Given a cross power spectrum, Sxy (@) = XY Find the cross correlation function. anned with CamScanner 8 (a + jw)³ where a > 0 is a constant.
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- b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.Compute r, the correlation coefficient, using the following data. x 1 5 3 6 4 7 y 7 3 6 3 4 2 R =(Round to three decimal places.)The following table shows the magnitude of earthquakes on the Richter scale, x, and the corresponding depth of the earthquakes (in kilometers) below the surface at the epicenter of the earthquake. Find the correlation coefficient of the following pairs of data: x = earthquake magnitude 2.9 4.2 3.3 4.5 2.6 3.2 3.4 y = depth of earthquake (in km) 5 10 11.2 10 7.9 3.9 5.5
- b.Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. find the critical valuesLet Z~Normal(0,1). Define X1 = Z and X2 = Z2. Calculate the Spearman correlation coefficient for the pair (X1, X2).find the coefficient of determination, given that the value of the linear correlation coefficient,r, is -0.603.
- Use the following table to find the linear correlation coefficient between x and y x112432y311234A researcher obtained the following results for a study: n = 44, SSy = 340603, SSx = 33712, B̂ = 2.0025 Find the correlation for these results?Given that SSxx=265, SSyy=172, and SSxy=184, What is the value of the correlation coefficient?