The scatterplots below display three bivariate data sets. The correlation coefficients for these data sets are 0.03, 0.68, and 0.89. Which scatter plot corresponds to the data set with r = .03?

beljuA
2020-12-07
Answered

The scatterplots below display three bivariate data sets. The correlation coefficients for these data sets are 0.03, 0.68, and 0.89. Which scatter plot corresponds to the data set with r = .03?

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Sally Cresswell

Answered 2020-12-08
Author has **91** answers

Correlation:

The value of correlation coefficient tells about the strength of the association between two variables. The range of correlation coefficient value is –1 to +1. The value of 0 indicates that there is no correlation between two variables, the value of +1 indicates that there is perfect positive relationship between two variables, the value of –1 indicates that there is perfect negative relationship two variables. higher the correlation coefficient value, higher the correlation between the two variables.

Scatterplot with r=0.03:

In scatterplot 2, the data are more scattered when compared to other two scatterplots. In other words, there is no pattern observed. Whereas, scatterplot 3 is somewhat linear and scatterplot 1 is approximately linear.

Thus, the scatterplot 2 is expected to have the least correlation coefficient value and the scatterplot 1 is expected to have the highest correlation coefficient value among the given values. The correct answer is the scatterplot corresponds to the data set with r=0.03 is scatterplot 2.

The value of correlation coefficient tells about the strength of the association between two variables. The range of correlation coefficient value is –1 to +1. The value of 0 indicates that there is no correlation between two variables, the value of +1 indicates that there is perfect positive relationship between two variables, the value of –1 indicates that there is perfect negative relationship two variables. higher the correlation coefficient value, higher the correlation between the two variables.

Scatterplot with r=0.03:

In scatterplot 2, the data are more scattered when compared to other two scatterplots. In other words, there is no pattern observed. Whereas, scatterplot 3 is somewhat linear and scatterplot 1 is approximately linear.

Thus, the scatterplot 2 is expected to have the least correlation coefficient value and the scatterplot 1 is expected to have the highest correlation coefficient value among the given values. The correct answer is the scatterplot corresponds to the data set with r=0.03 is scatterplot 2.

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Number of stations ( f )

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102 114 74 28 10 2 0

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Number of rainstorms (x) 0 1 2 3 4 5 more than 5

Number of stations ( f )

reporting x rainstorms

102 114 74 28 10 2 0

i. Find the expected frequencies of rainstorms given by the Poisson distribution having the same mean and total as the observed distribution.

ii. Use the 2 χ distribution to test the adequacy of the Poisson distribution as a model for these data.

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The accompanying two-way table was constructed using data in the article “Television Viewing and Physical Fitness in Adults” (Research Quarterly for Exercise and Sport, 1990: 315–320). The author hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked about their television-viewing habits and were classified as physically fit if they scored in the excellent or very good category on a step test. We include MINITAB output from a chi-squared analysis. The four TV groups corresponded to different amounts of time per day spent watching TV (0, 1–2, 3–4, or 5 or more hours). The 168 individuals represented in the first column were those judged physically fit. Expected counts appear below observed counts, and MINITAB displays the contribution to $\left({x}^{2}\right)$ from each cell.

State and test the appropriate hypotheses using $\alpha =0.05$

$\begin{array}{|cccc|}\hline & 1& 2& Total\\ 1& 35& 147& 182\\ & 25.48& 156.52& \\ 2& 101& 629& 730\\ & 102.20& 627.80& \\ 3& 28& 222& 250\\ & 35.00& 215.00& \\ 4& 4& 34& 38\\ & 5.32& 32.68& \\ Total& 168& 1032& 1200\\ \hline\end{array}$

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