Question
Use technology to find the correlation for the data indicated.The data in Exercise $2.175 .$
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175. This can be done using any statistical software or even a spreadsheet program like Excel. Show more…
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Use technology to find the correlation for the data indicated. The data in Exercise 2.174
Describing Data
Two Quantitative Variables: Scatterplot and Correlation
Explore provide two data sets from "Graphs in Statistical Analysis," by $F .$ J. Anscombe, the American Statistician, Vol. $27 .$ For each exercise,a. Construct a scatterplot. b. Find the value of the linear correlation coefficient $r$, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot.$$\begin{array}{c|c|c|c|c|c|c|c|c|c|c|c}\hline \boldsymbol{x} & 10 & 8 & 13 & 9 & 11 & 14 & 6 & 4 & 12 & 7 & 5 \\\hline \boldsymbol{y} & 7.46 & 6.77 & 12.74 & 7.11 & 7.81 & 8.84 & 6.08 & 5.39 & 8.15 & 6.42 & 5.73 \\\hline\end{array}$$
Correlation and Regression
Correlation
Explore provide two data sets from "Graphs in Statistical Analysis," by $F .$ J. Anscombe, the American Statistician, Vol. $27 .$ For each exercise,a. Construct a scatterplot. b. Find the value of the linear correlation coefficient $r$, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot.$$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|c}\hline x & 10 & 8 & 13 & 9 & 11 & 14 & 6 & 4 & 12 & 7 & 5 \\\hline y & 9.14 & 8.14 & 8.74 & 8.77 & 9.26 & 8.10 & 6.13 & 3.10 & 9.13 & 7.26 & 4.74 \\\hline\end{array}$$
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