Y Values = 3.1, 3.6, 3.8, 4, 4.1 X Values = 60, 61, 62, 63, 65 carry out all ans

Question

Y Values = 3.1, 3.6, 3.8, 4, 4.1

X Values = 60, 61, 62, 63, 65

carry out all answers to 3 decimal places. Do not round answers up or down.

1. Calculate the regression coefficients a and b b=? 1 a=?

2 2. Form the regression equation Y=?

3 3. Calculate the standard error of estimate and the standard error of Coefficient Standard error of estimate = ?

4 Standard error of Coefficient = ?

4. Make a prediction of Y when X = 64. Prediction y=?

5. Calculate a 95% prediction interval when X = 64. Predicted value of y will lie between the (lower value) =?

and (higher value) =?

6. Compute the coefficient of determination. Coefficient of determination =?

Explanation / Answer

1. b = 0.188, a = -7.963

2. Y = -7.963 + 0.188X

3. Standard error of estimate = 2.431, Standard error of Coefficient = 0.039

4. Prediction Y = 4.058

5. Predicted value of y will lie between the (lower value) = 3.695 and (higher value) = 4.421

6. Coefficient of determination = 0.8315

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