9. From a random sample of 20 observations corresponding to the following linear regression model yi = β0 + β1xi + i, wi
Posted: Wed Jul 06, 2022 12:24 pm
9. From a random sample of 20 observations corresponding to thefollowing linear regression model
yi = β0 + β1xi + i, with∼i.i.d.(0,σ2),i = 1,2,3,...,20
the following summary statistics are obtained:
a) Using the method of least squares, find the estimators of theparameters β0 and β1.Give the variance of the estimates.
20 Σ i=1 20 Yi - Σ Xi Yi 20 Σα; = 21.9 i=1 20 310.28 ) z=1,948.92 i=1 21.9 = i=1 20 Συ = 110.88 i=1
yi = β0 + β1xi + i, with∼i.i.d.(0,σ2),i = 1,2,3,...,20
the following summary statistics are obtained:
a) Using the method of least squares, find the estimators of theparameters β0 and β1.Give the variance of the estimates.
20 Σ i=1 20 Yi - Σ Xi Yi 20 Σα; = 21.9 i=1 20 310.28 ) z=1,948.92 i=1 21.9 = i=1 20 Συ = 110.88 i=1