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(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 No. Since the estimated slope is pasitive and since the P-value is small 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 small we 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 large we do not have convincing evidence that the slope of the population regression line is positive.

(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 No. Since the estimated slope is pasitive and since the P-value is small 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 small we 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 large we do not have convincing evidence that the slope of the population regression line is positive.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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According to "Reproductive Blology 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 articie. Partlal 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 regreeeion equation is Y = -133 + 5.92a Predictor Cosf Stdev Constant -133.02 64.30 2.07 0.0608 5.919 1.127 5.25 = - 33.B0 R-ag - 69.72 R-=gladji - E7.22 Additional summary statistics are given below. n = 14 = 56.5 y - 201.4
Transcribed Image Text:According to "Reproductive Blology 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 articie. Partlal 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 regreeeion equation is Y = -133 + 5.92a Predictor Cosf Stdev Constant -133.02 64.30 2.07 0.0608 5.919 1.127 5.25 = - 33.B0 R-ag - 69.72 R-=gladji - E7.22 Additional summary statistics are given below. n = 14 = 56.5 y - 201.4
=- 33.90 R-sq (adj) = 67.2 Additional summary statistics are given below. - 56.5 y Ex2 - 45,597 Ey? - 613,550 - 201.4 Exy - 164,590 n - 14 You can use the Distribution Calculators page in SALT Lo 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 No. Since the estimated slope is pasitive and since the P-value small 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 small we 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 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 50 using a 95% interval. (Round your answers to three decimal places. It 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. It it is not appropriate to find a prediction interval, enter NA in both blanks.)
Transcribed Image Text:=- 33.90 R-sq (adj) = 67.2 Additional summary statistics are given below. - 56.5 y Ex2 - 45,597 Ey? - 613,550 - 201.4 Exy - 164,590 n - 14 You can use the Distribution Calculators page in SALT Lo 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 No. Since the estimated slope is pasitive and since the P-value small 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 small we 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 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 50 using a 95% interval. (Round your answers to three decimal places. It 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. It it is not appropriate to find a prediction interval, enter NA in both blanks.)
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