6. (-/7 Points) DETAILS PODSTAT6 13.4.043.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER According to "Reproductive Biolo

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: 6 7 Points Details Podstat6 13 4 043 S My Notes Ask Your Teacher Practice Another According To Reproductive Biolo 1 (53.72 KiB) Viewed 20 times

6. (-/7 Points) DETAILS PODSTAT6 13.4.043.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER According to "Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana," 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. Snout-Vent Length - Clutch Size 32 45 53 215 53 160 53 1/0 54 190 57 200 57 270 58 175 .51 245 59 215 63 170 63 240 64 245 67 2R0 The regression equation is * - -133 5.92x Predictos coe Constant -133.02 x 5.919 5- 73.90 B-91-69.79 Stdev . 64.20 2.07 1.127 5.25 -Stadl - 67.2 0.0608 0.0002 Additional summary statistics are given below. = 14 x = 56.5 Ex2 = 45,597 Dy2 = 613,550 = 201.1 Exy = 164,690 You can use the Distribution Calculators page in SALT to find critical values and/or p values to answer parts of this question. (a) What is the equation of the regression line for predicting dutch size based on snout-vent length? (Iet x - snout vent length and v- clutch size. Round your intercept to two decimal places and your slope to three

x 0.0002 5.919 R-sq = 69.7% 1.127 5.25 R-sq(adj) = 67.2% S = 33.90 Additional summary statistics are given below. n = 14 x Ex2 = 45,597 Σy2 = 56.5 613,550 y = 201.4 Exy = 164,690 = You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. (a) What is the equation of the regression line for predicting clutch size based on snout-vent length? (Let x = snout vent length and y = clutch size. Round your intercept to two decimal places and your slope to three decimal places.) (b) What is the value of the estimated standard deviation of b? (Round your answer to three decimal places.) (c) Is there sufficient evidence to conclude that the slope of the population line is positive? No. Since the estimated slope is positive and since the P-value is small we do not have convincing evidence that the slope of the population regression line is positive. Yes. Since the estimated slope is positive and since the P-value is large we have convincing evidence that the slope of the population regression line is positive. Yes. Since the estimated slope is positive and since the P-value is small we have convincing evidence that the slope of the population regression line is positive. No. Since the estimated slope is positive and since the P-value is large we do not have convincing evidence that the slope of the population regression line is positive. (d) Predict the clutch size for a salamander with a snout-vent length of 55 using a 95% interval. (Round your answers to three decimal places. If it is not appropriate to find a prediction interval, enter NA in both blanks.) (e) Predict the clutch size for a salamander with a snout-vent length of 115 using a 90% interval. (Round your answers to three decimal places. Round your answers to three decimal places. If it is not appropriate to find a prediction interval, enter NA in both blanks.)