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How does one qualitatively describe the cubic increase of experimental data
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I have generated some data Y and would like to describe its variation as a function of some variable X. Using MS Excel, I obtained the trendline shown in the figure below which suggests that Y varies approximately cubically with X. However, I would like to omit the trendline itself (leaving only the data points marked by the blue diamonds) and describe the data qualitatively in an increasing sense. To that end, would it be accurate for me to use the following statement: the data Y increases approximately cubically with X?
statistics data-analysis
edited Jul 22 at 1:19
Henry
93k469147
asked Jul 21 at 18:33
Bob1986
32
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I have generated some data Y and would like to describe its variation as a function of some variable X. Using MS Excel, I obtained the trendline shown in the figure below which suggests that Y varies approximately cubically with X. However, I would like to omit the trendline itself (leaving only the data points marked by the blue diamonds) and describe the data qualitatively in an increasing sense. To that end, would it be accurate for me to use the following statement: the data Y increases approximately cubically with X?
statistics data-analysis
edited Jul 22 at 1:19
Henry
93k469147
asked Jul 21 at 18:33
Bob1986
32
Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
1
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have generated some data Y and would like to describe its variation as a function of some variable X. Using MS Excel, I obtained the trendline shown in the figure below which suggests that Y varies approximately cubically with X. However, I would like to omit the trendline itself (leaving only the data points marked by the blue diamonds) and describe the data qualitatively in an increasing sense. To that end, would it be accurate for me to use the following statement: the data Y increases approximately cubically with X?
statistics data-analysis
edited Jul 22 at 1:19
Henry
93k469147
asked Jul 21 at 18:33
Bob1986
32
I have generated some data Y and would like to describe its variation as a function of some variable X. Using MS Excel, I obtained the trendline shown in the figure below which suggests that Y varies approximately cubically with X. However, I would like to omit the trendline itself (leaving only the data points marked by the blue diamonds) and describe the data qualitatively in an increasing sense. To that end, would it be accurate for me to use the following statement: the data Y increases approximately cubically with X?
statistics data-analysis
edited Jul 22 at 1:19
Henry
93k469147
asked Jul 21 at 18:33
Bob1986
32
edited Jul 22 at 1:19
Henry
93k469147
edited Jul 22 at 1:19
Henry
93k469147
edited Jul 22 at 1:19
Henry
93k469147
93k469147
asked Jul 21 at 18:33
Bob1986
32
asked Jul 21 at 18:33
Bob1986
32
asked Jul 21 at 18:33
Bob1986
32
32
Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
1
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20
add a comment |Â
Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
1
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20
Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
1
1
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20
add a comment |Â
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Insofar as what you really mean to say is "I found a cubic polynomial whose values at the $X$ points agree fairly well with the data". I would also suggest a rescaling of the data, as the coefficients of your polynomial are quite small.
– uniquesolution
Jul 21 at 18:38
1
By the way, y decreases if x increases.
– callculus
Jul 21 at 18:45
There are high risks in trying to extrapolate a polynomial curve
– Henry
Jul 22 at 1:20