From the following table, calculate the coefficient of correlation by Karl Pearson's method: 8. 7 6. 2 10 4 11 8 Arithmetic means of X and Y series are 6 and 8 respectively.
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- Suppose you have a sample of size n for variables X and Y. The sample covariance of X and Y is Cov(X,Y) = 1,000, the sample standard deviation for X is Sx=20 and the sample standard deviation for Y is SY=75. What is the sample correlation coefficient, r?Consider two securities, the first having μ1 = 1 and σ1 = 0.1, and the secondhaving μ2 = 0.8 and σ2 = 0.12. Suppose that they are negatively correlated,with ρ = −0.8. Denote the expected return and its standard deviation as functions of π byμ(π ) and σ (π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as πvaries from 0 to 1. Plot this curve in R.2 - What is the median value of the classified frequency series given in the table below? calculate.A) 111.2B) 112.1C) 113.5D) 112.6E) 110.9
- A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.For two random variables X and Y that follow exponential distributions with rates λ1 and λ2 respectively, calculate E(E(X|Y )) when the correlation between X and Y is ρ = 0.5.Find Pearson’s r for the following data, and then test the null hypothesis that the correlation coefficient is equal to zero. Use a Type I error probability of 0.05 .
- From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 5 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, the joint probability distribution of X and Y is given by the accompanying function. Determine the correlation coefficient between X and Y. What is PXY equal to?A random sample of n = 16 scores is obtained from a population with a mean of μ = 80, and a treatment is administered to the sample. After treatment, the sample mean is found to be M = 82. Assuming the sample variance is s 2 = 1600, what is the estimated d?Suppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05. (a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain. (b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain.
- A. To test for the significance of the phi correlation, one must use the ______________ distribution. Group of answer choices: 1.t 2. Chi-square 3. z 4. F B. To test for the significance of a Pearson correlation, one must use the ______________ distribution. Group Answer Choices: 1. F 2. Chi-square 3. z 4. tA researcher obtains M = 45 with SS = 250 for a sample of n = 10 women and M = 49 with SS = 270 for a sample of n = 10 men. If the two samples are used to evaluate the mean difference between the two populations, what value will be obtained for the t statistic?ON QUESTION F HOW WOULD I SHOW THE EVENT IN EXCEL FORMULA?