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Suppose that a regression line for some data transformed with logarithms predicts that when x equals 6, log(y) will equal 2.012. What does the regression line predict y will equal when x equals 6?

Respuesta :

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Answer:

102.8

Step-by-step explanation:

If log₁₀y = 2.012, y = 10^2.012 = 102.8

Answer: The regression line predicts that at x = 6, the value of y = 102.80.

Step-by-step explanation:

Since we have given that

When x = 6,

[tex]\log y=2.012[/tex]

We need to find the value of 'y' when x=6:

[tex]\log_{10}y=2.012[/tex]

Since it is logarithmic function with base 10.

So, it becomes,

[tex]\log_{10}y=2.012\\\\y=10^{2.012}\\\\y=102.80[/tex]

Hence, The regression line predicts that at x = 6, the value of y = 102.80.

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