umber of months since the glide was purchased and the time, in hours, the equipment was used last week.

Person Months Owned Hours Exercised Person Months Owned Hours Exercised

Rupple $124$ Massa $28$

Hall $210$ Sass $83$

Bennett $68$ Karl $48$

Longnecker $95$ Malrooney $102$

Phillips $75$ Veights $55$

Click here for the Excel Data File

a$-1.$ Choose the scatter diagram that best fits the data.

$1.$ On the graph below, use the point tool to plot the point corresponding to the first Months Owned and her Hours MO$1).$

$2.$ Repeat the process for the remainder of the sample $($MO$2,$ MO$3,...).$

$3.$ To enter exact coordinates, double$-$click on the point and enter the exact coordinates of x and y$.$

a$-2.$ Choose the right option.

b$.$ Fill in the blanks below. $($Negative values should be indicated by a minus sign. Round your answers to $3$ decimal places.$)$

x$$

y$$

Sx

Sy

Coefficient of correlation

c$-1.$ State the decision rule for $0\mathrm{.}01$ significance level: H$0$: $\backslash$rho $>=0$; H$1$: $\backslash$rho $<0.($Negative value should be indicated by a minus sign. Round your answer to $3$ decimal places.$)$

c$-2.$ Compute the value of the test statistic. $($Negative value should be indicated by a minus sign. Round your answer to $2$ decimal places.$)$

c$-3.$ Can we conclude that there is a negative association between the variables? Use the $0\mathrm{.}01$ significance level.