Final answer:
A scatter plot would display the number of visitors against the day number, and the estimated regression line would show the trend of visitors over time. The slope indicates the change in visitors per day. A reasonable estimate for the slope, based on visual approximation, would be around 1.6 or 2.4.
Step-by-step explanation:
To sketch a scatter plot for the given data of people visiting a historical landmark over a period of one week, we plot each day as a point on the graph with the day number as the x-coordinate and the number of visitors as the y-coordinate. Once the scatter plot is drawn, the next step is to draw an estimated regression line, which is a line that best represents the trend of the data. The slope of this regression line represents the average change in the number of visitors per day.
To draw a regression line by eye, one would try to ensure that there are as many points above the line as there are below it. The exact slope requires calculation, but estimating visually, we look for a line that rises approximately as much as the increase in visitors from day to day. Given the options provided (0.6, 1.0, 1.6, 2.4, 3.2), if we assume the slope represents the increase in visitors per day over the week, we might expect the slope to be around 2, as the visitor count is increasing by roughly 2 to 3 people per day. Therefore, a slope of 1.6 or 2.4 would be a reasonable estimate for the slope, but without doing exact calculations, we cannot determine the value precisely.