Question

Use the set of data below to do the following. a) Draw a scatter diagram. b) Find the value of $r$. c) Determine whether a correlation exists at $alpha = 0.05$. d) Determine whether a correlation exists at $alpha = 0.01$. + Click the icon to view the correlation coefficient, $r$, for various values of $n$ and $alpha$. egin{tabular}{|c|c|} hline $x$ & $y$ \ hline 24 & 24 \ 35 & 30 \ 30 & 24 \ 42 & 26 \ 48 & 28 \ hline end{tabular} The formula for the correlation coefficient is $r = frac{n(sum xy) - (sum x)(sum y)}{sqrt{[n(sum x^2) - (sum x)^2][n(sum y^2) - (sum y)^2]}}$ a) Choose the scatter plot that best represents the given data. b) The value of $r$ is (Round to the nearest thousandth as needed.) c) Does a linear correlation exist when $alpha = 0.05$? extbullet A linear correlation does not exist. extbullet A linear correlation exists. d) Does a linear correlation exist when $alpha = 0.01$? extbullet A linear correlation does not exist. extbullet A linear correlation exists.

          Use the set of data below to do the following.
a) Draw a scatter diagram.
b) Find the value of $r$.
c) Determine whether a correlation exists at $alpha = 0.05$.
d) Determine whether a correlation exists at $alpha = 0.01$.
+ Click the icon to view the correlation coefficient, $r$, for various values of $n$ and $alpha$.
egin{tabular}{|c|c|}
hline
$x$ & $y$ \
hline
24 & 24 \
35 & 30 \
30 & 24 \
42 & 26 \
48 & 28 \
hline
end{tabular}
The formula for the correlation coefficient is $r = frac{n(sum xy) - (sum x)(sum y)}{sqrt{[n(sum x^2) - (sum x)^2][n(sum y^2) - (sum y)^2]}}$
a) Choose the scatter plot that best represents the given data.
b) The value of $r$ is 
(Round to the nearest thousandth as needed.)
c) Does a linear correlation exist when $alpha = 0.05$? 
	extbullet A linear correlation does not exist.
	extbullet A linear correlation exists.
d) Does a linear correlation exist when $alpha = 0.01$? 
	extbullet A linear correlation does not exist.
	extbullet A linear correlation exists.

$Use the set of data below to do the following. a) Draw a scatter diagram. b) Find the value of r. c) Determine whether a correlation exists at alpha = 0.05. d) Determine whether a correlation exists at alpha = 0.01. + Click the icon to view the correlation coefficient, r, for various values of n and alpha. egintabular|c|c| hline x y hline 24 24 35 30 30 24 42 26 48 28 hline endtabular The formula for the correlation coefficient is r = fracn(sum xy) - (sum x)(sum y)sqrt[n(sum x^2) - (sum x)^2][n(sum y^2) - (sum y)^2] a) Choose the scatter plot that best represents the given data. b) The value of r is (Round to the nearest thousandth as needed.) c) Does a linear correlation exist when alpha = 0.05? extbullet A linear correlation does not exist. extbullet A linear correlation exists. d) Does a linear correlation exist when alpha = 0.01? extbullet A linear correlation does not exist. extbullet A linear correlation exists.$

Added by Laura M.

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