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Makovka662 [10]
2 years ago
9

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​
Mathematics
1 answer:
Elis [28]2 years ago
7 0

Answer:

  • log y = 0.576x + 0.139

Step-by-step explanation:

<u>Given data:</u>

  • <u>x  |  2   |   3   |  4    |   5      |  6     </u>
  • y  | 21   |  69 | 261  | 1029  |  4101​

<u>Logarithms of y-values:</u>

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

<u>The ordered pairs:</u>

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

<u>Using an online calculator found the equation of the regression line:</u>

  • y = 0.576x + 0.139

<u>In our case it is:</u>

  • log y = 0.576x + 0.139

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