c. Identify the factors affecting the endogenous variables. Leave blank if variable is exogenous. W: __________ X: __________ Y: __________ Z: __________ A: __________

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c. Identify the factors affecting the endogenous variables. Leave blank if variable is exogenous.

W: __________

X: __________

Y: __________

Z: __________

A: __________

 

Consider the R outputs from the conducted path analysis.
Coefficients:
(Intercept)
W
Dependent variable: Y
Estimate Std. Error t value Pr(>|t|)
0.963
335.7
7088.7 0.047
20368.8
2152.0
Signif. codes: 0 **** 0.001 ***0.01 *** 0.05 *.' 0.1*
Residual standard error: 17450 on 18 degrees of freedom
Multiple R-squared: 0.8327, Adjusted R-squared: 0.8234
F-statistic: 89.58 on 1 and 18 DF, p-value: 2.068e-08
> 1m.beta(fit.Y)
W
0.9125181
Coefficients:
(Intercept)
X
Y
Z
> 1m.beta(fit.z)
X
Estimate Std. Error t value Pr(>|t|)
6.757e+03 3.605e+03
1.874
-1.719e+03 1.328e+03 -1.294
8.035e-01
Dependent variable: Z
9.465 2.07e-08 ***
Signif. codes: 0 ***** 0.001 **** 0.01 *** 0.05.' 0.11
Residual standard error: 5627 on 17 degrees of freedom
Multiple R-squared: 0.972,
Adjusted R-squared: 0.9687
F-statistic: 294.9 on 2 and 17 DF, p-value: 6.357e-14
-0.08338779 1.04924122
Y
> 1m.beta(fit.A)
W
0.0782.
0.2129
4.934e-02 16.285 8.34e-12 ***
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1833.0488 1878.3151 -0.976 0.34459
-1575.6756 1095.0959 -1.439 0.17073
703.7910 -0.396 0.69753
0.1361 3.032 0.00841 **
0.1395 -1.699 0.10999
-278.8482
0.4128
-0.2370
Dependent variable: A
X
Signif. codes: 0 *****
**¹0.001 **** 0.010.05.0.1'1
Residual standard error: 2656 on 15 degrees of freedom
Multiple R-squared: 0.8928, Adjusted R-squared:
F-statistic: 31.24 on 4 and 15 DF, p-value: 4.088e-07
1
-0.40652867 -0.05965043 2.37732884 -1.04538544
2.37732884 -1.04538544
0.8643
Transcribed Image Text:Consider the R outputs from the conducted path analysis. Coefficients: (Intercept) W Dependent variable: Y Estimate Std. Error t value Pr(>|t|) 0.963 335.7 7088.7 0.047 20368.8 2152.0 Signif. codes: 0 **** 0.001 ***0.01 *** 0.05 *.' 0.1* Residual standard error: 17450 on 18 degrees of freedom Multiple R-squared: 0.8327, Adjusted R-squared: 0.8234 F-statistic: 89.58 on 1 and 18 DF, p-value: 2.068e-08 > 1m.beta(fit.Y) W 0.9125181 Coefficients: (Intercept) X Y Z > 1m.beta(fit.z) X Estimate Std. Error t value Pr(>|t|) 6.757e+03 3.605e+03 1.874 -1.719e+03 1.328e+03 -1.294 8.035e-01 Dependent variable: Z 9.465 2.07e-08 *** Signif. codes: 0 ***** 0.001 **** 0.01 *** 0.05.' 0.11 Residual standard error: 5627 on 17 degrees of freedom Multiple R-squared: 0.972, Adjusted R-squared: 0.9687 F-statistic: 294.9 on 2 and 17 DF, p-value: 6.357e-14 -0.08338779 1.04924122 Y > 1m.beta(fit.A) W 0.0782. 0.2129 4.934e-02 16.285 8.34e-12 *** Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1833.0488 1878.3151 -0.976 0.34459 -1575.6756 1095.0959 -1.439 0.17073 703.7910 -0.396 0.69753 0.1361 3.032 0.00841 ** 0.1395 -1.699 0.10999 -278.8482 0.4128 -0.2370 Dependent variable: A X Signif. codes: 0 ***** **¹0.001 **** 0.010.05.0.1'1 Residual standard error: 2656 on 15 degrees of freedom Multiple R-squared: 0.8928, Adjusted R-squared: F-statistic: 31.24 on 4 and 15 DF, p-value: 4.088e-07 1 -0.40652867 -0.05965043 2.37732884 -1.04538544 2.37732884 -1.04538544 0.8643
A researcher wants to determine the causal relationship among number of family
members who are at least high school graduate (W), number of working family
members (X), monthly gross income (Y), monthly expenditure (Z), and average
monthly bank deposits (A). A random sample of 20 families was selected and the
data on the variables were collected. Consider the following path diagram:
W
X
Ex
Y
Z
Ey
A
EA
Transcribed Image Text:A researcher wants to determine the causal relationship among number of family members who are at least high school graduate (W), number of working family members (X), monthly gross income (Y), monthly expenditure (Z), and average monthly bank deposits (A). A random sample of 20 families was selected and the data on the variables were collected. Consider the following path diagram: W X Ex Y Z Ey A EA
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