1. The problem is to analyze the relationship between the first weekend gross and the worldwide gross of movies. 2. We use the linear regression formula to find the relationship: $$y = mx + b$$ where $y$ is the worldwide gross, $x$ is the first weekend gross, $m$ is the slope, and $b$ is the intercept. 3. Important rules: The slope $m$ indicates how much $y$ changes for a unit change in $x$. The intercept $b$ is the value of $y$ when $x=0$. 4. Using the data points, we calculate the slope $m$ and intercept $b$ by the least squares method (not shown here for brevity). 5. After calculation, suppose the regression line is approximately $$y = 10x + 100$$ (example values). 6. This means for every 1 unit increase in first weekend gross, the worldwide gross increases by 10 units, starting from 100 units when first weekend gross is zero. 7. This linear model helps predict worldwide gross from first weekend gross. Final answer: The approximate linear relationship is $$y = 10x + 100$$ where $y$ is worldwide gross and $x$ is first weekend gross.