1) Problem #PRAJH5H "PRAJH5H - 245868 - This problem uses..." |
A)
This dataset represents the relation between temperature in degrees Celsius and vapor pressure of mercury in millimeters (of mercury). Based on the data found above, which model should be used to best represent this data? Hint - Model each of the answers found below, making sure to sketch the scatterplots and residual plots as well as writing down each individual equation into your notebook as you will need them for future questions. From the plots, determine which model is most appropriate. © STATS4STEM.ORG |
Multiple Choice:
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B)
Which model represents the linear relationship? |
Multiple Choice:
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C)
Which model best represents y-hat? A) y-hat = 10-13.83 + 6.55*log(x) B) y-hat = 10 -13.83 + 6.55*x C) y-hat = e-13.83 + 6.55*log(x) D) log(y-hat) = 10-13.83 + 6.55*log(x) E) log(y-hat) = 10-13.83 + 6.55*x |
Multiple Choice:
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D)
Using the previous equation, estimate the pressure when the temperature is 210 degrees Celcius. ***ROUND ANSWER TO THE NEAREST TENTH.*** |
Algebraic Expression:
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Hints: |
y-hat = 10-13.83 + 6.55*log(210) |
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2) Problem #PRAKBZM "PRAKBZM - 269772 - Using the followi..." |
A)
Using the following dataset, please analyze the dataset under the assumption that the data represents exponential growth. Which of the above sets of graphs represent a transformation for exponential growth? © STATS4STEM.ORG |
Multiple Choice:
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B)
After reviewing the graphical ouput, does the transformation provide a good linear fit? |
Multiple Choice:
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C)
What is the equation of your line? |
Multiple Choice:
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D)
Which equation best represents y-hat? A) y =10-0.0327+0.708x B) y-hat=10-0.0327+0.708*log(x) C) y-hat=10-0.0327+0.708x D) log(y-hat)=10-0.0327+0.708x E) log(y-hat)=10-0.0327+0.708*log(x) |
Multiple Choice:
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E)
If x=0.9, calculated y-hat. Round answer to the nearest hundredth. |
Algebraic Expression:
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Hints: |
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3) Problem #PRAKBZK "PRAKBZK - 269771 - The following dat..." |
A)
The following dataset is an example of: © STATS4STEM.ORG |
Multiple Choice:
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B)
The following is an example of exponential growth: Determine A. Round answer to the nearest hundredth. |
Algebraic Expression:
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Hints: |
Therefore, A/12.25 = 3.5 |
Therefore, A = 3.5 × 12.25 = 42.875 or 42.88 (ROUNDED) |
4) Problem #PRAKCGD "PRAKCGD - 270230 - If log(x) = 1, ca..." |
A)
If log(x) = 1, calculate x. © STATS4STEM.ORG |
Algebraic Expression:
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Hints: |
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B)
If log(y) = 2.5, calculate y. Round answer to the nearest hundredth. |
Algebraic Expression:
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Hints: |
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C)
If log(y) = 3.3, calculate y. Round answer to the nearest hundredth. |
Algebraic Expression:
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Hints: |
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5) Problem #PRAKCGE "PRAKCGE - 270231 - Which equation is..." |
A)
Which equation is used to model exponential growth? A) y-hat = a + bx B) log(y-hat) = a + bx C) y-hat = a + b*log(x) D) log(y-hat) = a + b*log(x) © STATS4STEM.ORG |
Multiple Choice:
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B)
Which equation is used to model the power law? A) y-hat = a + bx B) log(y-hat) = a + bx C) y-hat = a + b*log(x) D) log(y-hat) = a + b*log(x) |
Multiple Choice:
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6) Problem #PRARA4D "PRARA4D - Problem #417852" |
A)
Measurements from 15 random beech trees (Fagus Sylvatica) taken from a forest in Navarra, Spain are listed below. The data comes from the biomass dataset. Which modeling method produces the best linear fit? Hint - Model each of the answers found below, making sure to sketch the scatterplots and residual plots as well as writing down each individual equation into your notebook as you will need them for future questions. From the plots, determine which model is most appropriate. Variable Descriptions:
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Multiple Choice:
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B)
Which model represents the linear relationship? |
Multiple Choice:
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Hints: |
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C)
Estimate the weight of the stem in kilograms, rounded to the nearest whole number, for a tree that has a stem diameter of 14 centimeters. *** ROUND ANSWER TO THE NEAREST WHOLE NUMBER *** |
Algebraic Expression:
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Hints: |
y-hat=102.16*log(14)-0.62
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Answer: 71.72 or 72 (ROUNDED)
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