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 4 36.68 5 35.85 6 35.52 7 35.99 8 38.46 9 38.93 10 38 11 38.07 12 39.54 13 40.11 14 41.58

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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 high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places).

x y
4 36.68
5 35.85
6 35.52
7 35.99
8 38.46
9 38.93
10 38
11 38.07
12 39.54
13 40.11
14 41.58



The equation is y^ = x +

Interpret the slope

  • For each additional 33.38 years, the annual high temperature will increase by 1 degree on average.
  • For each additional 0.52 years, the annual high temperature will increase by 1 degree on average.
  • For each additional year, the annual high temperature will increase by 0.52 degrees on average.
  • For each additional year, the annual high temperature will increase by 33.38 degrees on average.



Interpret the y-intercept

  • In 2000, the temperature was about 33.38.
  • It does not make sense to interpret the intercept in this scenario.
  • In 2004, the temperature was about 0.52.
  • In 2014, the temperature was about 41.58.
  • In 2004, the temperature was about 33.38.
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