The accompanying table shows the regression results when
estimating y = β_{0} +
β_{1}x_{1} +
β_{2}x_{2} +
β_{3}x_{3} +
ε.
df | SS | MS | F | Significance F | |
Regression | 3 | 453 | 151 | 5.03 | 0.0030 |
Residual | 85 | 2,521 | 30 | ||
Total | 88 | 2,974 | |||
Coefficients | Standard Error | t-stat | p-value | ||
Intercept | 14.96 | 3.08 | 4.86 | 0.0000 | |
x1 | 0.87 | 0.29 | 3.00 | 0.0035 | |
x2 | 0.46 | 0.22 | 2.09 | 0.0400 | |
x3 | 0.04 | 0.34 | 0.12 | 0.9066 |
At the 5% significance level, which of the following explanatory
variable(s) is(are) individually significant?
Multiple Choice
a. x_{2} and x_{3}
b. x_{1} and x_{2}
c. Only x_{3}
d. Only x_{1}
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