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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? O 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. O 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. O 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. O 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.

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? O 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. O 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. O 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. O 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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According to "Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana,"t 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 53 170 54 190 57 200 57 270 58 175 58 245 59 215 63 170 63 240 64 245 67 280 The regression equation is Y = -133 + 5.92x Predictor Coef Stdev T P Constant -133.02 64.30 2.07 0.0608 5.919 1.127 5.25 0.0002 3 - 33.90 R-sg = 69.7% R-sq (adj) = 67.2% Additional summary statistics are given below. y = 201.4 Ex2 = = 164,690 n = 14 45,597 Iy? = 613,550 Exy = 56.5
Transcribed Image Text:According to "Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana,"t 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 53 170 54 190 57 200 57 270 58 175 58 245 59 215 63 170 63 240 64 245 67 280 The regression equation is Y = -133 + 5.92x Predictor Coef Stdev T P Constant -133.02 64.30 2.07 0.0608 5.919 1.127 5.25 0.0002 3 - 33.90 R-sg = 69.7% R-sq (adj) = 67.2% Additional summary statistics are given below. y = 201.4 Ex2 = = 164,690 n = 14 45,597 Iy? = 613,550 Exy = 56.5
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.) ý = (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? O 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. O 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. O 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. O 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. (d) Predict the clutch size for a salamander with a snout-vent length of 60 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 120 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.)
Transcribed Image Text: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.) ý = (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? O 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. O 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. O 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. O 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. (d) Predict the clutch size for a salamander with a snout-vent length of 60 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 120 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.)
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(d) Predict the clutch size for a salamander with a snout-vent length of 60 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 120 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.)
Transcribed Image Text:(d) Predict the clutch size for a salamander with a snout-vent length of 60 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 120 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.)
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