In a laboratory experiment, data were gathered on the life span (Y in months) of 33 rats, units of daily protein intake (X1), and whether or not agent X2 (a proposed life extending agent) was added to the rats diet (X2=0 if agent X2 was not added, and X2 = 1 if agent was added.) from the results of the experiment, the following regression model was developed.

^y = 36+0.8X1-1.7X2 SSR=60 SST=180

Predict the value of the life expectancy of a rat that was given 3 units of protein daily, and who had 2 agents of X2 added to the rats?

Question

Marques English

Mathematics

25 July, 14:46

In a laboratory experiment, data were gathered on the life span (Y in months) of 33 rats, units of daily protein intake (X1), and whether or not agent X2 (a proposed life extending agent) was added to the rats diet (X2=0 if agent X2 was not added, and X2 = 1 if agent was added.) from the results of the experiment, the following regression model was developed.

^y = 36+0.8X1-1.7X2 SSR=60 SST=180

Predict the value of the life expectancy of a rat that was given 3 units of protein daily, and who had 2 agents of X2 added to the rats?

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Answers (1)

Know the Answer?

Maci Sampson · Answer 1

35.03

Step-by-step explanation:

The estimated regression line is

y^=36+0.81 X1-1.7 X2.

The predicted value of life expectancy of a rat that was given 3 units of protein daily, and who had 2 agents of X2 added to the rats can be found by putting X1=3 and X2=2 in the above estimated regression equation.

y^=36+0.81 (3) - 1.7 (2)

y^=36+2.43-3.4

y^=38.43-3.4

y^=35.03.