Volume versus density. Marbles.
Data table
marble volume (cm³) | Marble mass (g) |
---|---|
0.62 | 1.65 |
1.70 | 4.35 |
7.42 | 18.60 |
21.31 | 53.75 |
21.31 | 53.75 |
Carved soap experiment.
Data table. The variable volumes are due to ± 0.1 mm in actual measures on different slab faces.
Soap volume (cm³) | Soap mass (g) |
---|---|
6.9 | 8.1 |
8.0 | 8.1 |
9.0 | 8.1 |
11.3 | 12.2 |
11.7 | 12.2 |
17.4 | 20.3 |
19.0 | 20.3 |
A test of the soap used found that the soap sank in water, as predicted by the density being greater than one.
The initial slab from a half of a bar of GIV soap.
The initial slab was split roughly 2:1, with all cutting being done by hand. That the result was a strong correlation was both a pleasant surprise and an assurance that the system is relatively robust. The slabs were not perfectly squared off, yet the relation held.
Typically used functions in conjunction with regressions
Linear Regression Functions | |||
---|---|---|---|
Statistic or Parameter | Math symbol | Stat symbol | OpenOffice |
Slope | m | b | =SLOPE(y-data;x-data) |
Intercept | b | a | =INTERCEPT(y-data;x-data) |
Correlation | r | =CORREL(y-data;x-data) | |
Coefficient of Determination | r2 | =(CORREL(y-data;x-data))^2 | |
Slope for intercept forced equal to zero | =LINEST(y-data;x-data;0) |