Given are five observations for two variables, x and y. x 3 12 6 20 14 y 22 40 10 55 12 a. Develop a scatter diagram for these data. b. Compute correlation between x and y variable. c. Develop the estimated regression equation by computing b0 and b1.
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- (3, 22) - (12, 40) - (6, 10) - (20, 55) - (14, 12) ** Show more…
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Given are five observations for two variables, $x$ and $y$ \[ \begin{array}{c|ccccc} \boldsymbol{x}_{\boldsymbol{i}} & 3 & 12 & 6 & 20 & 14 \\ \hline \boldsymbol{y}_{\boldsymbol{i}} & 55 & 40 & 55 & 10 & 15 \end{array} \] a. Develop a scatter diagram for these data. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. Try to approximate the relationship between $x$ and $y$ by drawing a straight line through the data. d. Develop the estimated regression equation by computing the values of $b_{0}$ and $b_{1}$ using equations (14.6) and (14.7) e. Use the estimated regression equation to predict the value of $y$ when $x=10$.
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Leon D.
(a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between $x$ and $y$ $$\begin{array}{cccccc} x & 2 & 4 & 6 & 6 & 7 \\ \hline y & 4 & 8 & 10 & 13 & 20 \end{array}$$
Describing the Relation between Two Variables
Scatter Diagrams and Correlation
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