In a population of snakes, researchers caught and measured ten adult females. Their body lengths (X) and weights (Y) are shown in the table below. Length (in cm) 64 57 55 64 55 58 67 69 62 63 Weight (in g) 369 328 251 350 294 343 361 416 342 396 The hypothesis to be tested is Ho : p = 0 H1 : p + 0 at a = 0.01 level of significance where p is the population correlation coefficient. Given: • The estimated simple linear regression equation is Y = -159 + 8.214X. • The sample correlation coefficient is r = 0.8533. a) Calculate the value of the test statistic. Round your answer to 4 decimal places. b) Reject Ho if or if t > c) Give the correct decision and conclusion. Do not reject Họ and conclude that there is a linear association. Reject Ho and conclude that there is no linear association. Do not reject Họ and conclude that there is no linear association. Reject Ho and conclude that there is a linear association. d) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X). Round your answer to the nearest integer. e) Calculate the estimated weight (in g) of a snake that is 62 cm long. Round your answer to the nearest integer.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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In a population of snakes, researchers caught and measured ten adult females. Their body
lengths
(X) and weights
(Y) are shown in the table below.
Length (in cm)
64
57
55
64
55
58
67
69
62
63
Weight (in g)
369
328 251
350 294
343 361
416
342 396
The hypothesis to be tested is
Ho : p = 0
H1 : p + 0
at
a = 0.01 level of significance where
p is the population correlation coefficient.
Given:
• The estimated simple linear regression equation is Y = -159 + 8.214X.
• The sample correlation coefficient is r = 0.8533.
a)
Calculate the value of the test statistic.
Round your answer to 4 decimal places.
b)
Reject
Ho if
or if
t >
Transcribed Image Text:In a population of snakes, researchers caught and measured ten adult females. Their body lengths (X) and weights (Y) are shown in the table below. Length (in cm) 64 57 55 64 55 58 67 69 62 63 Weight (in g) 369 328 251 350 294 343 361 416 342 396 The hypothesis to be tested is Ho : p = 0 H1 : p + 0 at a = 0.01 level of significance where p is the population correlation coefficient. Given: • The estimated simple linear regression equation is Y = -159 + 8.214X. • The sample correlation coefficient is r = 0.8533. a) Calculate the value of the test statistic. Round your answer to 4 decimal places. b) Reject Ho if or if t >
c)
Give the correct decision and conclusion.
Do not reject Họ and conclude that there is a linear association.
Reject Ho and conclude that there is no linear association.
Do not reject Họ and conclude that there is no linear association.
Reject Ho and conclude that there is a linear association.
d)
Give the percentage of variation in the weight of the snakes
(Y) that is explained by the length of the snakes
(X).
Round your answer to the nearest integer.
e)
Calculate the estimated weight (in g) of a snake that is 62 cm long.
Round your answer to the nearest integer.
Transcribed Image Text:c) Give the correct decision and conclusion. Do not reject Họ and conclude that there is a linear association. Reject Ho and conclude that there is no linear association. Do not reject Họ and conclude that there is no linear association. Reject Ho and conclude that there is a linear association. d) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X). Round your answer to the nearest integer. e) Calculate the estimated weight (in g) of a snake that is 62 cm long. Round your answer to the nearest integer.
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