influenced by Variable B? Explain your answer. c. Report the results of the analysisTOPIC: MEASURES OF POSITION AND CENTRAL TENDENCYGive an explanation why this statement is either true or false: Portfolio contains n assets. Therefore, portfolio variance for this portfolio is the function of 2n covariances and n variances.
- Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is dependent on the symbols.The result is the same because the formula is not dependent on the symbols. The result is different because the formula is not dependent on the symbols.The result is different because the formula is dependent on the symbols. (b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer. The result is different because the formula is dependent on which values are the x values and which values are the y values.The result is the same because the formula is dependent on which values are the x values and which values are the y values. The result…The top portion of the Pearson's r correlation coefficient equation calculates the______ whereas the bottom portion calculates the___ 1)variance of x and the variance of y; covariance between variables x and y 2)covariance of variable ×; covariance of variable y 3)covariance between variables x and y; variance of x and the variance of y 4)covariance of variable v: covariance of variable x.Which scatter diagram shows the strongest positive correlation? 2) 3) 01
- Taylor Smith, a golf instructor, is interested in investigating the relationship between a golfer’s average driving distance and 18-hole score. She recently observed the performance of six golfers during one round of a tournament and measured, as accurately as possible, the distances (yards) of their drives and noted their final scores. She then computed each golfer’s average drive distance for 18 holes. The results of her sample are shown below. What are the sample covariance and sample correlation coefficient values?Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.If a teacher wants to assess whether positive feedback impacts test performance and she assesses test performance at the beginning and end of a semester in a single group of students, the most appropriate statistical test would be: point biserial correlation independent samples t-test correlated groups t-test pearson's r correlation
