The image shows a table representing the values of $x$ (years after 1965) and $y$ (profit in millions), along with a linear model $Y = 1.19X + 13.68$. The task is to estimate the profit in the year 1970 using this model.

To find the profit in 1970:

1. First, calculate $X$ for 1970: $X = 1970 - 1965 = 5$
2. Substitute $X = 5$ into the equation $Y = 1.19X + 13.68$: $Y = 1.19(5) + 13.68$ $Y = 5.95 + 13.68$ $Y = 19.63$

Thus, the estimated profit in 1970 is 19.63 million.

Would you like more details or have any questions about this process?

Here are 5 questions that expand on this:

1. How is the slope $1.19$ in the linear equation interpreted in this context?
2. What would the estimated profit be for 1975 using the same model?
3. What does the y-intercept $13.68$ represent in this scenario?
4. How can you determine whether the linear model is a good fit for the data?
5. What impact would a change in slope have on future profit estimates?

Tip: A linear model assumes that the relationship between variables remains constant over time, so be cautious when extrapolating far beyond the data range.