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

Answer:

• log y = 0.576x + 0.139

Step-by-step 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