(a) One would think that a higher stock return would lead to a higher compensation. Based on​ this, what would likely be the explanatory​ variable?   A.Stock return   B.Compensation   ​(c) Determine the linear correlation coefficient between compensation and stock return.   r=____? ​(Round to three decimal places as​ needed.)

The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent  y- Annual Yield(percentage) - range: 12 o 81 percent Σxi = 1612  Σyi = 898 Σxiyi = 44,377 Σxi2 = 89,790 Σyi2 = 35,704 a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate. b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept estimate.   Assume the following sum of…

The histogram below shows the distribution of annual growth rate in travel spending for 52 companies in the United States. Frequency 20+ 15 10 5 2 0+ 2 0 6 3 11 19 4 1 Annual Growth Rate (%) After creating this graph, it was discovered that the values for the companies with the 20 largest reported annual growth rates were miscalculated. In fact, each of these top 20 companies should have a higher value of annual growth rate than was previously reported. Which of the following statements must be true? (A) If you were to make a graph with the corrected values, the graph would be skewed to the left. (B) If you were to make a graph with the corrected values, the graph would be symmetric. (C) If you were to calculate the median with the corrected values, the new median would be greater than the old median. (D) If you were to calculate the interquartile range (IQR) with the corrected values, the new IQR would be the same as the old IQR. (E) If you were to find the value of the third quartile…

a. Calculate the sample covariance.X Y-3 -913 95 12b. Calculate the sample correlation.c. Describe in words the information given to us by the sample covariance and by the sample correlation.Explain how the correlation gives us more precise information.d. Explain why the covariance is not a good measure of the strength of the linear relationship between the twovariables.e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.

For each problem, select the best response. (a) In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see A. a positive association. B. very little association. C. a negative association. D. None of the above. (b) If the correlation between two variables is close to 0, you can conclude that a scatterplot would show A. a cloud of points with no visible pattern.B. no straight-line pattern, but there might be a strong pattern of another form. C. a strong straight-line pattern. D. None of the above. (c) You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the x -axis A. is the price of gasoline. B. can be either oil price or gasoline price. C. is the price of oil. D. None of the above.

There are two underlying assets in an asset pool. Each has a 2.8 percentchanges of failing. You own an asset that will pay $1 unless both assets fail. Graph theprobability of your asset not paying as the correlation between the two input assets runsfrom 0.5 to 0.98. For what levels of correlation is the output asset investment grade

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A2. A study of test results at different schools shows that as the student-to-teacher ratio increases the average test result tends to decrease, although the relationship is quite weak. Which of the following is plausible value for the correlation between student-to- teacher ratio and average test results? A -0.9 B -0.3 C -0.01 D 0.3 E 0.9

Explain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two variables is (a) perfect positive, (b) perfect Negative, (c) zero?

12.2 ONLY!