Question

The number of elementary schools and the number of secondary schools for randomly selected areas are listed below. Create a scatter plot on a piece of scratch paper or using excel (see #18 for graph submission options, you can record the values and do this later if you have to). ALSO, here you should write down the the correlation coefficient r r , LaTeX: r^2 r 2 , the regression line in the form y=mx+b y = m x + b , the LaTeX: t t -value, the LaTeX: P P -value for a linear Regression t-test, and complete the corresponding hypothesis test. \begin{array}{rccccccc}\mbox{Elementary} & 201 & 766 & 148 & 218 & 519 & 396&274\\\hline\mbox{Secondary} &50&280&27&41&108&82&63\end{array} Elementary 201 766 148 218 519 396 274 Secondary 50 280 27 41 108 82 63 Remember: scatter plot, regression values & hypothesis test! HTML Editor Keyboard Shortcuts

Answer 1

SCATTER PLOT:

CORRELATION COEFFICIENT:

The value of R is 0.9516.

This is a strong positive correlation, which means that high X variable scores go with high Y variable scores.

The value of R², the coefficient of determination, is 0.9055.

HYPOTHESIS TEST:

t Statistic = 0.1929

p Value = 2.2281