Question

construct a scatterplot for the given data.
x | 0.33 0.92 0.36 0.29 -0.09 0.97 0.39 0.3
y | 0.5 0.49 0.08 0.27 -0.13 0.44 0.95 -0.09
a. scatterplot a b. scatterplot b c. scatterplot c d. scatterplot d

Explanation:

Step1: Analyze x-values

The x - values are \(0.33, 0.92, 0.36, 0.29, - 0.09, 0.97, 0.39, 0.3\). Most x - values are positive (only \(-0.09\) is negative), and many are around \(0.3 - 0.9\).

Step2: Analyze y - values

The y - values are \(0.5, 0.49, 0.08, 0.27, - 0.13, 0.44, 0.95, - 0.09\). Most y - values are non - negative (only \(-0.13\) and \(-0.09\) are negative), with some around \(0 - 1\).

Step3: Check scatterplot options

• Option A: The points seem to have x - values mostly positive (with one negative x - value) and y - values mostly non - negative, matching our data.
• Option B: The x - values seem to be more spread in a way that doesn't match our data (e.g., some x - values seem too large or mis - placed).
• Option C: The x - values seem to have negative values that don't match our data (we have only one small negative x - value).
• Option D: The plot is unclear and doesn't match the distribution of our x and y values.

Answer:

A