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October 25, 2014

October 25, 2014

Posted by **tracy12** on Sunday, June 23, 2013 at 8:57pm.

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.1.5 .

3 Incorrect: Your answer is incorrect.2.5 .

5 Incorrect: Your answer is incorrect.3.5 .

7 Incorrect: Your answer is incorrect.4.5 .

9 Incorrect: Your answer is incorrect.5.5 .

(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.-0.5 . 3 Incorrect: Your answer is incorrect.0.5 .

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.

- math -
**MathMate**, Monday, June 24, 2013 at 6:00amThis is similar to a previous question.

I believe it would do you good to plot the scatter diagram and calculate the regression line according to the formula.

Post again if you have difficulties.

For your information, the regression coefficient a is between 0 and 0.2, the constant b is between 2 and 3.

The formula for se² has been given in the answer of your previous post.

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