Question

4.4 It is well known that similarity in attitudes, beliefs, and interests plays an important role in interpersonal attraction (see Byrne, 1971, for example). Thus, correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservatism. The following hypothetical data are scores for married couples. Couple Wife Husband luwaNOWN PSYC 2317 Mark W. Tengler, M.S. Compute the Pearson correlation for these data (previous page), and determine: a. whether or not there is a relationship between attitudes for husbands and wives (yes or no). Explain your answer. what type of relationship there is, if any (positive or negative). Explain your answer. how strong or weak the relationship is, if any. How do you know?

Answer 1

X Values Y Values NNOWNA UT WONOWN Y Values X Values X - My Y-M -0.875 2.125 0.125 -0.875 1.125 -1.875 0.125 0.125 2.750 -2.250 -1.250 1.750 -2.250 1.750 -1.250 0.750 (X-M,12 0.766 4.516 0.016 0.766 1.266 3.516 0.016 0.016 (Y - MX)2 7.562 5.062 1.562 3.062 5.062 3.062 1.562 0.562 (X - MXXY - My -2.406 -4.781 -0.156 -1.531 -2.531 -3.281 -0.156 0.094 Mx: 1.875 My: 4.250 Sum: 10.875 Sum: 27.500 Sum: -14.750 Result Details & Calculation Key X Values 2 = 15 Mean = 1.875 20X - Mx)2 = SSx = 10.875 X: X Values Y Y Values My Mean of X Values M: Mean of Y Values X - MX & Y - My Deviation scores (X - MX) & (Y - MyH: Deviation Squared (X-M.MY - Myl: Product of Deviation Scores Y Values = 34 Mean = 4.25 EXY - My)2 = 55y = 27.5 X and Y Combined N=8 2(x - MMY - M = -14.75 R Calculation r=EUX - My XY-Mx))/ VISS XSS) r = -14.75 / (10.875X27.5)) = -0.8529 Meta Numerics (cross-check) r=-0.8529 The value of Ris -0.8529.

Ange The pearson Correlation coeffickost Y = -0.8529 9.Yes. There as relationship between attitudes for husband wives since Txy = -0.8529 b. There is negative relationship, because we get pearson Correlation in negative value. ci since re -0.8529 <0.50, we could derive such as weak relation between them.
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