The problem requires determining which table of data (negative, positive, or none) matches the scatterplot of Weight (pounds) vs. Number of Books in Shipment, and identifying the correlation.

Step-by-Step Analysis:

1. Observation of Scatterplot:

   • As the number of books (x-axis) increases, the weight (y-axis) generally increases as well.
   • There seems to be an upward trend, suggesting a positive correlation.

2. Tables Overview:

   • All three tables (a, b, and c) contain identical data values for books and weights.
   • The tables are labeled differently for correlation:
     • a. Negative: Claims a negative correlation.
     • b. Positive: Claims a positive correlation.
     • c. None: Claims no correlation.

3. Correlation Assessment:

   • From the scatterplot, the weight tends to increase as the number of books increases.
   • This matches the description of positive correlation.

Conclusion:

The correct table is b. Positive.

Would you like me to explain the concept of correlation in more detail or analyze further aspects of the scatterplot?

Related Questions:

1. What is the difference between positive and negative correlation?
2. How can you calculate the correlation coefficient for this data?
3. What methods are used to identify patterns in scatterplots?
4. How do outliers affect the correlation in scatterplots?
5. What real-world examples involve positive correlation similar to this problem?

Tip:

To visually identify correlation in a scatterplot, check whether the points generally trend upward (positive), downward (negative), or randomly (no correlation).