The correlation matrix between the potential explanatory variables is given: 1 -0,94 -0,40 -0,90 0,69 1 -0,94 0,59 0,92 -0,56 1 0,35 -0,49 -0,90 0,92 0,35 1 -0, 35 0,69 -0,56 -0,49 -0,35 1 Determine the critical correlation coefficient based on the minimax rule. R=0,40 0,59
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- Calculate the Pearson product-moment correlation coefficient, r, between these two sets of data: 1, 1, 2, 2, 2 4, 3, 3, 3, 4What six quantities are needed to compute a correlation coefficient?In a sample of size200,the correlation coefficient is 0.45. Is thecorrelation coefficient is significant under the population. α=0.05
- An urn contains 10 white balls and 8 red balls. 2 balls are selected at random. Let X denote the number of red balls drawn and let Y denote the number of white balls drawn. Find the correlation coefficient between X and Y.Compute the linear correlation coefficient. The linear correlation coefficient for the four pieces of data isAn example of a reserch situation where using a partial correlation may be hepfu.
- If a scatterplot shows strong, negative association and nonlinear form then the correlation r is very close to -1. Select one: True or False1. If someone owns an electric car it is represented by a one and if they don’t it is represented by a zero. If someone owns an electric car and their yearly salary in pounds for four people are (0,80000), (0, 17000), (0, 37000) and (1, 58000) calculate the correlation coefficient.2. How might we interpret this result?Create a correlation matrix Table in APA style to report the correlations among these variables, along with their Ms and SDs.
- Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week. Table :1 Hrs.Worked ( x ) No. of accidents( y ) 30 2 42 3 25 4 44 8 56 5Give a plausible example of a three-variable research problem in which partial correlation would be a useful analysis. Define X1, X2, and Y. Make sure that you indicate which of your three variables is the "controlled for" variable ( X2). What results might you expect to obtain for this partial correlation, and how would you interpret your results (e.g., spurious correlation, mediation, moderation, and so on)?Sarah is conducting a correlation analysis. She creates a correlation matrix with 5 variables, using data from a sample of 37 people. She has decided to conduct her analysis as a one-tailed test with an alpha of .01. What is the critical value for Sarah's correlation?