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Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the

Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places).

x y
2 35.06
3 37.74
4 35.92
5 37.7
6 36.38
7 39.96
8 37.94
9 39.12
10 40.4
11 39.28
12 42.66
13 41.84
14 40.62
15 41.4

The equation is y^ = x + Interpret the slope

  • For each additional year, the annual high temperature will increase by 0.48 degrees on average.
  • For each additional 34.91 years, the annual high temperature will increase by 1 degree on average.
  • For each additional year, the annual high temperature will increase by 34.91 degrees on average.
  • For each additional 0.48 years, the annual high temperature will increase by 1 degree on average.

Interpret the y-intercept

  • It does not make sense to interpret the intercept in this scenario.
  • In 2002, the temperature was about 0.48.
  • In 2015, the temperature was about 41.4.
  • In 2000, the temperature was about 34.91.
  • In 2002, the temperature was about 34.91

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