4. Carry out and state the conclusion of your test on the correlation.

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ld influence the structure of your statistical test.
5. Carry out the statistical test and state your conclusions.
Question 5
A study was carried out to determine the influence of a trace element
found in soil on the yield of potato plants grown in that soil, defined as
the weight of potatoes produced at the end of the season. A large field
was divided up into 14 smaller sections for this experiment. For each
section, the experimenter recorded the amount of the trace element
found (in milligrams per metre squared) and the corresponding weight
of the potatoes produced (in kilograms). This information is presented
in the worksheet 'Dataset5' in the Excel document. Define X as the
trace element amount and Y as the yield.
1. Draw a scatterplot of your data set.
Page 5
2. Set up the framework for an appropriate statistical test to estab-
lish if there is a correlation between the amount of the trace ele-
ment and the yield. Explain how having the scatterplot referred
to above and having the value of r in advance would influence the
structure of your statistical test.
3. Calculate the correlation coefficient for the paired data values.
4. Carry out and state the conclusion of your test on the correlation.
Transcribed Image Text:ld influence the structure of your statistical test. 5. Carry out the statistical test and state your conclusions. Question 5 A study was carried out to determine the influence of a trace element found in soil on the yield of potato plants grown in that soil, defined as the weight of potatoes produced at the end of the season. A large field was divided up into 14 smaller sections for this experiment. For each section, the experimenter recorded the amount of the trace element found (in milligrams per metre squared) and the corresponding weight of the potatoes produced (in kilograms). This information is presented in the worksheet 'Dataset5' in the Excel document. Define X as the trace element amount and Y as the yield. 1. Draw a scatterplot of your data set. Page 5 2. Set up the framework for an appropriate statistical test to estab- lish if there is a correlation between the amount of the trace ele- ment and the yield. Explain how having the scatterplot referred to above and having the value of r in advance would influence the structure of your statistical test. 3. Calculate the correlation coefficient for the paired data values. 4. Carry out and state the conclusion of your test on the correlation.
ataset 5
Additive
Yield
62.59
91.81
64.45
90.96
61.43
93.39
58.36
96.08
56 |
96.86
59.24
95.76
56.45
96.16
59.96
93.45
63.15
91.06
60.11
93.67
57.29
94.88
60.44
94.79
61.82
95.17
59.5
95.36
Dataset 1
Dataset 2
Dataset 3
Data
Transcribed Image Text:ataset 5 Additive Yield 62.59 91.81 64.45 90.96 61.43 93.39 58.36 96.08 56 | 96.86 59.24 95.76 56.45 96.16 59.96 93.45 63.15 91.06 60.11 93.67 57.29 94.88 60.44 94.79 61.82 95.17 59.5 95.36 Dataset 1 Dataset 2 Dataset 3 Data
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