What happens when you log transform the dependent data in an exponential growth

Question

What happens when you log transform the dependent data in an exponential growth curve?

a.)It becomes a straight line

b.)It becomes undefined

c.)It becomes a parabola

d.)It becomes a line curving in the opposite direction

Question 2
Which of the following will result in graphs that have the same shape:

a.)a graph of the untransformed data (on regular paper) and a graph of log-transformed data (on semi-log paper).

b.)a graph of the log-transformed data (on regular paper) and a graph of log-transformed data (on semi-log paper)

c.)a graph of the log-transformed data (on regular paper) and a graph of untransformed data (on semi-log paper).

Question 3
You are making a graph on semi-log paper. If you label the first cycle 1000, which of the following is true:

a.)the second cycle will be 10,000 and the first tick between 1000 and 10,000 will be 1500.

b.)the second cycle will be 2000 and the first tick between 1000 and 2000 will be 1100.

c.)the second cycle will be 10,000 and the first tick between 1000 and 10,000 will be 2000.

Question 4
Click all items below that are true of log-transformations

a.)It always converts curved lines into straight lines

b.)It is usually useful, regardless of what kind of data you have

c.)It can help "unsquish" a graph

d.)It converts exponential growth curves into straight lines

Question 5
If your data spans the range 100 to 4500, what kind of semi-log paper will you need?

a.)1 cycle

b.)4.5 cycles

c.)3 cycles

d.)2 cycles

Question 6
If your data spans the range 2 hundred to 2 million, what kind of semi-log paper will you need?

a.)it doesn't matter how many cycles, because you can label them however you want

b.)5 cycles

c.)3 cycles

d.)2 cycles

Question 7
Last week you determined what wavelength of light works best for measuring p-nitrophenol in solution using a spectrophotometer. You then determined the extinction coefficient for p-nitrophenol in solution. What is the third parameter we will optimize for our protocol before we go on to our actual experiment?

a.)Enzyme concentration

b.)Incubation temperature

c.)Incubation time

d.)Buffer pH

Question 8
What will happen if you do not let the reaction between your enzyme and substrate go long enough?

a.)You won't get enough product to measure accurately

b.)The substrate will mask the product

c.)You will run out of substrate

d.)Your product will degrade

Question 9
On the other hand, what will happen if you let the reaction go to long?

a.)You won't get enough product to measure accurately

b.)You will run out of substrate

c.)The substrate will mask the product

d.)Your product will degrade

Question 10
Which one of the following hypotheses are are we testing?

a.)Alkaline phosphatase is mutated in people with acidic blood

b.)The mutant alkaline ohosphatase works best at a different pH than normal AP

c.)p-nitrophenol phosphate (pNPP) is a better substrate for normal AP than mutant AP

Explanation / Answer

Answer

1. The transformation of any exponential expression with the use of logarithms will create a straight line form. By determining the natural logarithm of each data value of the "y" and using the derived data to plot a graph vs the raw data for "x" will transform exponential growth curve into a straight line graph.

Therefore, the correct answer is option (a) - It becomes a straight line

2. A graph log transformed data on regular paper and the graph of untransformed data on semi-log paper will result in graphs that have the same shape.

Therefore, the correct answer is option (c).

3. In a semilog paper each cycle runs linearly in 10' s with an increase by factor 10 from one to another cycle. So, within a cycle the series should be 1-10 or 0.1-10. If, the first cycle is 1000, the second cycle will be 10,000 and the first tick between 1000 and 10,000 will be 2000.

Therefore, the correct answer is option (c).

4.  True statement regarding log-transformations is it converts exponential growth curves into straight lines.

Therefore, the correct answer is option (d).

5. In a semilog paper each cycle runs linearly in 10' s with an increase by factor 10 from one to another cycle. If data spans the range 100 to 4500 we need a semi-log paper with 2 cycles. First cycle 100-1000 and second cycle 1000 - 10,000.

Therefore, the correct answer is option (d).

6. As stated above in a semilog sheet each cycle runs in 10's, from 2 t0 2 million we would have 5 cycle.

2 - 200

200- 2000

2000-20,000

20,000 - 200, 000

200,000 - 2,000, 000

therefore, the correct answer is option (b).

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