hat is the orthogonality assumption in OLS, taking Y = a + bX as odel, and the error term is e? (e is epsilon)

Use the formula to calculate the linear correlation coefficient for data with the following summary statistics:

Random variables X and Y have the joint PMF with a constant k (kxy, х — P(x,y) = { 0, 1,4; y = 1,3 otherwise Find the

Compute co-efficient of correlation from the following given results: x =10, Edx = 0. Edy = 0, E(x-K)? = 1350, Ety-7}²= 2180 and E(x-X) (y-7) =1590

If Cov(X,Y)=-99, o? = 121 and o = 81 then, coefficient of correlation r(X, Y) will be %3D Select one: O +1.000 O - 1.000 O +0.0101 0.0101 PREVIOUS PAGE re to search 立

tion 1 of 14 > Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for cach graph. 10 20 Variable Variable I Answer Bank r= 0.4 r= -0.8 r=-0.99 r= 0.0 r= 0.9 0.2 02 04 0.6 os 10 10 Variable I Variable I Variable 6 Variable 5

The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174

Below is the SPSS output for the relationship between height at age 3 (X) and at age 20 (Y). Correlations   heightAt3 heightAt20 heightAt3 Pearson Correlation 1 .840** Sig. (2-tailed)   .000 N 16 16 heightAt20 Pearson Correlation .840** 1 Sig. (2-tailed) .000   N 16 16 **. Correlation is significant at the 0.01 level (2-tailed).   ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 236.838 1 236.838 33.628 .000b Residual 98.599 14 7.043     Total 335.438 15        Dependent Variable: heightAt20  Predictors: (Constant), heightAt3   Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 41.679 4.470   9.325 .000 heightAt3 .664 .114 .840 5.799 .000  Dependent Variable: heightAt20   State hypothesis for the…

Assume that the computed correlation between x and y is -0.13. Suppose we define a new variable s= -x and t= y + 6. What is thecorrelation between s and t?

We can use lenght of a man's hand span to predict his height, with correlation coefficient of r = 0.60. If we change out measurements from sm to m, the new corrrelation will be