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Suppose that a regression line for some data transformed with logarithms predicts that when x equals 5 log(y)will equal 2.447 what does the regression line predict y will equal when x equals 5


A: 12

B: 280

C: 51

D: 2

Respuesta :

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Answer:

B: 280

Step-by-step explanation:

The regression line predicts that when x equals 5:

[tex]log_{10}(y) = 2.447[/tex]

In order to find the value for y, one must simply apply the following logarithmic property:

if : [tex]log_{b}(a) = c[/tex]

then: [tex]b^c = a[/tex]

Applying it to this particular problem:

[tex]log_{10}(y) = 2.2447\\10^{2.447}= y\\y=280[/tex]

Therefore, the regression line predicts y will equal 280 when x equals 5.

Answer:

280

Step-by-step explanation:

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