Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The test statistic for testing the significance of the model is

A) 0.50 B) 5.00 C) 0.25 D) 0.33 A) 0.50 B) 5.00 C) 0.25 D) 0.33

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.The life expectancy of a rat that was not given any protein and that did not take agent X2 is

A) 36.7 B) 34.3 C) 36 D) 38.4 A) 36.7 B) 34.3 C) 36 D) 38.4

Multiple regression analysis was used to study the relationship between a dependent variable,Y,and three independent variables X1,X2 and,X3.The following is a partial result of the regression analysis involving 20 observations. a.Compute the coefficient of determination. b.Perform a t test and determine whether or not $\beta$1is significantly different from zero ($\alpha$ = 0.05). c.Perform a t test and determine whether or not $\beta$2 is significantly different from zero ($\alpha$ = 0.05). d.Perform a t test and determine whether or not $\beta$3 is significantly different from zero ($\alpha$ = 0.05). e.At \9\alpha\) = 0.05,perform an F test and determine whether or not the regression model is significant.

a.0.42857 b.t = 5;p-value < .01;reject H

Exhibit 16-4 In a laboratory experiment,data were gathered on the life span (Y in months)of 33 rats,units of daily protein intake (XS1U1B11S1U1B0),and whether or not agent XS1U1B12S1U1B0 (a proposed life extending agent)was added to the rats diet (XS1U1B12S1U1B0 = 0 if agent XS1U1B12S1U1B0 was not added,and XS1U1B12S1U1B0 = 1 if agent was added. )From the results of the experiment,the following regression model was developed. Also provided are SSR = 60 and SST = 180. -Refer to Exhibit 16-4.From the above function,it can be said that the life expectancy of rats that were given agent X2 is

A) 1.7 months more than those who did not take agent X2 B) 1.7 months less than those who did not take agent X2 C) 0.8 months less than those who did not take agent X2 D) 0.8 months more than those who did not take agent X2 A) 1.7 months more than those who did not take agent X2 B) 1.7 months less than those who did not take agent X2 C) 0.8 months less than those who did not take agent X2 D) 0.8 months more than those who did not take agent X2