In the following table, the heights and salaries of the knights of 12 kingdoms have been collected. In the table, the lengths are in centimeters and the wages are in the monetary unit of the kingdom in question. (This is the table) Lenght Salary 183 100 160 92 196 106 186 92 195 109 182 101 208 116 169 96 166 94 198 101 145 93 168 96 So the questions regarding this table would be: (a) Fit a linear regression model to the data and determine its PNS estimates αˆ and βˆ. (b) Calculate the prediction for a knight's salary when that knight is 181 centimeters tall. (c) Estimate the variance parameter σ2 of the linear model. R software or other software for linear regressions should not be used to solve this.
In the following table, the heights and salaries of the knights of 12 kingdoms have been collected. In the table, the lengths are in centimeters and the wages are in the monetary unit of the kingdom in question.
(This is the table)
Lenght Salary
183 100
160 92
196 106
186 92
195 109
182 101
208 116
169 96
166 94
198 101
145 93
168 96
So the questions regarding this table would be:
(a) Fit a linear regression model to the data and determine its PNS estimates αˆ and βˆ.
(b) Calculate the prediction for a knight's salary when that knight is 181 centimeters tall.
(c) Estimate the variance parameter σ2 of the linear model.
R software or other software for linear regressions should not be used to solve this.
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