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A First-Order Model Was Used in Regression Analysis Involving 25

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A first-order model was used in regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables x1,x2,and x3.The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050.In addition,the following is a partial computer printout. A first-order model was used in regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables x<sub>1</sub>,x<sub>2</sub>,and x<sub>3</sub>.The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050.In addition,the following is a partial computer printout.    a.Develop the ANOVA table. b.Is there enough evidence at the 5% significance level to conclude that the model is useful in predicting the value of y? c.Test at the 5% significance level to determine whether x<sub>1</sub> is linearly related to y. d.Is there sufficient evidence at the 5% significance level to indicate that x<sub>2</sub> is negatively linearly related to y? e.Is there sufficient evidence at the 5% significance level to indicate that x<sub>3</sub> is positively linearly related to y?
a.Develop the ANOVA table.
b.Is there enough evidence at the 5% significance level to conclude that the model is useful in predicting the value of y?
c.Test at the 5% significance level to determine whether x1 is linearly related to y.
d.Is there sufficient evidence at the 5% significance level to indicate that x2 is negatively linearly related to y?
e.Is there sufficient evidence at the 5% significance level to indicate that x3 is positively linearly related to y?


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