question archive Annual high temperatures in a certain location have been tracked for several years
Annual high temperatures in a certain location have been tracked for several years
Subject:StatisticsPrice: Bought3
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the number of years after 2000 and YY the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places).
| x | y |
|---|---|
| 5 | 34.85 |
| 6 | 34.64 |
| 7 | 34.73 |
| 8 | 34.12 |
| 9 | 34.81 |
| 10 | 36.9 |
| 11 | 34.19 |
| 12 | 36.98 |
| 13 | 34.07 |
| 14 | 37.56 |
| 15 | 35.55 |
| 16 | 37.84 |
The equation is ˆyy^ = x +
Interpret the slope
- For each additional year, the annual high temperature will increase by 0.23 degrees on average.
- For each additional 0.23 years, the annual high temperature will increase by 1 degree on average.
- For each additional 33.15 years, the annual high temperature will increase by 1 degree on average.
- For each additional year, the annual high temperature will increase by 33.15 degrees on average.
Interpret the y-intercept
- In 2005, the temperature was about 33.15.
- In 2005, the temperature was about 0.23.
- It does not make sense to interpret the intercept in this scenario.
- In 2016, the temperature was about 37.84.
- In 2000, the temperature was about 33.15.
