2. Determine the correlation between the height, x, and the weight,y, of 10 students. Height (it) 5.91 577 4.72 6.40 5.22 6 07 5.45 5 66 4.89 5.51 Weight ( Ibs) 38 56 53 92 88 80 61 65 46 78 A. The height and weight of 10 students have high positive correlation. B. The height and weight of 10 students have very high negative correlation C. The height and weight of 10 students have moderate negative correlation D. The height and weight of 10 students have moderate positive correlation. Solution X y xy 5.91 88 5.77 56 4.72 53 6.40 92 5.22 88 6.07 80 5.45 61 5.66 65 4.89 46 5.51 78 Ex = Ey = Exy = E x2 = Ey?=Construct a scatter diagram and find the relationship between the dependent and the ndependent variables. Show your solutions. The president of a company wants to determine if there is a relationship between the number of times their television commercial is aired in a week, x, and the total sales of the product, y. Number of 5 9 13 15 18 times (x) 81 Sales in 55 60 63 70 78 thousand pesos (y) A. The number of times their television commercial is aired in a week and the total sales of the product have a very high positive correlation, B. The number of times their television commercial is aired in a week and the total sales of the product have a very high negative correlation. C The number of times their television commercial is aired in a week and the total sales of the product have a moderate positive correlation. D. The number of times their television commercial is aired in a week and the total sales of the product have a low negative correlation. Solution: y xy 5 55 9 60 9 63 13 70 15 78 16 81 Ey = Exy =Find the equation of the regression of each problem 1. Weekly sales of a popular brand of chocolate and its price Price (x) 15 9 8 3 2 Sales (y) 2 5 5 0 8 9 Solution: 2. The age, x (in months) and the vocabulary, y measured from six children Age (x) 13 18 24 30 36 45 Months (y) 9 17 24 35 49 60 Solution: 3. The total number of teaching hours in a week, x per instructor and the number of days he/she feels stressed, y Hours (X) 24 30 36 38 42 45 Days (y) 2 3 4 5 6 Solution