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 correlation coefficient. Interpret the correlation coefficient/results with respect to the hypothesis. 4. Is your hypothesis supported? How do you know? 51.4 13.7 53.2 14.2 55.7 14.8 57.9 15.4 60.6 16.2 62.7 16.8 65.2 17.9 66.6 18.9 68.9 20.5 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 82.5 38.2 84.0 41.2 849 44.9 84.5 49.2 84.2 54.5 85.8 59.6 85.3 64.1 88.0 66.8 90.2 69.7 91.7 73.1 94.1 768 94.0 79.8 94.7 83.6 95.5 85.9 96.1 90.8 96.7 95.1 100.0 100.0 100.1 102.5 100.7 104.4 101.0 106.8 103.7 110,7 105.4 114.9
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
where Y represents hourly worker compensation in dollars) and X represents hourly production of microchips (e.g., 50.5=5
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where Y represents hourly worker compensation in dollars) and X represents hourly production of microchips (e.g., 50.5=5
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