A group of Marine Biologists was study sand sharks and recorded the length in inches and weight in lbs for each shark they were able to trap during a certain week. After the measurements were taken, the data was recorded in the table below and the sharks were tagged and released.

Question

1.
, create a scatter plot for the data. Be sure to set the x-axis and y-axis values and steps appropriately so you can see the data. When you have finished take a snapshot of your graph and paste it into the essay space below.

2.
Find the Line of Best Fit for the data you have plotted. Type the equation in the space provide below using the equation tool. You may round the slope and y-intercept values to the nearest tenth.

3.
The slope of the Line of Best Fit, rounded to the nearest tenth is

Using the graph and equation that you have found, answer the following questions about the sand shark population data.
4.
Describe the correlation between a typical sand shark's length and weight.

5.
Using the equation you created, predict the weight of a sand shark that is 75 inches long. Please use the drawing tool to show your work for how you have found your answer. You may also type an answer or write your work on a sheet of paper and submit the picture in the essay space.

6.
One of the sharks collected was 67 inches long and weighed 170 pounds. The scientists decided to leave this data out of the set. Why do you think they did this?

7.
Sand Sharks can only reproduce when they are at least 135 lbs in weight. At what length would scientists expect a shark to reach this mature weight? Please use the equation you generated to find this answer and show your work. Round your answer to the nearest tenth.

8.
Why might scientists analyze data like this? Think of at least two reasons and write your answer in complete sentences.

please just give me the answers and answer like a 7 year old

Answer 1

Sure! Here are the answers in a simple way:

1. Scatter Plot: I can’t make a picture, but you would make a graph with one line across the bottom for the length (inches) and one going up for weight (lbs)!

2. Line of Best Fit Equation: Let’s say the equation is something like \( y = 2.5x + 10 \). (You can pretend this is what you found!)

3. Slope: The slope is about 2.5. This means for every inch the shark gets longer, it gets 2.5 lbs heavier!

4. Correlation: The length and weight of sand sharks are related. When a shark gets longer, it usually gets heavier too! That means they go up together – that’s a good sign!

5. Predicting Weight: If a sand shark is 75 inches long, you can put that into our pretend equation:

   • \( y = 2.5(75) + 10 \)
   • Which is \( y = 187.5 \) lbs.
   • So, you’d say the shark would weigh about 188 lbs.

6. Leaving Out the Data: They might have left out the 67 inches and 170 lbs shark because it didn’t fit with the other sharks. It could be too heavy or too light for its length. That might be strange!

7. Weight Prediction: To find out how long a shark needs to be to weigh 135 lbs, you set \( y \) to 135 in our pretend equation:

   • \( 135 = 2.5x + 10 \)
   • Then you’d solve for \( x \):
   • \( 125 = 2.5x \)
   • Divide by 2.5, and you get \( x = 50 \).
   • So sharks need to be about 50 inches long to reach 135 lbs!

8. Why Scientists Analyze Data: Scientists look at this data to understand how sand sharks grow and be healthy. It helps them know how to protect them and keep the oceans safe! They want to make sure there are enough sharks for the future!