Question: Use the given data set to complete parts (a) through (c) below. (Use alphaequals=0.05.) x 1010 88 1313 99 1111 1414 66 44 1212 77
Use the given data set to complete parts (a) through (c) below. (Use
alphaequals=0.05.)
x | 1010 | 88 | 1313 | 99 | 1111 | 1414 | 66 | 44 | 1212 | 77 | 55 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
y | 7.467.46 | 6.776.77 | 12.7312.73 | 7.117.11 | 7.817.81 | 8.838.83 | 6.076.07 | 5.395.39 | 8.158.15 | 6.426.42 | 5.735.73 |
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Part 1
a. Construct a scatterplot. Choose the correct graph below.
A.
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A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven plotted points strictly follow the pattern of a line that passes through the points (4, 6) and (14, 1). All coordinates are approximate.
B.
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A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 16 in increments of 2. Eleven points are plotted. Ten of the plotted points strictly follow the pattern of a line rising from left to right passing through the points (4, 5.4) and (14, 8.8). A point is plotted at (13, 12.8). All coordinates are approximate.
Your answer is correct.
C.
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A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Ten plotted points strictly follow the pattern of a curve that rises from left to right passing through the points (4, 3.2) and (8, 8.2) to a maximum at (11, 9.2) and then falls passing through the point (14, 8.2). All coordinates are approximate.
D.
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A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven plotted points strictly follow the pattern of a curve passing through the points (4, 1), (8, 2.4), and (14, 8). All coordinates are approximate.
Part 2
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
The linear correlation coefficient is
requals=enter your response here.
(Round to three decimal places as needed.)
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