
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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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