Tesla has been an amazing company to study. From huge promises and exciting products, to massive debt and production issues, nobody (not even Elon!) can reasonably predict what is going to happen next - except maybe you! Here are the actual production figures for Tesla since the beginning of 2016. | Quarter | Units Produced | |---------|----------------| | Q1 2016 | 15510 | | Q2 2016 | 18345 | | Q3 2016 | 25185 | | Q4 2016 | 24882 | | Q1 2017 | 25418 | | Q2 2017 | 25708 | | Q3 2017 | 25336 | | Q4 2017 | 24565 | | Q1 2018 | 34494 | | Q2 2018 | 53339 | | Q3 2018 | 80142 | | Q4 2018 | 86555 | | Q1 2019 | 77100 | | Q2 2019 | 87048 | | Q3 2019 | 96155 | | Q4 2019 | 104981 | a) What type of regression model do you think best fits this data? How do you know? b) Using a Desmos regression analysis, what is your suggested regression equation? c) How many cars do you predict Tesla will produce in all of 2021? How confident are you in your prediction? Explain.
Tesla has been an amazing company to study. From huge promises and exciting products, to massive debt and production issues, nobody (not even Elon!) can reasonably predict what is going to happen next - except maybe you!
Here are the actual production figures for Tesla since the beginning of 2016.

| Quarter | Units Produced |
|---------|----------------|
| Q1 2016 | 15510 |
| Q2 2016 | 18345 |
| Q3 2016 | 25185 |
| Q4 2016 | 24882 |
| Q1 2017 | 25418 |
| Q2 2017 | 25708 |
| Q3 2017 | 25336 |
| Q4 2017 | 24565 |
| Q1 2018 | 34494 |
| Q2 2018 | 53339 |
| Q3 2018 | 80142 |
| Q4 2018 | 86555 |
| Q1 2019 | 77100 |
| Q2 2019 | 87048 |
| Q3 2019 | 96155 |
| Q4 2019 | 104981 |

a) What type of regression model do you think best fits this data? How do you know?
b) Using a Desmos regression analysis, what is your suggested regression equation?
c) How many cars do you predict Tesla will produce in all of 2021? How confident are you in your prediction? Explain. Use logs