The following data of the speed of sound propagating through an unknown metal is thought to...
The following data of the speed of sound propagating through an
unknown metal is thought to obey the following linear
relationship.
Perform two-dimensional linear statistics on following data.
x = vt + x0
Perform two-dimensional linear statistics on following data.
|
t |
x |
|
(s) |
(m) |
|
1 |
4933 |
|
2 |
8800 |
|
3 |
14830 |
|
4 |
21953 |
|
5 |
25705 |
|
6 |
29633 |
What is R2 to four decimal places? Does it imply a linear relationship?
?) = ____________________
Properly round and report the experimental values of ? and ?-.
V =
X0 =
Homework Answers
The required table is
The Pearson's R can be calculated by
The value is very close to +1, this imply a strong positive linear relationship which can be seen in the following graph.
Now,
Let us fit it in the linear equation
We must know that ( from statistics )
Where
Putting these values
And from statistics
So, the final answer is
Add Answer to:
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