Question

In: Statistics and Probability

Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...

Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is dependent on the symbols. The result is the same because the formula is not dependent on the symbols. The result is different because the formula is not dependent on the symbols. The result is different because the formula is dependent on the symbols. (b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer. The result is the same because the formula is dependent on which values are the x values and which values are the y values. The result is the same because the formula is not dependent on which values are the x values and which values are the y values. The result is different because the formula is dependent on which values are the x values and which values are the y values. The result is different because the formula is not dependent on which values are the x values and which values are the y values. (c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) (i) x 8 2 9 y 1 3 5 (ii) x 1 3 5 y 8 2 9 r (i) (ii)

Solutions

Expert Solution

(a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer.

Answer : The result is the same because the formula is not dependent on the symbols.

(b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer.

Answer : The result is the same because the formula is not dependent on which values are the x values and which values are the y values.

(c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) (i) x 8 2 9 y 1 3 5 (ii) x 1 3 5 y 8 2 9 r (i) (ii)

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is dependent on the symbols. The result is different because the formula is not dependent on the symbols. The result is the same because the formula is not dependent on the...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is not dependent on the symbols. The result is the same because the formula is dependent on the symbols. The result is different because the formula is dependent on the symbols....
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r,...
Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is not dependent on the symbols. The result is different because the formula is not dependent on the symbols. The result is different because the formula is dependent on the symbols....
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r...
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t = Conclusion: Yes, the correlation coefficient ? is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient ? is not significantly different from 0 at the 0.01 level of significance.    (b) Suppose n = 10...
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.882. Is r...
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.882. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t = Conclusion: Yes, the correlation coefficient ρ is significantly different from 0 at the 0.01 level of significance. No, the correlation coefficient ρ is not significantly different from 0 at the 0.01 level of significance.      (b) Suppose n = 10 and...
In a two-tailed test for correlation at α = .05, a sample correlation coefficient r =...
In a two-tailed test for correlation at α = .05, a sample correlation coefficient r = 0.42 with n = 25 is significantly different than zero. True or False
1) (a) Suppose n = 6 and the sample correlation coefficient is r = 0.874. Is...
1) (a) Suppose n = 6 and the sample correlation coefficient is r = 0.874. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t = Conclusion: Yes, the correlation coefficient ρ is significantly different from 0 at the 0.01 level of significance.No, the correlation coefficient ρ is not significantly different from 0 at the 0.01 level of significance.     (b) Suppose n = 10 and...
11.4#10 (a) Suppose n = 6 and the sample correlation coefficient is r = 0.906. Is...
11.4#10 (a) Suppose n = 6 and the sample correlation coefficient is r = 0.906. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t = Conclusion: Yes, the correlation coefficient ? is significantly different from 0 at the 0.01 level of significance.No, the correlation coefficient ? is not significantly different from 0 at the 0.01 level of significance.     (b) Suppose n = 10 and...
Given a linear correlation coefficient r = 0.476, a sample size n = 20, and a...
Given a linear correlation coefficient r = 0.476, a sample size n = 20, and a significance level of α = 0.05, use Table A-6 to determine the critical value of r and state if the given r represents a significant linear correlation. Would your answer change if the significance level was α = 0.01?
The correlation coefficient r is a sample statistic. What does it tell us about the value...
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ρ (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ρ yet. However, there is a quick way to determine if the sample evidence based on ρ is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT