2) A cognitive psychologist studying the structure of intelligence obtained the following scores for verbal reasoning and numerical ability for six female students. (Z scores are provided.) Student Verbal reasoning Zx Numerical ability ZY A 1.6 -1.1471 2 -0.7746 6.1 0.7648 0.0000 1.8 -1.0622 0.3873 3.3 -0.4249 -1.1619 48 0.2124 0.3873 8 7 1.6570 1.9365 a. Make a scatter diagram of the raw scores. b. Describe in words the general pattern of association, if any. Figure the correlation coefficient. Complete the table purple shaded in the table below. Student Verbal Zx Numerical reasoning ZY Cross product ability 2x Zy A 1.6 -1.1471 2 -0.7746 0.89 B 6.1 0.7648 + 0 0.00 C 1.8 1.0622 3 0.3873 0.41 D 3.3 -0.4249 1.1619 0.49 4.8 0.2124 5 0.3873 F .657 1.9365 SUM N = r = Sum 2.ZY N d. Determine whether the correlation is significant using the .05 level and a two-tailed test. df = N-2 t = (1-12) cutoff score: t( ) = _+ (4) needed = N-2 df = What is the conclusion of this t test? Is it significant? e. Give three logically possible directions of causality, saying for each whether it is a reasonable direction in light of the variables involved and why