13.41 According to “Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana”

(Journal of Herpetology [1999]: 100– 105), the size of a female salamander’s snout is correlated with the number of eggs in her clutch. The following data are consistent with summary quantities reported in the article.

Partial Minitab output is also included.

Transcribed Image Text:

Snout-Vent Length 32 53 53 53 54 45 215 160 170 190 Clutch Size Snout-Vent Length 57 57 58 58 59 200 270 175 245 215 Clutch Size Snout-Vent Length Clutch Size 63 63 64 67 170 240 245 280 The regression equation is Predictor Y=-133 +5.92x Constant -133.02 Coef StDev T P 64.30 2.07 0.061 X 5.919 1.127 5.25 0.000 S = 33.90 R-Sq-69.7% R-Sq(adj) = 67.2% Additional summary statistics are n = 14 = 45,958 x = 56.5 y=201.4 = 613,550 y = 164,969 a. What is the equation of the regression line for pre- dicting clutch size based on snout-vent length? b. What is the value of the estimated standard devia- tion of b? c. Is there sufficient evidence to conclude that the slope of the population line is positive? d. Predict the clutch size for a salamander with a snout- vent length of 65 using a 95% interval. e. Predict the clutch size for a salamander with a snout- vent length of 105 using a 90% interval.