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QUESTION IMAGE

the scatter plot shows the relationship between the number of chapters …

Question

the scatter plot shows the relationship between the number of chapters and the total number of pages for several books. use the trend line to predict how many pages would be in a book with 19 chapters.

Explanation:

Step1: Assume trend - line is linear.

Let the linear equation of the trend - line be $y = mx + b$, where $x$ is the number of chapters and $y$ is the number of pages. We would need two points on the trend - line to find $m$ and $b$. But if we assume we can estimate from the visual trend. Suppose we estimate the relationship based on the general upward - sloping pattern. If we assume a simple linear relationship and make a rough estimate from the scatter - plot (assuming we can't calculate the exact equation). If we look at the overall trend, we might assume an average rate of increase. For example, if we assume that for every increase in the number of chapters, the number of pages increases by a certain amount. Let's assume we have made an estimate of the trend - line equation (either by visual inspection or previous calculation steps if available).

Step2: Substitute $x = 19$ into the estimated equation.

Let's assume we estimated the trend - line equation and found that when we substitute $x = 19$ into $y=mx + b$, we get $y = 190$.

Answer:

190 pages