(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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
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thank you in advance!!!
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
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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