Question 1114067
the following reference provides you with the scatter plot.


<a href = "http://www.alcula.com/calculators/statistics/scatter-plot/" target = "_blank">http://www.alcula.com/calculators/statistics/scatter-plot/</a>


<img src = "http://theo.x10hosting.com/2018/040601.jpg" alt="$$$" >


the following reference provides you with the correlation coefficient.


<a href = "http://www.alcula.com/calculators/statistics/correlation-coefficient/" target= "_blank">http://www.alcula.com/calculators/statistics/correlation-coefficient/</a>


<img src = "http://theo.x10hosting.com/2018/040602.jpg" alt="$$$" >

the following reference provides you with the linear regression.


<a href  "http://www.alcula.com/calculators/statistics/linear-regression/" target = "_blank">http://www.alcula.com/calculators/statistics/linear-regression/</a>


<img src = "http://theo.x10hosting.com/2018/040603.jpg" alt="$$$" >


your correlation coefficient, which is R, is .90, which indicates there is a strong positive correlation between inflation rate and 30 year treasury yield.


your correlation coefficient squared, which is R^2, is .81.
this indicates that a fairly high percentage of the variation in the data can be explained by the model, as opposed to other reasons.


here's a reference:


<a href = "http://blog.minitab.com/blog/adventures-in-statistics-2/regression-analysis-how-do-i-interpret-r-squared-and-assess-the-goodness-of-fit" target = "_blank">http://blog.minitab.com/blog/adventures-in-statistics-2/regression-analysis-how-do-i-interpret-r-squared-and-assess-the-goodness-of-fit</a>


you can find R squared by simply squaring R.


without knowing anything else, you can't really find R by taking the square root of R^2, because R indicates direction of fit, which is lost when you square it.