Here are the data for radioactive decay of radioactive sample:
Time | 1 | 3 | 5 | 7 |
Log Count | 6.36662 | 5.77194 | 5.31677 | 4.76331 |
The least-squares regression line for these data is
count=6.6077+(−0.26326 ⋅time)count=6.6077+(−0.26326 ⋅time).
Calculate the residuals for the given counts.
Residual is actual value minus predicted value.
(Use decimal notation. Give your answer to five decimal places.)
Residual for case 1 is
Residual for case 2 is
Residual for case 3 is
Residual for case 4 is
Residual for case 1 is |
0.02218 |
Residual for case 2 is |
-0.04598 |
Residual for case 3 is |
0.02537 |
Residual for case 4 is |
-0.00157 |
[ explanation:-
time | actual count |
predicted count count=6.6077+(−0.26326 *time). |
residual = actual count-predicted count |
1 | 6.36662 | 6.6077-(0.26326*1)=6.34444 | 0.02218 |
3 | 5.77194 | 5.81792 | -0.04598 |
5 | 5.31677 | 5.2914 | 0.02537 |
7 | 4.76331 | 4.76488 | -0.00157 |
]
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