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Suppose You Are a Potential College Student That Is Interested

Question 23

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Suppose you are a potential college student that is interested in determining whether it is worthwhile to declare a certain major.In an effort to find the answer,you collect data on 1,247 college who majored in HUMANITIES,SCIENCE,ENGINEERING,or ENGLISH and you estimate the sample regression function (standard errors in parentheses) log Sala^ryi=32,473.81+0.03GPAi+0.02 log StudyHours (1,002.97)(0.0005)(0.00003)+0.01 Science i+0.08 Engineering i+0.02 English i(0.02)(0.025)(0.001)\begin{array} { lllll } \log~ \widehat {Sala}ry _{i}=&32,473.81+&0.03 \mathrm{GPA}_{i}+&0.02 \text { log StudyHours }\\&( 1,002.97 )& ( 0.0005 ) & ( 0.00003 ) \\&+ 0.01 \text { Science } _ { i } +& 0.08 \text { Engineering } _ { i } +& 0.02 \text { English } _ { i } \\&( 0.02 ) &( 0.025 )&(0.001) \\\end{array}
a)Interpret the coefficient estimate on GPA.Is this estimate statistically significant at a 5% level? Economically significant?
b)Interpret the coefficient estimate on Study Hours.Is this estimate statistically significant at the 5% level? Economically significant?
c)Interpret the coefficient estimates on SCIENCE,ENGINEERING,and ENGLISH.Are these estimates statistically significant at the 5% level? Economically significant?
d)Do you believe this is a reasonable model if you are interested in how GPA and Study hours affect Salaries? Why or why not?

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a)On average,holding study hours and maj...

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