Concept explainers
Remainder Round all answers to two decimal places unless otherwise indicated.
The Effect of Sampling Error on Linear Regression A stream that feeds a lake is flooding, and during this flooding period, the depth of water in the lake is increasing. The actual depth of the water at a certain point in the lake is given by the linear function
|
|
0 | 51.9 |
0.5 | 52.5 |
1 | 52.9 |
1.5 | 53.3 |
2 | 53.7 |
Plot the data points.
Find the equation of the regression line for D as a function of t, and explain in practical terms the meaning of the slope.
Add the graph of the regression line to the plot of the data points.
Add the graph of the depth function
What was the actual depth of the water at t = 3 hours?
What prediction would the hydrologist’s regression line give for the depth of the water at t = 3?
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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