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 Minitaboutput is also included.Snout-Vent LengthClutch Size324553215531605317054190572005727058175582455921563170632406424567280The regression equation isY = -133 + 5.92xPredictorCoefStdevTPConstant-133.0264.302.070.06085.9191.1275.250.00023 - 33.90R-sg = 69.7%R-sq (adj) = 67.2%Additional summary statistics are given below.y= 201.4Ex2 = = 164,690n = 1445,597 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.)

Question

According to &#34;Reproductive Biology of the Aquatic Salamander Amphiuma tridactylum in Louisiana,&#34;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 Minitaboutput is also included.Snout-Vent LengthClutch Size324553215531605317054190572005727058175582455921563170632406424567280The regression equation isY = -133 + 5.92xPredictorCoefStdevTPConstant-133.0264.302.070.06085.9191.1275.250.00023 - 33.90R-sg = 69.7%R-sq (adj) = 67.2%Additional summary statistics are given below.y= 201.4Ex2 = = 164,690n = 1445,597 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.)

Accepted Answer

Note - As per Bartle by guidelines we are supposed to answer only 3 sub- parts.
 
Given that;
Snout…