Lab Report Intro to Graphing PDF

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Introduction to Graphing

Laura Wilburn

September 14th, 2021

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Instr Instructions: uctions: 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.

Prela Prelab b 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 Rye plant 2 Rye plant 3

5.0

5.0 - 5.33 = -0.33

(-0.33)2 = 0.11

6.0

6.0 - 5.33 = 0.67

(0.67)2 = 0.44

5.0

5.0 - 5.33 = -0.33

(-0.33)2 = 0.11

Average

(5+6+5)=16/3 = 5.33

Variance

(0.11+0.44+0.11)/3= 0.22 0.22=¿ 0.47 √¿

Standard Deviation

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.  Standard deviation is an indication of the distribution of the data (Carolina Distance Learning).  It helps gauge how close the results on an experiment are to each other.  In table 1 the standard deviation is 0.47, which means 68% falls between one standard deviation or 0.47 cm,

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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?  The wheat plant because the standard deviation was 1.4.

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

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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 computergenerated 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

Height of Rye Plant by Week 7.0

Height (cm)

6.0 5.0 4.0 3.0 2.0 1.0 0.0

0

1

2

3

4

5

6

7

8

9

Time (weeks)

Rye Plant 1

Rye Plant 2

Rye Plant 3

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. © 2016 Carolina Biological Supply Company

6 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 Wheat Plant 1 trendline equation Wheat Plant 1 trendline corrected Wheat Plant 2 trendline equation Wheat Plant 2 trendline corrected Wheat Plant 3 trendline equation Wheat Plant 3 trendline corrected

Equations Y= 1.2381x+0.9286 Y= 1.402x Y= 1.0595 + 1.6071 Y= 1.3431x Y= 1.0357x + 0.2857 Y= 0.9853

Height of Wheat Plant by Week 12.0 f(x) f(x) == 1.4 1.34x x

Height (cm)

10.0 8.0

f(x) = 0.99 x

6.0 4.0 2.0 0.0 0

1

2

3

4

5

6

7

8

9

Time (weeks) Wheat Plant 1 Wheat Plant 2 Wheat Plant 3

Linear (Wheat Plant 1) Linear (Wheat Plant 2) Linear (Wheat Plant 3)

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. 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.  If wheat plant 2 grows at 1.3431 cm/week then multiplying the trend by desired week will give an answer. o 1.3431 x 6.5 week= 8.73 cm o 1.3431 x 9.5 week= 12.75 cm © 2016 Carolina Biological Supply Company

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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?  Supposing plant growth will continue to progress on a linear scale; if it does not than future predications cannot be mad.

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?  Not really. The amount of dependent variables makes it hard to predict. There is a chance that the wheat plant can hit a stopping point in growth. Thus leaving inaccurate results.

References

Carolina distance learning. Carolina Distance Learning. (n.d.). Retrieved September 15, 2021, from https://www.carolinadistancelearning.com/.

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