A factory deep in a fjord has over a long time released a certain type of heavy metal, and a mapping of the concentration of the heavy metal on the seabed in the area around the factory has been carried out. It's for each sample recorded heavy metal concentration, distance to the factory (in km) and depth (in meters). You find the data in the file Heavy metal data. We will initially look at the connection between heavy metal concentration and distance to the factory, and fit a linear regression model Y = α + βx + e where we use heavy metal concentration as Y -variable and distance as x-variable. 1.) Briefly explain why it is reasonable to use heavy metal concentration as the Y variable and distance as x-variable and not the opposite. 2.) Give practical interpretations of the α-parameter and the β-parameter in the model in this situation. 2.) What does it mean in practice in this specific situation if β < 0, if β = 0 and if β > 0?
A factory deep in a fjord has over a long time released a certain type of heavy metal, and a mapping
of the concentration of the heavy metal on the seabed in the area around the factory has been carried out. It's for each
sample recorded heavy metal concentration, distance to the factory (in km) and depth (in meters). You find
the data in the file Heavy metal data.
We will initially look at the connection between heavy metal concentration and distance to the factory,
and fit a linear regression model Y = α + βx + e where we use heavy metal concentration as
Y -variable and distance as x-variable.
1.) Briefly explain why it is reasonable to use heavy metal concentration as the Y variable and distance
as x-variable and not the opposite.
2.) Give practical interpretations of the α-parameter and the β-parameter in the model in this situation.
2.) What does it mean in practice in this specific situation if β < 0, if β = 0 and if β > 0?
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