Answer Happy

where Y represents hourly worker compensation (in dollars) and X represents hourly production of microchips (e.g., 50.5=50.5 chips): 1. State your hypothesis. 2. What are your cases/unit of analysis? 3. Calculate the regression equation (intercept and slope) and R2 4. Interpret the equation results (intercept, slope, r and R) with respect to the hypothesis. 4. Lastly, what are the implications of reversing the causal direction (try it and see: make x into y and y into x)? X Y 514 13.7 532 142 55.7 148 579 15:4 60.6 16.2 62.7 168 65.2 179 66.6 18.9 68.9 205 69 2 21.9 70.6 23.6 73.6 25.1 76.0 26.7 78.4 29.0 77.1 31.8 79.8 35.1 825 382 84.0 41.2 84.9 449 84.5 492 84 2 545 85.8 59.6 85.3 64.1 88.0 66.8 90.2 69.7 91.7 73.1 94.1 768 940 79 8 94.7 83.6 955 859 96.1 90.8 96.7 95.1 100.0 100.0 100.11025 100.7 104.4 1010 106.8 103.7 110.7 105.4 114.9 2

1. Example age and memory Table R: Calculating correlation coefficient, regression coefficient, intercept, R x Deviations y Deviations x Deviationsfy Deviations product x, y deviations Age(x) Memory Testy + (x - 2) +0,- *(x,- *) 7.0; -2.(x-2) 7 0,- y) 3.1 18 19 20 21 22 23 24 25 26 27 22.5 2.7 3.2 3.4 3.2 3.5 4 3.8 3.4 3.6 3.39 -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5 -0.29 -0.69 -0.19 0.01 -0.19 0.11 0.61 0.41 0.01 0.21 20.25 12.25 6.25 2.25 0.25 0.25 2.25 6.25 12.25 20.25 0.0841 0.4761 0.0361 0.0001 0.0361 0.0121 0.3721 0.1681 0.0001 0.0441 1.305 2.415 0.475 -0,015 0.095 0.055 0.915 1.025 0.035 0.945 = 22.5 = 3.39 variation variance standard dev = 82.50 8.25 2.87 1.23 0.12 0.35 Covariation = Covariance = 7.25 0.725 pearon's r = covariance/Sdx Sdy =0.725/(2.87*0.35) 2.722