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?

Expert Solution

Since the figure will be straight line having intercept 0.1 at abscissa and slope = - 0.02

Hence, equation of line

⇒ y = - m(ln x) + c

when x = 0.1, then y = 0

⇒ 0 = - 0.02(0.1) + c

⇒ c = 0.02

Now when x = 5

⇒ y = - m(ln 5) + c

⇒ y = - 0.02(1.6) + 0.02

⇒ y = - 0.032 + 0.02

⇒ y = - 0.030

∴ The value of y when x = 5 is -0.030.

Nipun Maity answered 1 year ago

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