To Investigate the Relationship Between Yield of Potatoes, Y, and Level

question 37

Essay

To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: $\begin{array}{l|cccccccc}\hline x & 1 & 1.5 & 2 & 2.5 & 3 & 3.5 & 4 & 4.5 \\\hline y & 25 & 31 & 27 & 28 & 36 & 35 & 32 & 34 \\\hline\end{array}$

Summary statistics yield $S S _ { x x } = 10.5 , S S _ { y y } = 112 , S S _ { x y } = 25$ , and $S S E = 52.476$ . Calculate the coefficient of determination.

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Definitions:

Diastolic Murmur

A heart sound heard during the diastole phase of the cardiac cycle, potentially indicating heart valve issues or other abnormalities.

Hypertension

A chronic medical condition where the blood pressure in the arteries is persistently elevated, often leading to significant health risks if untreated.

Hypertension Prevalence

The proportion of a population that has high blood pressure at a given time.