Lab_Report_Intro_to_Graphing_SG031324
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Introduction to Graphing
Sanny Gnanasundaram
03/13/2024
1
Instructions: 1.
Please read all of the introduction and background information within the investigative manual. a.
Once you have done so answer the prelab question BEFORE completing any of the lab’s activities. 2.
Once you have completed the prelab questions proceed to the activities of the lab within the investigative manual. a.
As you read through the instructions for completing each activity
make sure you also:
i.
Complete any instructions (append photos, etc)/ and answer any questions found in the post lab questions for each activity. Prelab Questions
1.
Complete the following table using data for the rye plants’ growth observed at week 8 in Table 1 on the investigative manual. Height at Week 8 (cm)
Difference from Average
Difference squared
Rye plant 1
5.0
.33
.11
Rye plant 2
6.0
.67
.44
Rye plant 3
5.0
.33
.11
Average
5.33
Variance
.222cm
Standard Deviation
.4714cm
2.
What does the standard deviation of a data set tell us? Use as an example the meaning of the standard deviation you just calculated in the table in question 1. a.
Standard deviation is about how much variation or how wide your distribution is found in the data collected. In the above example the standard deviation was 8.83% for the three points above. The average height of the rye plan was 5 1/3 cm and the data deviates about 9% from this average.
© 2016 Carolina Biological Supply Company
2
3.
Finally, which data had a greater distribution? The wheat plant height at 8-week or the rye plant height at 8-weeks? How do you know? a.
The standard deviation for the wheat plant Is about 16% compared to almost 9% for the rye, so there is a greater distribution for the wheat plant.
Activity 1
Instructions:
1.
Open the investigative manual. 2.
Read through the entire set of instructions found in the investigative
manual for the activity to avoid making mistakes when you go to execute the experiment. 3.
Once you have read through the instructions go back to step 1 and begin executing the experiment. 4.
Please answer the questions below and/or append appropriate representations of data (photos, graphs, etc).
1.
Insert photos of your hand-drawn graph, completed in step 18 and 19 of Activity 1. The following should be visible/indicated in each photo:
Your name and the date
Data plotted for wheat plant 1, 2, and 3 (for step 18). Data plotted for rye plant (for step 19) 1, 2, and 3.
Axis labels with units
Graph title
Key or legend
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© 2016 Carolina Biological Supply Company
4
e
Activity 2
Instructions:
1.
Open the investigative manual. © 2016 Carolina Biological Supply Company
5
2.
Read through the entire set of instructions found in the investigative
manual for the activity to avoid making mistakes when you go to execute the experiment. 3.
Once you have read through the instructions go back to step 1 and begin executing the experiment. 4.
Please answer the questions below and/or append appropriate representations of data (photos, graphs, etc).
1.
Having now completed a computer-generated graph for the wheat pIants please do the same for the rye plants. Insert your computer-
generated graph of the rye graph plants below. The following should be visible/indicated in each photo:
Data plotted for rye plant 1, 2, and 3.
Axis labels with units
Graph title
Key or legend
© 2016 Carolina Biological Supply Company
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Activity 3
Instructions:
1.
Open the investigative manual. 2.
Read through the entire set of instructions found in the investigative
manual for the activity to avoid making mistakes when you go to execute the experiment. 3.
Once you have read through the instructions go back to step 1 and begin executing the experiment. 4.
Please answer the questions below and/or append appropriate representations of data (photos, graphs, etc).
1.
Shown below is the table you see at the end of activity #3. Please fill it out with the data you generated for the Wheat plant trend lines. Wheat Plant Trendlines
Equations
Wheat Plant 1 trendline equation
y = 1.2381x + 0.9286
Wheat Plant 1 trendline corrected
y = 1.402x
Wheat Plant 2 trendline equation
y = 1.0595x + 1.6071
Wheat Plant 2 trendline corrected
y = 1.3431x
Wheat Plant 3 trendline equation
y = 1.0357x - 0.2857
Wheat Plant 3 trendline corrected
y = 0.9853x
© 2016 Carolina Biological Supply Company
7
2.
Based on the corrected trend lines, which wheat plant grew fastest? What was the rate of its growth in cm/week?
a.
We can safely assume that the fastest growing plant has the greatest slope- so know that Wheat 1 trendline was the fastest growing plant.
3.
What would be the expected height of plant 2 at 6.5 weeks of growth? What about at 9.5 weeks of growth? Please show your calculation for full credit. a.
We must use the y= 1.3431x to find the expected plant height 2 at 6.5 and 9.5 weeks:
4.
In the above question you were asked to state the height of wheat plant 2 at 9.5 weeks of growth. What has to be assumed to state this expectation? Why?
a.
We have to assume that the rate is the same over time because the trendline equation is linear over time with the factors of weeks over time and height.
5.
In question 4, above, you were asked what assumption has to be made
to predict the height of wheat plant 2 at 9.5 weeks. Would this be a valid assumption for the plant at week 25, 52, 104? Why or why not? a.
I am not knowledgeable in landscaping or gardening yet, but I would assume that it would change over seasons and the higher weeks may actually kill off certain plants depending on the environment (VanDerZanden, 2023). Perhaps like people, they experience crucial years of growth and then max out in growth so the rate of growth may only be short-term (Rye Growing Guide: In-Depth Knowledge to Boost Productivity, 2023).
© 2016 Carolina Biological Supply Company
8
References
Rye Growing Guide: In-Depth Knowledge to Boost Productivity
. (2023, September 29). EOS Data Analytics. https://eos.com/crop-
management-guide/rye-growth-stages/
VanDerZanden, A. M. (2023, January 17). Plant growth and development
. OSU Extension Service. https://extension.oregonstate.edu/gardening/flowers-shrubs-trees/plant
-growth-development
© 2016 Carolina Biological Supply Company
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11. [-/1.87 Points] DETAILS
HARMATHAP12 1.3.037.
Write the equation of the line described.
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Solve for the perimeter of the figure below. Show your work and explain the steps you used to solve.
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