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A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a slope of −0.02. What is the value of y at x = 5 from the fit?
- a)−0.030
- b)−0.014
- c)0.014
- d)0.030
Correct answer is option 'A'. Can you explain this answer?
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A straight line is fit to a data set (lnx,y). This line intercepts the...
Unfortunately, the slope value is missing from the question. Could you please provide the slope value?
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A straight line is fit to a data set (lnx,y). This line intercepts the...
The equation of a line is
y = mx + c where m is the slope & c is the y-intercept
Now, In this question x is replaced with lnx
So, the equation of line becomes,
y = mlnx + c
or, y = -0.02lnx + c
We have given with abscissa which is essentially x-intercept. So, now we have to find ‘c’ the y-intercept.
for, y=0, lnx = 0.1 (given in the question)
Putting the value,
0 = -0.02 × 0.1 + c
or, c = 0.002
So, the equation of line becomes,
y = -0.02lnx + 0.002
putting x = 5 (asked in the question)
y = -0.002ln5 + 0.002 = -0.002 × 1.6 + 0.002 = -0.03
(ln5 = 1.6)
y = mx + c where m is the slope & c is the y-intercept
Now, In this question x is replaced with lnx
So, the equation of line becomes,
y = mlnx + c
or, y = -0.02lnx + c
We have given with abscissa which is essentially x-intercept. So, now we have to find ‘c’ the y-intercept.
for, y=0, lnx = 0.1 (given in the question)
Putting the value,
0 = -0.02 × 0.1 + c
or, c = 0.002
So, the equation of line becomes,
y = -0.02lnx + 0.002
putting x = 5 (asked in the question)
y = -0.002ln5 + 0.002 = -0.002 × 1.6 + 0.002 = -0.03
(ln5 = 1.6)
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A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer?
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A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer?.
A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line is fit to a data set (lnx,y). This line intercepts the abscissa at lnx= 0.1 and has a slope of −0.02. What is the value ofyatx= 5 from the fit?a)−0.030b)−0.014c)0.014d)0.030Correct answer is option 'A'. Can you explain this answer?.
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