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Answer :
Final answer:
The equation of the regression line can be found using the formula y = mx + b, where m is the slope and b is the y-intercept. To construct a scatter plot, plot each data point on a graph and draw a line that best fits the data points. To predict the values of y for given x values, substitute the x values into the equation of the regression line.
Explanation:
To find the equation of the regression line, we need to calculate the slope (m) and the y-intercept (b). The formula for the slope is:
m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)
where n is the number of data points, Σxy is the sum of the products of x and y, Σx is the sum of x values, and Σy is the sum of y values. The formula for the y-intercept is:
b = (Σy - mΣx) / n
Once we have the values of m and b, we can write the equation of the regression line as y = mx + b.
To construct a scatter plot, we plot each data point on a graph, with the x values on the x-axis and the y values on the y-axis. Then, we draw a line that best fits the data points.
To predict the values of y for given x values, we substitute the x values into the equation of the regression line and calculate the corresponding y values.
Learn more about regression analysis and scatter plots here:
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