Question

Use the following table to answer the questions. (Give your answers correct to two decimal places.)

x 1 1 3 3 5 5 7 7 9 9
y 3 2 6 1 3 3 3 2 5 3

(a) Find the equation of the line of best fit.
y hat = + x

(ii) Graph this equation on a scatter diagram. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Find the ordinates y hat for the points on the line of best fit whose abscissas are x = 1, 3, 5, 7, and 9.
1 Incorrect: Your answer is incorrect. .
3 Incorrect: Your answer is incorrect. .
5 Incorrect: Your answer is incorrect. .
7 Incorrect: Your answer is incorrect. .
9 Incorrect: Your answer is incorrect. .

(c) Find the value of e for each of the points above (e = y - y hat).
y e y e
3 Incorrect: Your answer is incorrect. . 3 Incorrect: Your answer is incorrect. .
2 Incorrect: Your answer is incorrect. . 3
6 Incorrect: Your answer is incorrect. . 2 Incorrect: Your answer is incorrect. .
1 5
3 3

(d) Find the variance se2 of those points about the line of best fit.