To get the best deal on a microwave oven, Amanda called six appliance stores and asked the cost and volume of several models. The prices and volumes she was quoted are listed below. Amanda later learned that the group of 3 microwaves with volumes greater than 1 cubic foot and costing less than $200 were discontinued models Priced lower than normal. How does this change your view of the correlation? $$\begin{array} { c c }
\hline \text { Volume (cu.ft) } & \text { Price } ( \$ ) \
\hline 1.5 & 17 \
0.7 & 49 \
1.5 & 349 \
1.9 & 183 \
0.5 & 119 \
2.2 & 119 \
1.8 & 417 \
1.5 & 463 \
1 & 200 \
\hline
\end{array}$$
A)Within each of the two groups, the correlation is less than it is overall.
B)The group of discontinued models has a stronger correlation than the other group.
C)There is little correlation either within the groups or overall.
D)Within each of the two groups, the correlation is stronger than it is overall.

Question

To get the best deal on a microwave oven, Amanda called six appliance stores and asked the cost and volume of several models. The prices and volumes she was quoted are listed below. Amanda later learned that the group of 3 microwaves with volumes greater than 1 cubic foot and costing less than $200 were discontinued models Priced lower than normal. How does this change your view of the correlation? $$\begin{array} { c c } 
\hline \text { Volume (cu.ft) } & \text { Price } ( \$ ) \
\hline 1.5 & 17 \
0.7 & 49 \
1.5 & 349 \
1.9 & 183 \
0.5 & 119 \
2.2 & 119 \
1.8 & 417 \
1.5 & 463 \
1 & 200 \
\hline
\end{array}$$
A)Within each of the two groups, the correlation is less than it is overall.
B)The group of discontinued models has a stronger correlation than the other group.
C)There is little correlation either within the groups or overall.
D)Within each of the two groups, the correlation is stronger than it is overall.

Quizplus · Accepted Answer

Knowing that the three microwaves with volumes greater than 1 cubic foot and costing less than $200 were priced lower due to being discontinued models, it suggests that these outliers could distort the overall correlation between volume and price. Removing these outliers and analyzing the data within the two groups (discontinued models and regular models) separately would likely show a stronger, more consistent correlation within each group than when considering all the data together. This is because the prices of the discontinued models do not reflect their true market value, skewing the overall correlation.

To Get the Best Deal on a Microwave Oven, Amanda