The personal manager of a company believes that there is a relationahip between absence from work and the age of the employee. In order to study the problem he took into account the age of ten workers chosen at random and counted the days of absence during the year. The results were as seen in the table below.

a) Find the coefficient of determination and justify your answer.
b) Calculate the linear regression line.
c) Check if β0 and β1 are significantly different from zero.

Question

The personal manager of a company believes that there is a relationahip between absence from work and the age of the employee. In order to study the problem he took into account the age of ten workers chosen at random and counted the days of absence during the year. The results were as seen in the table below.

a) Find the coefficient of determination and justify your answer.

b) Calculate the linear regression line.

c) Check if β0 and β1 are significantly different from zero.

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Accepted Answer

(X)  			 (Y) 			X^2 			Y^2 			X*Y 			Y' = 28.4965-0.4681X 			Y-Y' 			(Y-Yi)^2 			(Xi - Xbar)^2 		 		 			45 			8 			2025 			64 			360 			7.4326 			0.5674 			0.3219 			0.25 		 		 			50 			2 			2500 			4 			100 			5.0922 			-3.0922 			9.5617 			30.25

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