are multiple correlation coefficient and Crample 17.10 From a trivariate distribution, the following correlation coefficients are obtaineed. 12 = 0.7 Show that 1- R23 = (1 – ri23) (1 -ri3,2), where R1,23 partial correlation coefficient, respectively. 123 = 0.4. and r "13 = 0.6, 13.2
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- From the data of the following table: Calculate Spearman's rank correlation coefficient between x and y and determine its type. sEven a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation (computed from the raw data) of r = 0.60 for a sample of n = 10 participants. a. Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r. b. If the sample had n = 25 participants, is the correlation significant? Again, use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r.As we have noted in previous chapters, even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation (computed from the raw data) of r = 0.60 for a sample of n = 10 participants. (4 pts. total) Is this sample sufficient to conclude that a significant correlation exists in the population? Use a two-tailed test with α = .05. In your response, be sure to specify the critical value for r.
- For a data set of brain volumes (cm3) and IQ scores of twelve males, the linear correlation coefficient is found and the P-value is 0.242. a. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is %Compute the correlation coefficient, r for the data set: (0, −2) (1, 4) (2, 2) (Hint: Use your answers from Problem 2, since it is the same data set and recall that r = (sigma-sign)ZxZy/n-1 where zx is the z-score for x-coordinate and zy is z-score for y-coordinate.)1. The linear correlation coefficient r is Round to three decimal places as needed.) 2. The test statistic t is (Round to three decimal places as needed. 3. The P-value is (Round to three decimal places as needed.
- Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If we calculated the correlation coefficient r for this data, what would it be? What would that mean for our hypotheses?Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?