a) calculate the test statistic and how H0 is rejected b) Give the percentage of variation in the weight of the s

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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a) calculate the test statistic and how H0 is rejected

b) Give the percentage of variation in the weight of the snakes (Y) that is explained by the length of the snakes (X).

c) Calculate the estimated weight (in g) of a snake that is 59cm long 

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)
59
63
67
51
53
56
54
63
69
64
Weight (in g)
449 453 548 323 292 393 387 476 549 505
The hypothesis to be tested is
Ho : p = 0
Hị : p# 0
at a = 0.01 level of significance where pis the population correlation coefficient.
Given:
The estimated simple linear regression equation is Y =-379 + 13.628.X.
The sample correlation coefficient is r=
0.9603.
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) 59 63 67 51 53 56 54 63 69 64 Weight (in g) 449 453 548 323 292 393 387 476 549 505 The hypothesis to be tested is Ho : p = 0 Hị : p# 0 at a = 0.01 level of significance where pis the population correlation coefficient. Given: The estimated simple linear regression equation is Y =-379 + 13.628.X. The sample correlation coefficient is r= 0.9603.
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