Suppose we run a multiple regression model with 3 predictors, and find the followir summary output and variance-covariance matrix of the estimators. Coefficients: х1 x2 x3 Estimate Std. Error t value Pr(>|t|) (Intercept) -0.1656 0.6135 -0.270 0.788 XXXXX XXXX XXXX 2.4816 -0.420 0.677 1.5866 -0.225 0.823 3.5200 -1.0411 -0.3563 Residual standard error: 0.967 on 46 degrees of freedom

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Suppose we run a multiple regression model with 3 predictors, and find the following
summary output and variance-covariance matrix of the estimators.
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -0.1656 0.6135 -0.270 0.788
х1
3.5200
XXXXX XXXX XXXX
х2
-1.0411 2.4816 -0.420 0.677
x3
-0.3563 1.5866 -0.225 0.823
Residual standard error: 0.967 on 46 degrees of freedom
Multiple R-squared: 0.04076, Adjusted R-squared: -0.0218
F-statistic: 0.6516 on 3 and 46 DF, p-value: 0.586
(Intercept) х1 х2 х3
(Intercept) 0.38 -0.53 -0.48 -0.68
х1
-0.53 10.56 -4.61 1.27
х2
-0.48 -4.61 6.16 -0.97
x3
-0.68 1.27 -0.97 2.52
The standard error, t statistic and p-value corresponding to x1 have been X'ed out.
What was the value of the t statistic?
Transcribed Image Text:Suppose we run a multiple regression model with 3 predictors, and find the following summary output and variance-covariance matrix of the estimators. Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -0.1656 0.6135 -0.270 0.788 х1 3.5200 XXXXX XXXX XXXX х2 -1.0411 2.4816 -0.420 0.677 x3 -0.3563 1.5866 -0.225 0.823 Residual standard error: 0.967 on 46 degrees of freedom Multiple R-squared: 0.04076, Adjusted R-squared: -0.0218 F-statistic: 0.6516 on 3 and 46 DF, p-value: 0.586 (Intercept) х1 х2 х3 (Intercept) 0.38 -0.53 -0.48 -0.68 х1 -0.53 10.56 -4.61 1.27 х2 -0.48 -4.61 6.16 -0.97 x3 -0.68 1.27 -0.97 2.52 The standard error, t statistic and p-value corresponding to x1 have been X'ed out. What was the value of the t statistic?
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