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.