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Suppose that a regression line for some data transformed with logarithms

predicts that when x equals 4, log(y) will equal 3.331. What does the

regression line predict y will equal when xequals 4? Round your answer to the

nearest whole number.

Respuesta :

shallomisaiah19

Answer:

The regression line predicts that at x = 4, y equals 2143

Step-by-step explanation:

Given that when x equals 4, log(y) will equal 3.331

To find: Find y when x equals 4

Since we have given that,

When x = 4,

log  y = 3.331  

We need to find the value of 'y' when x = 4

[tex]log_{10}y = 3.331[/tex]

Since it is logarithmic function with base 10, Raise to power of 10 on both sides,

[tex]10^{log_{10}y} = 10^{3.331}[/tex]

we get

[tex]y = 10^{3.331}\\\\y = 2142.89[/tex]

rounding to nearest whole number, we get 2143

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