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.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?

Question

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.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?

Quizplus · Accepted Answer

The Answer of 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.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?

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