. QuarkNet, a project funded by the National Science Foundation and the US Depar

Question

.

QuarkNet, a project funded by the National Science Foundation and the US Department of Energy, poses the following problem on its website: "Last year, deep within the Soudan mine, QuarkNet teachers began a long-term experiment to measure the amount of carbon-14 remaining in an initial 80-gram sample at 2000-year intervals. The experiment will be complete in the year 32001. Fortunately, a method for sending information backwards in time will be discovered in the year 29998, so, although the experiment is far from over, the results are in and recorded in the StatCrunch data set titled, "QuarkNet." Use your model to predict the year when the mass has 53 grams left. Round to two decimals.

Explanation / Answer

Here time is dependent variable and mass is independent variable.

Here we have to predict time when mass = 53 grams

The dataset is,

time mass

0 100

2000 76

4000 61

6000 47

8000 36

10000 29

12000 22

14000 17

16000 13

We can predict time by using regression equation.

We can find regression equation in MINITAB.

ENTER data into MINITAB sheet --> Stat --> Regression --> Regression --> Response : time --> Predictors : mass --> Results : select second option --> ok --> ok

The regression equation is
time = 15999 - 180 mass

Now we can predict time when mass = 53 grams.

time = 15999 - 180 mass

= 15999 - 180*53 = 6459 years

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