Answer :

Final answer:

To build a scatter plot and trend line from a table, first plot the given data points. Draw the trend line that best represents the data trend and create its equation using the form y=mx+b, calculating the slope 'm' and the y-intercept 'b'.

Explanation:

To make a scatter plot from a table, plot the points given in the table on a graph, where each pair of corresponding x and y values represents the coordinates for a point in the scatter plot. The X variable is the independent variable, and the Y variable is the dependent variable.

Once you have your scatter plot, you can draw a trend line that best demonstrates the general direction that the data points seem to be heading. A trend line does not need to touch any or all data points, it just represents the approximate relationship between X and Y variables. The line can be drawn either by eye or by calculating the least-squares regression line to mathematically determine the best fit.

To create the equation of the line, use the equation y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope can be determined by taking two points on the line (not necessarily points from the scatter plot) and applying the formula (y2-y1)/(x2-x1). The y-intercept is the point where the line crosses the y-axis, so it is the y value when x=0.

Learn more about Scatter Plots and Trend Lines here:

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