QUESTION IMAGE
Question
which of the following conclusions is best supported by the scatter plot?
max weight vs. max lifespan of dog breeds
scatter plot with x-axis max weight (0, 50, 100, 150, 200) and y-axis max life span (10, 20), blue dots representing data
options:
- all dog breeds that weigh less than 50 pounds have a maximum lifespan of more than 10 years.
- no dog breeds that weigh more than 150 pounds are expected to live more than 10 years.
- most dogs breeds have a maximum weight of 100 lbs or more.
- most dog breeds have a maximum life span of 10 or fewer years.
Step1: Analyze Option 1
Check points with max weight <50. Some points have lifespan ≤10? No, the cluster <50 weight has most above 10, but "all" is wrong? Wait, no—wait the y - axis: the lower y is ~10? Wait, the scatter plot: x is max weight, y is max lifespan. Let's re - examine. For weight <50 (x <50), the y (lifespan) values: are there any below 10? Looking at the plot, the points with x <50 (left side) have y mostly above 10, but is there any? Wait, maybe I misread. Wait the first option: "All dog breeds that weigh less than 50 pounds have a maximum lifespan of more than 10 years." Let's check the plot. The left - most points (x <50) have y (lifespan) values. Are there any points with x <50 and y ≤10? From the plot, it seems that in the x <50 region, most points are above 10, but maybe a few? Wait, no—maybe the first option is correct? Wait no, let's check other options.
Step2: Analyze Option 2
" No dog breeds that weigh more than 150 pounds are expected to live more than 10 years." For x >150 (weight >150), the y (lifespan) values: some points are above 10? Wait the plot: at x >150, the points have y around 10 or above? Wait no, the points at x >150: let's see, the x - axis goes to 200. The points at x >150: their y - values. Are there any above 10? The last few points: one at x ~200, y ~12? So "no" is wrong, because there are some above 10.
Step3: Analyze Option 3
"Most dogs breeds have a maximum weight of 100 lbs or more." The scatter plot: the number of points with x ≥100 vs x <100. The left side (x <100) has a large cluster, so most are below 100, so this is wrong.
Step4: Analyze Option 4
"Most dog breeds have a maximum life span of 10 or fewer years." The y - axis: the cluster of points. Most points are above 10 (since the main cluster is above the y = 10 line), so this is wrong.
Wait, maybe I made a mistake with Option 1. Let's re - check. For x <50 (weight <50), the y (lifespan) values: looking at the plot, all the points with x <50 (left part) have y (lifespan) above 10? If that's the case, then Option 1 is correct. Wait the first option: "All dog breeds that weigh less than 50 pounds have a maximum lifespan of more than 10 years." So if in the scatter plot, every point with x <50 has y >10, then this is correct. The other options: Option 2 is wrong (some above 10 at x >150), Option 3: most are below 100, Option 4: most are above 10. So the best - supported conclusion is Option 1.
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A. All dog breeds that weigh less than 50 pounds have a maximum lifespan of more than 10 years.