1. The first problem asks which statement is true about the gardener's line fitting the data points on the scatter plot of Number of Weeks vs Number of Tomatoes Picked. 2. A line of best fit is a line that minimizes the sum of the squared vertical distances from each data point to the line. This is called the least squares criterion. 3. The best fit line does not need to intersect all data points; it aims to minimize overall distance, not pass through every point. 4. The number of points above or below the line does not determine goodness of fit; the key is minimizing total squared distances. 5. Therefore, the correct statement is: "The gardener's line is a good fit to the data points because it minimizes the distance to each data point." 6. The other statements are incorrect because equal numbers of points above and below the line is not a criterion, nor is intersecting all points, nor having more points below the line. 7. The second problem asks to describe the relationship shown by a scatter plot with points scattered without any clear increasing or decreasing trend. 8. A linear association means points roughly follow a straight line increasing or decreasing. 9. A negative association means as x increases, y decreases. 10. A positive association means as x increases, y increases. 11. No association means no clear pattern or trend between x and y. 12. Since the points are scattered without a clear trend, the best description is "no association." Final answers: - For the first problem: The gardener's line is a good fit to the data points because it minimizes the distance to each data point. - For the second problem: no association.