a.
To Graph:
A
Given:
The data set:
Age (months) | Weight (pounds) |
18 | 23 |
20 | 25 |
24 | 24 |
26 | 32 |
27 | 33 |
29 | 29 |
34 | 35 |
39 | 39 |
42 | 44 |
Graph:
Plot the given points on a coordinate plane to get a scatter plot.
Conclusion:
The scatter plot of the given data set is drawn above.
b.
To Describe:
The strength, and the direction of the
Strong
Given:
The data set:
Age (months) | Weight (pounds) |
18 | 23 |
20 | 25 |
24 | 24 |
26 | 32 |
27 | 33 |
29 | 29 |
34 | 35 |
39 | 39 |
42 | 44 |
Known from Previous Part:
The scatter plot of a data set:
Concepts Used:
When points on the scatter plot of a dataset are clustered along a straight line, then the data is said to have linear correlation.
The collective nearness of these points to a single straight line indicates the strength of linear correlation. This can be estimated by the width of an oval enclosing all the points tilted along the said straight line. The larger the width, the lesser is the strength of the linear correlation.
If the value of
Calculations:
Draw an oval enclosing the points on the data.
Interpretation:
The oval enclosing the points is tilted along a straight line, indicating linear correlation.
The oval is much smaller in width as compared to its length. Thus, the strength of correlation is strong.
The oval is tilted along a line with positive slope, thus the direction of linear correlation is positive.
Conclusion:
The given data set represents a data set with strong positive linear correlation.
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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