The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.
A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.
Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;
y^ = 180.8 + 15.2x
Now, for 2 tablespoons of sugar , we have x = 2. Thus;
y^ = 180.8 + 15.2(2)
y^ = 212.4 hours
Residual for 204 hours is;
Residual = 204 - 212.4 = -8.4 hours
Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.
Read more about residual of a scatter plot at; https://brainly.com/question/9319773
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Complete question is;
Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.
Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.
