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Suppose You Regress the Number of Days That Individuals Report

question 22

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Suppose you regress the number of days that individuals report having hunted in the past year on years of education and that you get the results in Figure 5.3. SUMMARY OUTPUT

 Regression Statistics  Multiple R. 0.069296763 R. Square 0.004802041 Adjasted R Square 0.004749178 Standard Error 9.950755489 Observations 18828\begin{array}{lc}\hline \text { Regression Statistics } & \\\hline \text { Multiple R. } & 0.069296763 \\\text { R. Square } & 0.004802041 \\\text { Adjasted R Square } & 0.004749178 \\\text { Standard Error } & 9.950755489 \\\text { Observations } & 18828 \\\hline\end{array}

 ANOVA dfSS MS F Significance F  Regression 18994.6978538994.69785390.839444461.74217E21 Residual 188261864104.1199.0175348 Total 188271873098.808\begin{array}{l}\text { ANOVA }\\\begin{array}{lccccc}\hline & d f & S S & \text { MS } & F & \text { Significance F } \\\hline \text { Regression } & 1 & 8994.697853 & 8994.697853 & 90.83944446 & 1.74217 \mathrm{E}-21 \\\text { Residual } & 18826 & 1864104.11 & 99.0175348 & & \\\text { Total } & 18827 & 1873098.808 & & & \\\hline\end{array}\end{array}

 Coefficients  Standard Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 6.87990.432015.92600.00006.03317.7266 Years of Education 0.29690.03129.53100.00000.35800.2358\begin{array}{lcccccc}\hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 6.8799 & 0.4320 & 15.9260 & 0.0000 & 6.0331 & 7.7266 \\\text { Years of Education } & -0.2969 & 0.0312 & -9.5310 & 0.0000 & -0.3580 & -0.2358 \\\hline\end{array}
 Figure 5.3\text { Figure } 5.3
What would you conclude about the statistical significance of the estimated sample regression function? The estimated intercept? The estimated slope coefficient? Explain.


Definitions:

Externally Oriented

Describes individuals or behaviors that are heavily influenced by external factors and the external environment rather than internal thoughts and feelings.

Internally Oriented

A focus or emphasis on internal thoughts, feelings, and motivations rather than external circumstances or stimuli.

Self-Efficacy

Confidence in one's ability to control one's motivation, behavior, and social environment, crucial for achieving goals.

Autonomy

The capacity to make an informed, uncoerced decision independently, often discussed in the context of personal development and ethics.

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