the table shows the shipping costs for items of different values.\nshipping costs for items\ntotal cost of…

Explanation:

Step1: Analyze Correlation Direction

As the total cost of items (independent variable) increases, the shipping costs (dependent variable) generally increase (e.g., $25→$45→$50→$70, shipping costs $5.99→$8.99→$8.99→$10.99). So it's a positive correlation, eliminating negative options.

Step2: Analyze Correlation Strength

The relationship isn't perfectly linear (e.g., $45 and $50 have the same shipping cost), but the overall trend is upward. The correlation isn't extremely tight (no perfect linear increase), so it's a strong positive correlation? Wait, no—wait, let's check the differences. From $25 to $45 (increase $20), shipping increases $3. From $45 to $50 (increase $5), shipping stays same. From $50 to $70 (increase $20), shipping increases $2. So the relationship is positive but not perfectly linear, but still has a strong upward trend? Wait, maybe I misjudged. Wait, the options: weak or strong. Let's see the data points. The total cost and shipping cost: when total cost goes up, shipping cost goes up or stays same. So positive. Now, is it strong? Let's calculate the correlation (though maybe not necessary). The points are (25,5.99), (45,8.99), (50,8.99), (70,10.99). Let's see the slope between first and second: (8.99 - 5.99)/(45 -25) = 3/20 = 0.15. Between second and third: 0/5 = 0. Between third and fourth: (10.99 -8.99)/(70 -50)=2/20=0.1. So the slopes are positive but not identical, but the overall trend is positive. Now, strong positive would be a very tight linear relationship. But here, there's a flat spot (45 and 50 same shipping). But compared to weak, which is a more scattered positive. Wait, maybe the answer is strong positive? Wait, no—wait, maybe I made a mistake. Wait, the options: "a strong positive correlation" is an option. Let's re-express: when x increases, y increases, and the points are close to a straight line. Let's plot mentally: (25,5.99), (45,8.99), (50,8.99), (70,10.99). The first three: 25→45 (x+20, y+3), 45→50 (x+5, y 0), 50→70 (x+20, y+2). So the points are somewhat clustered around a line, so the correlation is strong positive. Wait, but maybe the intended answer is strong positive. Wait, but let's check again. The key is: positive (since x and y move in same direction) and strong (since the trend is clear, even with a small flat spot). So the correct option is "a strong positive correlation".

Answer:

B. a strong positive correlation