Math  /  Data & Statistics

QuestionNitrogen Levels and Lettuce Yield Study
A laboratory conducts a study to examine the effect of different levels of nitrogen on the yield of lettuce plants (emergent stalks per plot).
The data are shown in the table and scatter plot is given below the table. \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{l} Nitrogen \\ Level \end{tabular} & 1 & 1 & 1 & 2 & 2 & 2 & 3 & 3 & 3 \\ \hline \begin{tabular}{l} Lettuce \\ Yield \end{tabular} & 21 & 18 & 17 & 24 & 22 & 26 & 34 & 29 & 32 \\ \hline \end{tabular}
Linear Relationship between Nitrogen Levels and Lettuce Vield
Also displayed are the relevant sums needed to calculate Pearsor's Linear Correlation Coefficient and the slope of the best fit line. x=18y=223x2=42y2=5811xy=485\sum x=18 \quad \sum y=223 \quad \sum x^{2}=42 \quad \sum y^{2}=5811 \quad \sum x y=485
20 Numeric 0.75 points The linear correlation coefficient that describes the relationship between nitrogen level and lettuce vield is 0.94.
What is the coefficient of determination? Report the value as a proportions (not a percentage). Round the proportion to the 10,000 ths place.
Type your answer.

Studdy Solution
Round r2 r^2 to the 10,000ths place:
r2=0.8836 r^2 = 0.8836
The coefficient of determination is:
0.8836 \boxed{0.8836}

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