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The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 25 students last week,

(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part
(1), predict the time spent doing homework for a student who spends 18 hours watching TV. Note that you can use the graphing fools to help you approximate the line. (o) Write an applyimate equation of the line of best ne- y= (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 18 hours watching TV

User Blankmaker
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Final answer:

To determine the line of best fit on a scatter plot, calculate the slope between two points on the trend, find the y-intercept, and use these to form the equation of the line. Substitute x = 18 into the equation to predict the time spent doing homework for a student who watches 18 hours of TV.

Step-by-step explanation:

The question involves creating an approximate equation of the line of best fit for a scatter plot that shows the relationship between the time spent watching TV (independent variable, x) and the time spent doing homework (dependent variable, y), and then using that equation to make a prediction. To create the equation, one would typically choose two points that seem to fit within the overall trend of the data points and calculate the slope (m) using the slope formula m = (y2 - y1)/(x2 - x1). Then, using the slope and one of the chosen points, the y-intercept (b) can be found by rearranging the slope-intercept form equation y = mx + b to solve for b. Once the slope and y-intercept are determined, the equation can be written in the form y = mx + b. To predict the time spent doing homework for a student who spends 18 hours watching TV, we would substitute x = 18 into the equation and solve for y.

User Minillinim
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