Question
A team of students collected data on the growth of a plant. They plotted the height of the plant every day and found the line of best fit y=0.23x+9.9%0D%0A%0D%0A=%0D%0A0.23%0D%0A%0D%0A+%0D%0A9.9%0D%0A for the growth of the plant. If the actual data point for day six is (6,7.82)%0D%0A(%0D%0A6%0D%0A,%0D%0A7.82%0D%0A)%0D%0A , what is the residual of the data point for day six? Round the answer to the nearest hundredths.(1 point)%0D%0AThe residual of the data point (6,7.82)%0D%0A(%0D%0A6%0D%0A,%0D%0A7.82%0D%0A)%0D%0A is .
Answers
GPT 3.5
The residual can be calculated by finding the difference between the actual value and the predicted value (based on the line of best fit).
Predicted value for day six:
y = 0.23(6) + 9.9
y = 1.38 + 9.9
y = 11.28
Residual:
Residual = Actual value - Predicted value
Residual = 7.82 - 11.28
Residual = -3.46
Therefore, the residual of the data point (6,7.82) is -3.46.
Predicted value for day six:
y = 0.23(6) + 9.9
y = 1.38 + 9.9
y = 11.28
Residual:
Residual = Actual value - Predicted value
Residual = 7.82 - 11.28
Residual = -3.46
Therefore, the residual of the data point (6,7.82) is -3.46.