In 2014, Barcenas et al. sampled 40 juvenile octopi and measure their weight (grams)

and age (days). The results of their regression analysis are given below.

• Comment on the relationship shown by the scatterplot.
• Give the simple linear regression equation using weight to predict age.
• What change in age is associated with an increase in weight of 1 gram?
• What percent of the variation in age is explained by the linear relationship with weight?
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Age vs Weight of Juvenile Octopi SUMMARY OUTPUT 130 Regression Statistics 120 Multiple R 0.876 R Square 0.768 110 Adjusted R Square 0.762 1000 Standard Error 10.819 100 Observations 40 Age 90 Co . . . ANOVA 80 if SS MS Regression 1 14699.3195 14699.3 70 Residual 38 4448.180503 117.057 Total 39 19147.5 60 50 Coefficients Standard Error t Stat 0 20 40 60 80 100 120 Intercept 65.00 3.120809815 20.8281 Weight Weight 0.64 0.057524543 11.206