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QUESTION IMAGE

which of the following conclusions is best supported by the scatter plo…

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.

Explanation:

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.

Answer:

A. All dog breeds that weigh less than 50 pounds have a maximum lifespan of more than 10 years.