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Lesson #14 Assignment1. For the following set of data, _____________X____Y__1 02 24 65 83 4__________a. Sketch a graph showing the location of the five X, Y points.b. Just looking at your graph, estimate the value of the Pearson correlation.c. Compute the Pearson correlation for this data set.2. It is well known that similarity in attitudes, beliefs, and interests plays an important rolein interpersonal attraction (see Byrne, 1971, for example). Thus, correlations for attitudesbetween married couples should be strong. Suppose a researcher developed a questionnairethat measures how liberal or conservative one's attitudes are. Low scores indicate that theperson has liberal attitudes, whereas high scores indicate conservatism. The followinghypothetical data are scores for married couples.________________________________Couple____Wife___Husband____A 11 14B 6 7C 18 15D 4 7E 1 3F 10 9G 5 9H 3 3______________________________Compute the Pearson correlation for these data, and determine whether or not there is a significant correlation between attitudes for husbands and wives. Set alpha at .05, two tails.3. Assuming a two-tailed test with α = .05, how large a correlation is needed to be statisticallysignificant for each of the following samples?a. A sample of n = 15 individualsb. A sample of n = 30 individualsc. A sample of n = 92 individuals4. A psychologist would like to determine whether there is any consistent relationshipbetween intelligence and creativity. A random sample of n = 18 people is obtained and thepsychologist administers a standardized IQ test and creativity test to each individual. Usingthese data, the psychologist obtains a Pearson correlation of r = +0.20 between IQ andcreativity. a. Do the sample data provide sufficient evidence to conclude that a real (nonzero) correlation exists in the population? Test at the .05 level of significance.b. If the same correlation, r = 0.20, was obtained for a sample of n = 102 people, whatdecision would be made about the population correlation?5. For the following set of data,_____________X____Y__1 24 73 52 1 5 143 7__________a. Compute the Pearson correlation.b. Find the linear regression equation for predicting Y from X.c. Use the regression equation to compute the predicted Y for each value of X.
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