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 - dlutch size. Round your intercept to two decimal places and your slope to three decimal places.) -133.0165 + 5.9194x (b) What is the value of the estimated standard deviation of b? (Round your answer to three decimal places.) 192.5495

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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-sq = 69.7
R-sq (adj) = 67.2%
Additional summary statistics are given below.
n - 14
= 56.5
= 201.4
Ex? = 45,597 Ey? = 613,550 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.)
ý = -133.0165 + 5.9194x
(b) What is the value of the estimated standard deviation of b? (Round your answer to three decimal places.)
192.5495
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-sq = 69.7 R-sq (adj) = 67.2% Additional summary statistics are given below. n - 14 = 56.5 = 201.4 Ex? = 45,597 Ey? = 613,550 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.) ý = -133.0165 + 5.9194x (b) What is the value of the estimated standard deviation of b? (Round your answer to three decimal places.) 192.5495
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