Question

He! Use the given data set to complete parts (a) through (c) below. (Use a = 0.05) 10 8 13 9.13 8 14 873 8.77 9.26 14 8.11 6 6.12 4 3.11 12 9.13 5 7.27 Click here to view a table of critical values for the correlation coefficient a. Construct a scatterplot Choose the correct graph below ОА. OB OC. OD Ay 10- Ay 10 A) AY 10 10 8 6 8 6 *** 8 6 4 0 . 4 2 0 2- 0 2 ******** 24 12 16 8 12 16 12 16 Click to select your answer and then click Check Answer
find critical values too please

Answer 1

Y X*Y x2 y2 X 10 9.13 91.3 100 83.3569 8 8.14 65.12 64 66.2596 13 8.73 113.49 169 76.2129 9 8.77 78.93 81 76.9129 11 9.26 101.86 121 85.7476 14 8.11 113.54 196 65.7721 6 6.12 36.72 36 37.4544 4 3.11 12.44 16 9.6721 12 9.13 109.56 144 83.3569 7 7.27 50.89 49 52.8529 5 4.74 23.7 25 22.4676 Sum = 99 82.51 797.55 1001 660.0659 The correlation coefficient r is computed using the following expression: T = SSXY VSSxx SSyy

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The following needs to be tested:

$H_0:\rho=0$

$H_A:\rho\neq 0$

where p corresponds to the population correlation. The sample size is n=11, so then the number of degrees of freedom is df = n - 2 = 11 – 2 = 9 The corresponding critical correlation value re for a significance level of a = 0.05, for a two-tailed test is: rc = 0.602 Observe that in this case, the null hypothesis Ho:p=0 is rejected if |r| > rc = 0.602. Based on the sample correlation provided, we have that r = 0.817 > rc = 0.602, from which is concluded that the null hypothesis is rejected.

Correct option : D.

10 9 8 7 6 5 4 3 2 1 0 0 2 4 6 8 10 14 16 N

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