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To Investigate the Relationship Between Yield of Soybeans and the Amount

Question 57

Multiple Choice

To investigate the relationship between yield of soybeans and the amount of fertilizer used, a researcherdivides a field into eight plots of equal size and applies a different amount of fertilizer to each plot. The tableshows the yield of soybeans and the amount of fertilizer used for each plot.  Amount of fertilizer (pounds)  , 11.522.533.544.5 Yield of soybeans (pounds) , y2521272836353234\begin{array}{l|cccccccc}\text { Amount of fertilizer (pounds) , } & 1 & 1.5 & 2 & 2.5 & 3 & 3.5 & 4 & 4.5 \\\hline \text { Yield of soybeans (pounds) , } \mathrm{y} & 25 & 21 & 27 & 28 & 36 & 35 & 32 & 34\end{array}


A) r=0.819r = 0.819 ; linear relation exists
B) r=0.729r = 0.729 ; no linear relation exists
C) r=0.683\mathrm { r } = 0.683 ; linear relation exists
D) r=0.683r = 0.683 ; no linear relation exists 5 Explain the difference between correlation and causation.

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