Tee - Lab_Report_Intro_to_Graphing.docx
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Date
Nov 24, 2024
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Uploaded by DoctorKudu1046
Introduction to Graphing
Student Name: TEE NGUYEN
Date: 3/7/23
1
Prelab Questions
1.
Complete the following tble 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
6.0
6. 0 − 6. 43 =− 0. 43
(− 0. 43)
2
= 0. 18
Rye plant 2
6.5
6. 5 − 6. 43 = 0. 07
0. 07
2
= 0. 0049
Rye plant 3
6.8
6. 8 − 6. 43 = 0. 37
0. 37
2
= 0. 1369
Average
6.0+6.5+6.8
3
=
19.3
3
= 6. 43
Variance
0.18+0.0049+0.1369
3
=
0.3218
3
= 0. 11
Standard Deviation
0. 11
= 0. 33
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.
-
The standard deviation provides information on how the data are
distributed (Carolina Distance Learning).
-
It assists in determining how closely related experiment outcomes
are to one another.
-
As the standard deviation in Table 1 is 0.33, 68% of the data are
within one standard deviation, or 0.33 cm
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?
-
By week 8, the distribution of the wheat plants was more even, with
a variance of 2 cm as opposed to 0.07 cm for the rye plants, and a
standard deviation of 1.4 cm as opposed to 0.33 cm for the rye
plants.
© 2016 Carolina Biological Supply Company
2
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
© 2016 Carolina Biological Supply Company
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3
© 2016 Carolina Biological Supply Company
4
© 2016 Carolina Biological Supply Company
5
Activity 2:
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.
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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6
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
? = 1. 2381? + 0. 9286
Wheat Plant 1 trendline corrected
? = 1. 402?
Wheat Plant 2 trendline equation
? = 1. 0595? + 1. 0671
© 2016 Carolina Biological Supply Company
7
Wheat Plant Trendlines
Equations
Wheat Plant 1 trendline equation
? = 1. 2381? + 0. 9286
Wheat Plant 1 trendline corrected
? = 1. 402?
Wheat Plant 2 trendline corrected
? = 1. 3431?
Wheat Plant 3 trendline equation
+0.2857
? = 1. 0357?
Wheat Plant 3 trendline corrected
? = 0. 9853
2.
Based on the corrected trend lines, which wheat plant grew fastest?
What was the rate of its growth in cm/week?
-
Wheat plant 1 grew fastest because it grew at 1.402cm
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.
-
The equation for the corrected trendline of wheat plant 2 is required
to forecast the height of wheat plant 2 at different weeks. So,
. Plug the week you want to know the height of into x
? = 1. 3431?
and solve to estimate the height in cm at the specified week. Y or
the height in centimeters will be the solution The height at
-
6.5 weeks would be 8.7 cm since
? = 1. 3431 × 6. 5 = 8. 7302 -
9.5 weeks:
resulting in a height of
?
=
1. 3431
×
9. 5
=
12. 759 ,
12.8 cm.
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?
-
The wheat plant must also be expected to be growing right now
and to be doing so at a similar rate to what it was up to week 8 in
order for the predicted height to be a reasonable estimate.
© 2016 Carolina Biological Supply Company
8
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?
-
Although I know very little about wheat plants, I am aware that they
are a common crop for farmers in the United States, and I may infer
a few additional things from that. They are presumably sown in the
spring or early summer and harvested in the fall or late summer
since, like other crops, I presume that they complete all of their
growth in a single growing season. In light of this, I consider it
doubtful that they continue to grow for nearly half of the year,
albeit conceivable given that certain crops do have extended
growing seasons before harvest. Even if the plant is still growing, I'm
very certain that it is not doing so at anything close to the same
rate. It seems really odd to me that the wheat plants are still
growing after a year (52 weeks) or two years (104 weeks). As I said
at the beginning, I don't know very much about wheat plants. It is
possible that they are perennial plants and/or require more than
one growing season to reach full maturity (or grow back the
harvested limbs each season, but in this case the growth would be
restarting at zero so it wouldn't be any taller than it was at the
corresponding week last season), so they might still be growing after
a year or two, but I highly doubt all of this. Last but not least, if
growth over a year or two was possible, the rate would
undoubtedly change depending on the seasons and where the
wheat plant was in its maturation and development.
© 2016 Carolina Biological Supply Company
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