Question

If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y-intercept of the regression line to three decimal places. y 2 21 3 69 4 261 5 1029 6 4101​

Answer 1

• log y = 0.576x + 0.139

Explanation:

Given data:

• x | 2 | 3 | 4 | 5 | 6
• y | 21 | 69 | 261 | 1029 | 4101​

Logarithms of y-values:

• log 21 = 1.322
• log 69 = 1.839
• log 261 = 2.417
• log 1029 = 3.012
• log 4101 = 3.613

The ordered pairs:

• (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)

Using an online calculator found the equation of the regression line:

• y = 0.576x + 0.139

In our case it is:

• log y = 0.576x + 0.139