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# CALCULATE SP (THE SUM OF PRODUCTS OF DEVIATIONS) FOR THE FOLLOWING SCORES.

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Author: Christine Farr
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Calculate SP (the sum of products of deviations) for the following scores.X Y3 34 10 92 21 52. For the following scores, compute the Pearson correlation.X Y4 47 73 71 25 64 43. Even a very small effect can be significant if the sample is large enough. Suppose, for example, that a researcher obtains a correlation of r=0.60 for a sample of n=10 participants.a. Is this sample sufficient to conclude that a significant correlation exists inthe population? Use a two-tailed test with α=.05.b. If the sample had n=25 participants, is the correlation significant? Again,use a two-tailed test with α=.05.4. For the data below:a. Find the regression equation for predicting political participation from lifesatisfaction.b. Using α=.05, test the significance of the regression equation.X Y5 103 66 74 32 45. There appears to be some evidence suggestion that earlier retirement may lead to memorydecline (Rohwedder & Willis, 2010). The researchers gave a memory test to men andwomen aged 60 to 64 years in several countries that have different retirement ages. Foreach country, the researchers recorded the average memory score and the percentage ofindividuals in the 60 to 64 age range who were retired. Note that a higher percentageretired indicates a younger retirement age for that country. The following data are similarto the results from the study. Use the data to find the regression equation for predictingmemory scores from the percentage of people aged 60 to 64 who are retired.Country % Retired (X) Memory Score (Y)Sweden 39 9.3U.S.A. 48 10.9England 59 10.7Germany 70 9.1Spain 74 6.4Netherlands 78 9.1Italy 81 7.2France 87 7.9Belgium 88 8.5Austria 91 9.0

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