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In a sample of size 20, two variables a: and y have a linear correlation coefficient of 0.5. Which of the following is a valid conclusion? 0 There is a significant linear correlation between m and y at the a z 0.05 significance level, but not at the a = 0.01 significance level. 0 There is a significant linear correlation between a: and y at the a = 0.01 significance level, but not at the a = 0.05 significance level. OThere is no significant linear correlation between a: and y at the a z 0.05 significance level or at the a = 0.01 significance level. 0 There is a significant linear correlation between a: and y at both the a = 0.05 significance level and the 0: = 0.01 significance level. Find the value of 7123333; :3 x: y for the data in the table below. 023 048 O 13 O 17 The significance test for linear correlation between a: and y is valid only under what circumstances? 0 The variables in the population follow a bivariate normal distribution. 0 The sample size is at least 30. O A distinct line is visible in the scatterplot. O The correlation coefficient falls outside the interval from 'rc to Tc. In a sample of size 6, the variables x and y yield the following values: 2:1: = 16, 23; = 14, 29:2 = 56, 23:3; = 23, 23,2 = 50 Find the linear correlation coefficient for m and y. 0 0.325 O 0.279 O 0.077 O 0.943 Which is the most likely value for the correlation coefficient r for the variables X and Y in the scatterplot below? Y 5 O 4 ' .- o . .' . 3 - ' 2 - ' l ... : o O 0.5 00.8 02.0 0 0.9