Question
Bivariate data often arises from the use of two different techniques to measure the same quantity. As an example, the accompanying observations on x =
Bivariate data often arises from the use of two different techniques to measure the same quantity. As an example, the accompanying observations on
x= hydrogen concentration (ppm)
using a gas chromatography method and
y= concentration
using a new sensor method were read from a graph in an article.
x | 46 | 63 | 65 | 70 | 70 | 77 | 94 | 100 | 114 | 118 | 124 | 127 | 140 | 140 | 140 | 150 | 152 | 164 | 198 | 221 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
y | 39 | 62 | 52 | 68 | 85 | 79 | 93 | 106 | 117 | 116 | 127 | 114 | 134 | 139 | 142 | 170 | 149 | 154 | 200 | 215 |
Construct a scatterplot.
Does there appear to be a very strong relationship between the two types of concentration measurements? Do the two methods appear to be measuring roughly the same quantity? Explain your reasoning.The points fall very close to a quadratic line withx-intercepts of approximately 0 and 225. This suggests that the two methods are producing substantially different concentration measurements.The points fall very close to a straight line with any-intercept of approximately 225 and a slope of about1. This suggests that the two methods are producing substantially the same concentration measurements. The points fall very close to a straight line with anx-intercept of approximately 0 and a slope of about 1. This suggests that the two methods are producing substantially the same concentration measurements.The points fall very close to a straight line with any-intercept of approximately 125 and a slope of about 0. This suggests that the two methods are producing substantially the same concentration measurements.The points fall very close to a quadratic line withx-intercepts of approximately 0 and 225. This suggests that the two methods are producing substantially the same concentration measurements.
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