1. (40 points) Given these data X: y 1 2 4 2 3 8 4 16 a) (10 points) Determine the (2 points) mean, (2 points) standard
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1. (40 points) Given these data X: y 1 2 4 2 3 8 4 16 a) (10 points) Determine the (2 points) mean, (2 points) standard
1. (40 points) Given these data X: y 1 2 4 2 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 (do. c. and az), (4 points) compute the coefficient of determination d) (10 points) Use least-squares regression to fit an exponential equation (y all) 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. a
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