Mary collected data each day on how many commercials she saw and how long she watched TV. She displayed her data in a scatter plot. Based on the least square regression line graphed on the scatterplot, estimate the residual for a person who spent 40 minutes watching TV and saw 10 commercials. 2 4 -2 -4
To estimate the residual for a person who spent 40 minutes watching TV and saw 10 commercials, we first need to find the equation of the least square regression line from the scatterplot. This equation will be used to calculate the predicted number of commercials based on the number of minutes watched.
Let's say the equation of the least square regression line is:
y = mx + b
In this case, y represents the number of commercials seen, x represents the number of minutes spent watching TV, and m and b are the coefficients that we need to find.
Once we find the equation of the line, we can calculate the predicted number of commercials for someone who spent 40 minutes watching TV.
First, calculate the slope (m) and y-intercept (b) for the least square regression line using the data points collected by Mary.
Then, plug in x = 40 into the equation to find the predicted number of commercials.
Finally, subtract the predicted number of commercials from the actual number of commercials (10) to find the residual.
If you provide the actual data points or the equation of the least square regression line, we can help you calculate the residual.