Answer Happy

May 4, 2022 1. (40 points) Given these data X/ ya 1 2 2 4 3 8 4 16 a) (10 points) Determine the (2 points) mean, (2 points) standard deviation, (2 points) coefficient of variation for the y values, and (4 points) 98% confidence interval for the mean of y. b) (10 points) Use least-squares regression to fit a straight line to the x and y values. Along with the (4 points) slope and intercept. (2 points) compute the standard error of the estimate and (4 points) coefficient of determination. c) (10 points) Use least-squares regression to fit a second-order polynomial (parabola) to the x and y values. Along with the (6 points) unknown coefficients of the polynomial (an, ai, and az), (4 points) compute the coefficient of determination. d) (10 points) Use least-squares regression to fit an exponential equation (y = a) to the x and y values. Use a transformation of the data to linearize this equation and then employ linear regression to (8 points) determine a and B. Based on your analysis, (2 points) predict y at x = 5.