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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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