Curve fitting the following application of linear algebra to curve fitting is explained in greater detail in section $3.7 of your text (page 218). (a) determine the equation of a line passing through the points (-1,-2) and (3,2) in the following way. assume the line has equational form and put both data points into equation (1) to get two equations in the two unknowns co and cy. write this system of equations as a matrix equation of the form: ax - b now use any linear algebra technique you like (row reduction on the augmented matrix, cramer's rule, or compute a-b) to solve for the unknowns x (co, c).

Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 7 5 11 14 which of the following is a scatter diagrams accurately represents the data? what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? try to approximate the relationship betwen x and y by drawing a straight line through the data. which of the following is a scatter diagrams accurately represents the data? develop the estimated regression equation by computing the values of b 0 and b 1 using equations (14.6) and (14.7) (to 1 decimal). = + x use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal). =