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a.
To explain: The type of graph could be used to explain the relationship between the two variables.
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The data set is:
Temperature | Percent |
13.34 | 4.39 |
13.59 | 4.39 |
13.66 | 5.63 |
13.83 | 6.3 |
13.95 | 5.49 |
14.01 | 4.1 |
14.13 | 4.1 |
14.19 | 5.29 |
14.24 | 5.1 |
14.24 | 4.41 |
14.28 | 5.01 |
14.37 | 5.8 |
14.45 | 4.75 |
14.47 | 5.48 |
14.53 | 6.09 |
14.53 | 5.59 |
14.62 | 4.82 |
14.69 | 5.12 |
14.71 | 5.23 |
14.76 | 4.39 |
14.82 | 5.81 |
14.9 | 5.5 |
14.91 | 5.84 |
14.92 | 4.36 |
15.02 | 4.91 |
15.06 | 4.99 |
15.09 | 3.7 |
15.19 | 6.21 |
15.21 | 6.21 |
15.22 | 4.1 |
15.33 | 4.1 |
15.36 | 4.69 |
15.4 | 5.6 |
15.44 | 3.51 |
15.53 | 5.91 |
15.56 | 3.99 |
15.61 | 3.59 |
15.65 | 4.18 |
15.8 | 3.8 |
15.91 | 3.61 |
15.98 | 3.3 |
16.02 | 3.8 |
16.06 | 3.49 |
16.13 | 3.19 |
16.14 | 6 |
16.22 | 3.5 |
16.34 | 2.8 |
16.42 | 3.61 |
16.71 | 2 |
16.74 | 3.5 |
16.84 | 3 |
17.17 | 3.61 |
17.51 | 2.97 |
The
b.
To compare: The analysis for the 2D system with that of 3D system and explain whether 3D program is an improved version over the 2D version.
b.
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Explanation of Solution
In this case, temperature is an explanatory variables as it does not get affected by any other variables
Graph:
The scatter plot for the provided variables can be constructed as:
From the scatter plot constructed above,
Direction: There is a negative association between the two variables
Form: There is approximately linear relationship between the variables.
Strength: There is a moderate negative relationship between variables
c.
To find: The numerical value of the correlation, if possible and explain the association using the value of the
c.
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Explanation of Solution
The correlation using the mentioned steps of Excel below can be calculated as:
- Enter the data set in the Excel sheet.
- Click on Data > Data Analysis.
- Select “Correlation” from the drop down menu.
- Select input
range . - Click OK.
The obtained output is:
Thus, the correlation coefficient ( r ) is approximately -0.62. Thus, it is confirmed that there is a moderate
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EBK PRACTICE OF STATISTICS IN THE LIFE
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