Suppose we create a model of the height of a shrub (Y) based on the amount of bacteria in the soil (X1) and whether the plant is located in partial or full sun (X2). Height is measured in cm, bacteria is measured in thousand per ml of soil (so 1000 is 1 unit), and type of sun = 0 if the plant is in partial sun and type of sun = 1 if the plant is in full sun. What will be the height difference on average between shrubs with a 5500 bacteria and those with a 4000 bacteria count. Assuming the sun is the same for both. Let's say after a few training steps your model is in this state: Y = 33+4.6 * X1+ 8 * X2. Explain what the effect of the plant being in sun vs. partial shade will have on the average height of the shrub if there are no bacteria in the soil, based on the model.
Suppose we create a model of the height of a shrub (Y) based on the amount of bacteria in the soil (X1) and whether the plant is located in partial or full sun (X2). Height is measured in cm, bacteria is measured in thousand per ml of soil (so 1000 is 1 unit), and type of sun = 0 if the plant is in partial sun and type of sun = 1 if the plant is in full sun. What will be the height difference on average between shrubs with a 5500 bacteria and those with a 4000 bacteria count. Assuming the sun is the same for both. Let's say after a few training steps your model is in this state: Y = 33+4.6 * X1+ 8 * X2. Explain what the effect of the plant being in sun vs. partial shade will have on the average height of the shrub if there are no bacteria in the soil, based on the model.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:(a) Suppose we create a model of the height of a shrub (Y) based on the amount of bacteria in the soil
(X1) and whether the plant is located in partial or full sun (X2). Height is measured in cm, bacteria
is measured in thousand per ml of soil (so 1000 is 1 unit), and type of sun =
sun and type of sun =
between shrubs with a 5500 bacteria and those with a 4000 bacteria count. Assuming the sun is the
0 if the plant is in partial
1 if the plant is in full sun. What will be the height difference on average
same for both.
(b) Let's say after a few training steps your model is in this state: Y = 33 + 4.6 * X1+8* X2. Explain
what the effect of the plant being in sun vs. partial shade will have on the average height of the shrub
if there are no bacteria in the soil, based on the model.
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