Find the covariance between X and Y. Please provide the solution step by step.
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- Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.A researcher is interested in studying how the number of books parents read to their children can influence a child's reading skills in kindergarten. She randomly assigns families with 5 year old children to either read their child 3 books per day, 2 book per day, or 1 book per day for the first 2 months of kindergarten. They then measure the children's reading ability. How could the confound be fixed for this scenario? Be sure to tell me what technique you are using (constancy, repeated measures, randomization, elimination, or balancing), as well as how you would apply that technique to this specific scenario, and how that would fix this confound.A motorcycle drives from Buendia to Quiapo and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Beundia to Quiapo and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by X y 1 2 3 4 0.01 0.01 0.03 0.07 0.01 1 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01
- Which option shows a positive linear association between the variables?A set of n=6 ordered pairs has the following sums: Sum x=64 Sum xsqrt=814 Sum y=85 Sum y sqrt =1351 Sum xy = 1039 Predict the value of y when x=11 Predict the value of x when y=19 Find the coefficient of linear correlation Are the predictions reliable?The value of Fcalc increases as A. variability due to chance decreases B. variability due to chance increases C. as the number of observations in each group decreases D. cannot be determined since F is fixed