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Given the Following Sample Data A Calculate the Covariance and the Correlation Coefficient

question 115

Essay

Given the following sample data: x420610625500400450550650480565y2.803.603.753.002.502.703.503.902.953.30\begin{array} { | c | c | c | c | c | c | c | c | c | c | c | } \hline x & 420 & 610 & 625 & 500 & 400 & 450 & 550 & 650 & 480 & 565 \\\hline y & 2.80 & 3.60 & 3.75 & 3.00 & 2.50 & 2.70 & 3.50 & 3.90 & 2.95 & 3.30 \\\hline\end{array}
a. calculate the covariance and the correlation coefficient.
b. comment on the relationship between X and Y.
c. determine the least-squares line.
d. draw the scatter diagram and plot the least-squares line.


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