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11.18 Computing from a data set of ( x, y) values, we obtained the following summary statistics. n=14

xbar=3.5
ybar=2.84
Sxx=10.82
Syy=1.125
Sxy=2.677
please, estimate b0

11.18 Computing from a data set of ( x, y) values, we obtained the following summary-example-1
User QBziZ
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Question 8: The estimated values of b1 is 0.2487 .

Question 9: The estimated values of b0 is 2.0854

Question 10: The SSE for the given data set is 0.462.

According to the image, to estimate b1, we can use the following formula:

b1 = Sxy / Sxx

Substituting the given summary statistics, we get:

b1 = 2.677 / 10.82 = 0.2487

To estimate b0, we can use the following formula:

b0 = ybar - b1 * xbar

Substituting the given summary statistics, we get:

b0 = 2.84 - 0.2487 * 3.5 = 2.0854

Therefore, the estimated values of b1 and b0 are 0.2487 and 2.0854, respectively.

To compute SSE from the given summary statistics, we can use the following formula:

SSE = Syy - b1 * Sxy

where:

Syy is the variance of the y-values

b1 is the slope of the linear model

Sxy is the covariance between the x-values and the y-values

We can calculate b1 using the following formula:

b1 = Sxy / Sxx

where:

Sxx is the variance of the x-values

Substituting the given summary statistics into the above formulas, we get:

b1 = 2.677 / 10.82 = 0.247

SSE = 1.125 - 0.247 * 2.677 = 0.462

Therefore, the SSE for the given data set is 0.462.

User Dine
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