Bivariate Data Analysis & Probability Unit Test

Question

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Question
Use the image to answer the question.

An illustration of a scatterplot shows x on x-axis from 65 to 75 in increments of 1 and y on the y-axis from 200 to 240 in increments of 2.5. Eleven points are plotted. The approximate plotted points are as follows: left parenthesis 65 comma 205 right parenthesis, left parenthesis 67 comma 216 right parenthesis, left parenthesis 68 comma 210 right parenthesis, left parenthesis 68 comma 218 right parenthesis, left parenthesis 69 comma 224 right parenthesis, left parenthesis 70 comma 220 right parenthesis, left parenthesis 70 comma 224 right parenthesis, left parenthesis 71 comma 230 right parenthesis, left parenthesis 72 comma 235 right parenthesis, left parenthesis 74 comma 200 right parenthesis, and left parenthesis 74 comma 240 right parenthesis.

Is there a relationship between the two sets of data? Choose 1 for yes and 2 for no.

(1 point)

Answer 1

To determine if there is a relationship between the two sets of data represented in the scatterplot, we consider how the values of x (ranging from 65 to 75) and y (ranging from 200 to 240) are plotted.

1. Observation of Points:

   • The points show various values of y for corresponding values of x.
   • As x increases, the values of y also show some increase for most points.

2. Trends:

   • Several points indicate a positive correlation, where higher values of x generally correspond to higher values of y (e.g., when x is 70 and 71, y is higher than when x is 65).
   • However, there are exceptions, such as the points at (74, 200) and (74, 240), which might suggest variability in y for the same x.

3. Conclusion: Despite some inconsistencies, overall, there appears to be a tendency for y to increase with x, indicating a relationship.

Therefore, based on the scattered data points and the general trend observed, the answer would be:

1 for yes (there is a relationship between the two sets of data).