In the context of linear association and correlation coefficient, if E(x – ē)(y – 9) = 630, n = 10, r = 0.8. If we know that 8 = Sy,what is the value of Sz? %3D
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- If there is a very strong correlation between two variables, then the correlation coefficient must beA. any value greater than 1.B. much smaller than 0, if the correlation is negative.C. much larger than 0, regardless of whether the correlation is negative or positive.D. None of these.If the coefficient of determination is equal to 1, then the correlation coefficient is a. 1 b. -1 c. -1 or +1 d. 0If the variables x and y have a strong positive linear correlation, then? r = 0 r is close to 1 r is close to –1 r = 2
- Suppose that X and Y are unknown with E(X) = 20, Var (X) = 4 , E(Y) = 12, and Var (Y) = 16. In addition, suppose that E(XY) = 248. Then what is the correlation of X with Y?A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x). yy^=a+bxa=-1.218b=0.171 (b) Which is a possible value for the correlation coefficient, r? (c) If a country increases its life expectancy, the happiness index will increase or decrease ? (d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness index change? Round to two decimal places. (e) Use the regression line to predict the happiness index of a country with a life expectancy of 59 years. Round to two decimal places.Consider the following regression equation specied for 2-period panel data: where i = 1; 2; :::N and t = 1; 2. If you expect that β_1 is positive, but the correlation between Δx_i and Δu_i is negative, thenwhat is the bias in the OLS estimator of β_1 in the first-differenced equation?
- Which of the following is a possible null hypothesis for a correlational study? Group of answer choices ρxy ≥ 0 ρxy > 0 rxy = 0 ρxy < 0With respect to the use of correlation, which one of the following statements is false a.When both X and Y are measured on an ordinal scale, we use Spearman’s rho. b. When both X and Y are measured on a continuous scale, we use Pearson’s r. c.when both X and Y are measured on an ordinal scale, we use Pearson’s r. d.When the relationship between X and Y is curvilinear, we use the eta correlation coefficient.What will be your comment for Karl Pearson’s correlation coefficient in following cases? a. 0.91 b. 0.65 c. 0.25 d. 0.12 e. – 0.86 f. – 0.45 g. – 0.24 h. +1 i. 0 j. -1
- Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the correlation coefficient is ________. A) −0.632B) 0.70C) 0.632D) −0.7016. For the data shown to the right, determine the linear correlation coefficient using the formulas shown below. Compare your answers in part (a) and (b). x 4 5 1 0 0 y 6 7 0 0 −4 a. Use the definition r=1n−1∑xi−xyi−ysxsy.If there is positive correlation between two sets of numbers, then _______. r > 0 r = 0 r < 0 SSE = 1 MSE = 1