Solved

Use Computer Software to Obtain the Regression and Identify R2

Question 102

Multiple Choice

Use computer software to obtain the regression and identify R2, adjusted R2, and the P-value
-FPEA, the Farm Production Enhancement Agency, regressed corn output against acreage, rainfall, and a trend line. The trend line is proxy for technological advancement in farming from improved pest control, fertilization, land management, and farming implements.  CORNPROD  ACRES  RAINFALL  TREND 456989629.11421968042.326531044929.835731081126.045461001434.354991029322.76504941324.27611986031.68646978225.697891213937.9107731216633.911753997637.4128521064527.013755973831.514815993339.9159021013225.3169861114530.417909977532.718945954935.0198661007733.82011781155029.42112301060037.12212071128042.9239681210032.22411181242030.525\begin{array}{cccc}\hline \text { CORNPROD } & \text { ACRES } & \text { RAINFALL } & \text { TREND } \\\hline 456 & 9896 & 29.1 & 1 \\421 & 9680 & 42.3 & 2 \\653 & 10449 & 29.8 & 3 \\573 & 10811 & 26.0 & 4 \\546 & 10014 & 34.3 & 5 \\499 & 10293 & 22.7 & 6 \\504 & 9413 & 24.2 & 7 \\611 & 9860 & 31.6 & 8 \\646 & 9782 & 25.6 & 9\\789 & 12139 & 37.9 & 10 \\773 & 12166 & 33.9 & 11 \\753 & 9976 & 37.4 & 12 \\852 & 10645 & 27.0 & 13 \\755 & 9738 & 31.5 & 14 \\815 & 9933 & 39.9 & 15 \\902 & 10132 & 25.3 & 16 \\986 & 11145 & 30.4 & 17 \\909 & 9775 & 32.7 & 18\\945 & 9549 & 35.0 & 19 \\866 & 10077 & 33.8 & 20 \\1178 & 11550 & 29.4 & 21 \\1230 & 10600 & 37.1 & 22 \\1207 & 11280 & 42.9 & 23 \\968 & 12100 & 32.2 & 24 \\1118 & 12420 & 30.5 & 25\\\hline\end{array}


A) CORNPROD =21.1+.036ACRES+2.62 =-21.1+.036 \mathrm{ACRES}+2.62 RAINFALL + 27.6TREND;
No, because the P \mathrm{P} -value is low
B) CORNPROD =.9+1.68ACRES+.79RAINFALL+10.2TREND =-.9+1.68 \mathrm{ACRES}+.79 \mathrm{RAINFALL}+10.2 \mathrm{TREND} ;
Yes, because the adjusted R2 \mathrm{R}^{2} is high
C) CORNPROD =21.1+.036ACRES+2.62RAINFALL+27.6TREND =-21.1+.036 \mathrm{ACRES}+2.62 \mathrm{RAINFALL}+27.6 \mathrm{TREND} ;
Yes, because the R2 \mathrm{R}^{2} is high
D) CORNPROD =16.3+2.6ACRES+3.9RAINFALL+21.3 =-16.3+2.6 \mathrm{ACRES}+3.9 \mathrm{RAINFALL}+21.3 TREND;
Yes, because the the R2 \mathrm{R}^{2} is high

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents