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Question 13 of 20 1.0 Points Suppose the sample correlation of two variables 2 and y...
1-2. The sample of n = 30 people is selected and the sample correlation between two...
1-2. The sample of n = 30 people is selected and the sample correlation between two variables is r = 0.468. 1. What is the test statistic value for testing whether the true population correlation coefficient is equal to zero? (calculate t-test statistic) 2. What is the t- critical value for alpha= 0.01. and what you can conclude about population correlation ( is there significant correlation between two variables).
Consider the following sample data: x 14 16 17 18 20 y 20 14 17 12...
Consider the following sample data: x 14 16 17 18 20 y 20 14 17 12 13 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Consider the following sample data: 17 13 24 20 27 23 20 20 31 25 a....
Consider the following sample data: 17 13 24 20 27 23 20 20 31 25 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places) b. Calculate the correlation coefficient.(Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Correlation coefficient
Use the sample correlation r=0.42 and the sample size n=25 to see if there is evidence...
Use the sample correlation r=0.42 and the sample size n=25 to see if there is evidence that the population correlation between the two variables is different than zero. (a) What are the null and alternative hypotheses? (b) What is the test statistic? Round your answer to three decimal places (c) What are the degrees of freedom? Enter the exact answer. (d) What is the p-value. Round your answer to three decimal places. (e) What is the conclusion, using a 5%...
A hypothesis test is conducted to test whether or not the population correlation is zero. If...
A hypothesis test is conducted to test whether or not the population correlation is zero. If the sample consists of 38 observations and the sample correlation coefficient is -0.86, what is the computed value of the test statistic? Round to two decimal places. Question 16 options: 1) -1.96 2) -10.12 3) 10.12 4) 2.00
Below are the values for two variables x and y obtained from a sample of size...
Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data. 18 25 10 30 46 15 18 15 The x and y data are sample data from the population of X and Y to compute b1 as an estimate of the population slope parameter β1. The sample statistic b1 is the estimator of the population parameter β1. The estimated measure of dispersion...
Consider the following sample data: x 11 7 5 5 4 y 3 10 13 6...
Consider the following sample data: x 11 7 5 5 4 y 3 10 13 6 11 Click here for the Excel Data File a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Covariance b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Correlation coefficient
A random sample of size 12 is taken from a population, and for each individual in...
A random sample of size 12 is taken from a population, and for each individual in the sample measurements on two variables (X and Y) are obtained. The sample correlation of X and Y is calculated to be r2=0.549081. Carry out a hypothesis test on H0:ρ=0against HA:ρ≠0. If the null hypothesis is true, then the test statistic will follow a t distribution with what degrees of freedom? Number Calculate the value of the test statistic t using the appropriate formula....
Consider the following competing hypotheses: H0: ρxy ≥ 0 HA: ρxy < 0 The sample consists of 30 observations and the sample correlation coefficient is –0.46. [You may find it useful to reference t...
Consider the following competing hypotheses:
H0: ρxy ≥ 0
HA: ρxy < 0
The sample consists of 30 observations and the sample correlation
coefficient is –0.46. [You may find it useful to reference
the t table.]
a-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
p-value
0.10
0.05
p-value < 0.10
0.025
p-value < 0.05
0.01
p-value <...
(a) Suppose n = 6 and the sample correlation coefficient is r=0.894. IS significant at the...
(a) Suppose n = 6 and the sample correlation coefficient is r=0.894. IS significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) critical Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r =...
Consider the following sample data: 17 13 24 20 27 23 20 20 31 25 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places) b. Calculate the correlation coefficient.(Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.) Correlation coefficient
Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data. 18 25 10 30 46 15 18 15 The x and y data are sample data from the population of X and Y to compute b1 as an estimate of the population slope parameter β1. The sample statistic b1 is the estimator of the population parameter β1. The estimated measure of dispersion...
Consider the following competing hypotheses:
H0: ρxy ≥ 0
HA: ρxy < 0
The sample consists of 30 observations and the sample correlation
coefficient is –0.46. [You may find it useful to reference
the t table.]
a-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
p-value
0.10
0.05
p-value < 0.10
0.025
p-value < 0.05
0.01
p-value <...
(a) Suppose n = 6 and the sample correlation coefficient is r=0.894. IS significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) critical Conclusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r =...
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