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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Management Team

A group of individuals who work together in planning, controlling, and leading an organization, ensuring it meets its goals and objectives.

Cash Flow

The total amount of money being transferred into and out of a business, considered one of the primary indicators of financial health.

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The existing state of affairs, especially regarding social or political issues.

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The ability to foresee novel ideas, trends, or concepts that can lead to the creation of groundbreaking products or solutions.