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Download and import the attached MATLAB workspace file data. mat. It contains an unknown set of data, x, that we would like to perform an
Download and import the attached MATLAB workspace file data. mat. It contains an unknown set of data, x, that we would like to perform an exploratory data analysis on. In MATLAB, determine the mean, variance, interquartile range and the coefficients of skewness and kurtosis of x. Comment on the coefficients of skewness and kurtosis. In the workspace, there is a second set of data y. Using MATLAB, compute the covariance and correlation coefficient between the two data sets, x and y. Provide a scatter plot with a line of best fit. Comment on any relationship that may be apparent between x and y based on the statistical tools used above. Next perform a two-tailed 'z-test' at a significance level of 0.05 to ascertain whether or not y comes from a normal distribution with mean 0 and a (known) standard deviation of 2. As part of your answer provide your null and alternative hypotheses, the calculated p-value and the outcome from the test as well as any MATLAB code used to obtain the result. Let X and Y represent two standard normal random variables. Let R represent a third random variable which is formed from X and Y as follows: R = VX2 + Y2 In MATLAB, generate 10,000 realisations (i.e. random values) of R. Following from this, plot the empirical CDF of the generated data
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