According to Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana (Journal of Herpetology [1999]: 100

According to €œReproductive 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.

Additional summary statistics are

a. What is the equation of the regression line for predicting clutch size based on snout-vent length?
b. What is the value of the estimated standard deviation 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 snoutvent length of 65 using a 95% interval.
e. Predict the clutch size for a salamander with a snoutvent length of 105 using a 90% interval.

Transcribed Image Text:

Snout-Vent Length 32 53 53 53 54 Clutch Size 45 215 160 170 190 Snout-Vent Length 57 57 58 58 59 Clutch Size 200 270 175 245 215 Snout-Vent Length 63 63 64 67 Clutch Size 170 240 245 280 The regression equation is Y--133+5.92x Predictor Constant -133.02 64.30 7 0.061 Coef StDev 5.919 1.127 R-Sq-69.7% 5.25 R-Sq(adj) 0.000 67.2% s-33.90 n= 14 56.5 ΣΧ2 = 45,958 y = 201.4 Σ5-164,969 )"-613,550