A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the dep it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6. Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, X; 46.7 63.4 45.1 44.4 56.6 70.8 Depth Five Years Later, Y; 55.3 61.2 47.6 42.8 62.7 68.4 Click the icon to view the table of critical t-values. a) Why is it important to take the measurements on the same date?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the dep
it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below.
Observation
1
2
3
4
5
6.
Date
1/25
3/19
5/30
7/3
9/13
11/7
Initial Depth, X;
46.7
63.4
45.1
44.4
56.6
70.8
Depth Five Years Later, Y;
55.3
61.2
47.6
42.8
62.7
68.4
Click the icon to view the table of critical t-values.
a) Why is it important to take the measurements on the same date?
Transcribed Image Text:A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the dep it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below. Observation 1 2 3 4 5 6. Date 1/25 3/19 5/30 7/3 9/13 11/7 Initial Depth, X; 46.7 63.4 45.1 44.4 56.6 70.8 Depth Five Years Later, Y; 55.3 61.2 47.6 42.8 62.7 68.4 Click the icon to view the table of critical t-values. a) Why is it important to take the measurements on the same date?
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