Question

question 23 of 27 > when mentos are dropped into a newly opened bottle of diet coke, carbon dioxide is released from the diet coke very rapidly, causing the diet coke to be expelled from the bottle. to see if using more mentos causes more diet coke to be expelled, brittany and allie used twenty - four 2 - cup bottles of diet coke and randomly assigned each bottle to receive either 2,3,4, or 5 mentos. after waiting for the fizzing to stop, they measured the amount expelled (in cups) by subtracting the amount remaining from the original amount in the bottle. given is some computer output from a regression of y = amount expelled on x = number of mentos. term coef se coef t - value p - value constant 1.0021 0.0451 22.21 0.000 mentos 0.0708 0.0123 5.77 0.000 s = 0.0624 r - sq = 60.2% r - sq(adj) = 58.4% is a line an appropriate model to use for these data? explain how you know. no. there is a curved pattern in the residual plot so a linear model is not appropriate for these data. no. the s value is small, so a linear model is appropriate for these data. yes. there is no leftover curved pattern in the residual plot so a linear model is appropriate for these data. no. there is no leftover pattern in the residual plot so a linear model is not appropriate for these data. yes. there is a moderate r² value so a linear model is appropriate for these data.

Explanation:

A linear model is appropriate when the residual plot shows no leftover curved pattern. If there is a curved pattern in the residual plot, it indicates that a non - linear relationship exists between the variables and a linear model is not suitable.

Answer:

Yes. There is no leftover curved pattern in the residual plot so a linear model is appropriate for these data.