A local ice cream shop kept track of the number of cans of cold soda it sold eac

Question

A local ice cream shop kept track of the number of cans of cold soda it sold each day, and the temperature that day, for two months during the summer. The data are displayed in the scatter plot below: The one outlier corresponds to a day on which the refrigerator for the soda was broken. Which of the following is true? A reasonable value of the correlation coefficient r for these data is 1.2. if the temperature was measured in degrees celsius (C = 5/9 * (F = 32)), the value of r would change accordingly. if the outlier was removed, r would get closer to 1. if the outlier was removed, r would get closer to 0. if the outlier was removed, r would get closer to -1.

Explanation / Answer

The outlier causes problem for capturing the relationship between data. Here only one outlier is present. If we remove the data point from the overall sample data then the graph suggests the relationship between X and Y are positive. In fact there is a highly positive correlation between dependent and independent variable. So, this can be stated that,

r is almost +1 if the outlier from the data is removed.

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