Answer the following: STATISTICS AND PROBABILITY Week 5 1. Computer for each of the following: a. Ex = 225; Σy = 225; Σx2 = 9653; Σy = 143; Σxy = 651; n = 6 Σx = 32; Σy = 1105; Σx2 = 220 ; Ey? = 364525; Σxy = 3402 ; n = 6 c. Σx = 180 ; Σy = 147; Σx2 = 6914; Σy2 = 5273; Exy = 4013 ; n = 7 b. 2. Compute and interpret r for the following data given: a. age of a person, in years Weight, in kg b. age of a car, in years Mileage, in km/liter C. No. of hours spent in safety training No. of hours lost due to accidents 11 40 42 0.5 1 16 15 13 14 15 16 38 35 45 51 1.5 2 10 12 5. What is the difference Exy and x-y? 6. What is the difference between Σx² and (x)²? 3 10 Month Jun Jul Aug Sep Oct Number of theft cases 6 15 30 12 Number of vandalism cases 3 6 15 5 5 7 What conclusion can be derived from the study? 4 12 20 30 40 50 60 70 80 100 90 85 60 80 50 17 18 19 48 48 50 20 9 2 0 4.5 5 6 7 11 10 11 8 3. A group of research students wants to determine whether there is a correlation between the number of theft cases x and the number of vandalism cases y incurred in their school. Data for one school year show the following: 20 47 90 100 110 30 30 20 10 Nov Dec Jan Feb Mar 10 11 28 21 4 12 4. The following are the heights of a father and his eldest son, in inches: Height of the father 71 67 68 68 66 70 72 65 60 Height of the son 71 69 69 65 66 63 68 70 60 58 Do the data support the hypothesis that height is hereditary? Explain. Accompany your explanation with statistical computations.

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