In the linear regression model, the homogeneity of variance assumption basically means: (a) the amount of variance in y is smallest when x is the smallest value considered in the model. O b) the y variance at any given x within the range of the model is constant. ()c) the variance in y at any given x-value is random. ( d) the variance in x at any given y-value is constant.A researcher wants to study the relationship between the supply of a commodity, X and its price, Y (in $100s). He got the following information: E x = 210, Ey = 174, Exy = 7520, X = 35, E x2 = 9100, > >2 = 6280 Calculate Pearson correlation coefficient. O a) 0.03 O b) -0.97 O c) 0.87 O d) 0.79 O e) 0.97You are given the regression model of salary on education below. What is the interpretation of the slop? Salary = - 5,835.10 + 2118.90 Education O a) The salary increases, on average, by $5,835.10 for each one-year increase in education. ()b) The salary increases, on average, by $2118.90 for each one-year increase in education. ()c) The salary decreases, on average, by $2118.90 for each one year increase in education. ()d) The salary increases, on average, by $2118.90 for each two-year increase in education