Use Computer Software to Obtain the Regression and Identify R²

question 95

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. $\begin{array}{cccc}\hline \text { CORNPROD } & \text { ACRES } & \text { RAINFALL } & \text { TREND } \\\hline 456 & 9896 & 29.1 & 1 \\421 & 9680 & 42.3 & 2 \\653 & 10449 & 29.8 & 3 \\573 & 10811 & 26.0 & 4 \\546 & 10014 & 34.3 & 5 \\499 & 10293 & 22.7 & 6 \\504 & 9413 & 24.2 & 7 \\611 & 9860 & 31.6 & 8 \\646 & 9782 & 25.6 & 9\\789 & 12139 & 37.9 & 10 \\773 & 12166 & 33.9 & 11 \\753 & 9976 & 37.4 & 12 \\852 & 10645 & 27.0 & 13 \\755 & 9738 & 31.5 & 14 \\815 & 9933 & 39.9 & 15 \\902 & 10132 & 25.3 & 16 \\986 & 11145 & 30.4 & 17 \\909 & 9775 & 32.7 & 18\\945 & 9549 & 35.0 & 19 \\866 & 10077 & 33.8 & 20 \\1178 & 11550 & 29.4 & 21 \\1230 & 10600 & 37.1 & 22 \\1207 & 11280 & 42.9 & 23 \\968 & 12100 & 32.2 & 24 \\1118 & 12420 & 30.5 & 25\\\hline\end{array}$

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

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