In: Statistics and Probability
Use the data (12, 55), (15, 62), and (20, 80) to calculate the likelihood value for the parameter values β0 = 15 and β1 = 3 when assume σ = 2. Please show all calculations.
First we want estimates of parameter B0 and B1 which can be calculated using OLS
now using above formulas we can
Therefore
B1 = =
B1 = 3.17 ~~ 3
B0= Ybar- B1*Xbar
B0 =65.67 - (3.17*15.67)
Bo = 15.99 ~~ 15
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Thank You !