Question: Q1. The following data are from a study where a psychologist wants to predict how much university undergraduates are willing to donate in dollars (Y)
Q1. The following data are from a study where a psychologist wants to predict how much university undergraduates are willing to donate in dollars (Y) to their student union. The researcher has students give donations suggestions after reading a pamphlet about the benefits of a student union. The students are also given an extroversion (how sociable the student is) questionnaire (X) where 1 means not extroverted and 20 means very extroverted. The PEARSON CORRELATION table value (critical value for correlation; where the calculated correlation must be at or above the table value to be significant) is 0.811
X (extroversion) Y(donation)
92
114
43
51
64
42
For convenience I have calculated
r= +0.40, Sx=2.88, Sy=1.21
Q1A. Plot these data as a scattergram (be sure to label axes).
Q1B. Fully interpret, in easy-to-understand-words, the correlation and also include in the interpretationits significance and coefficient of determination.
Q1C. Calculate the regression to predict donation suggested (Y) from extroversion (X)
Q1D. Use the regression calculation to plot the line of best fit on your scattergram in q1A.
Q1E. If someone gives a has an extroversion score of 5 (X), what do you predict is their donation suggestion (Y) will be and include the central 95% using standard error of estimate?
Q1F. Calculate and explain the coefficient of alienation for these data.
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