Using 27 observations on each variable, a computer program generated the following multiple regression model. y = 52.8 + 6.67x - 2.05x,+4.69.x3- 7.22x4 If the standard errors of the coefficients of the independent variables are, respectively, 2.72, 1.35, 3.19, and 2.96, can you conclude that the independent variable x, is needed in the regression model? Let B,, B, ..., B, denote the coefficients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.10 to determine your answer. |(a) State the null hypothesis H, and the alternative hypothesis H,. B H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to two or more decimal places.) O

Using 27 observations on each variable, a computer program generated the following multiple regression model. y = 52.8 + 6.67x - 2.05x,+4.69.x3- 7.22x4 If the standard errors of the coefficients of the independent variables are, respectively, 2.72, 1.35, 3.19, and 2.96, can you conclude that the independent variable x, is needed in the regression model? Let B,, B, ..., B, denote the coefficients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.10 to determine your answer. |(a) State the null hypothesis H, and the alternative hypothesis H,. B H :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to two or more decimal places.) O

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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