Question

In: Statistics and Probability

You are running correlation analysis on a data set with 11 items. You calculate the correlation...

You are running correlation analysis on a data set with 11 items. You calculate the correlation coefficient to be 0.845.

What is the critical value?

Solutions

Expert Solution

The formula for the test statististic is :-

where r = correlation coefficient

n = sample size

So,   , the value of the test statistic.

This , distribution.

let, the level of significance be . Then, if your test is a two sided test ( i.e, ) then, the critical value formula is :

otherwise ( i.e for   or   ) ,  the critical value formula is :   

  

Suppose, and the test is a two sided test. Then, critical value :

for one sided test , the critical value is :

  


Related Solutions

A) Running a regression on 11 pairs of data, you find the correlation coefficient to be...
A) Running a regression on 11 pairs of data, you find the correlation coefficient to be 0.321. At the .05 significance level, does this show significant correlation? Yes, significant correlation No B) At a .01 significance level with a sample size of 50, find the critical value for the correlation coefficient
The following is a set of data from a sample of n = 11 items: X...
The following is a set of data from a sample of n = 11 items: X 8 6 9 4 7 11 13 5 10 16 19 Y 22 15 25 10 19 31 37 13 27 45 54 a. Calculate the covariance. b. Calculate the coefficient of correlation. c. Describe the relation between the two variables X and Y.
Perform rank correlation analysis on the following data set: x y -3 -0 -2.65 -1.3 -2.15...
Perform rank correlation analysis on the following data set: x y -3 -0 -2.65 -1.3 -2.15 -1.5 -1.85 -1.5 -1.55 -1.7 -1.2 -1.3 -0.8 -0.5 -0.4 -0.9 -0.1 0 0.4 0.9 0.75 -0.3 1.1 1.4 1.6 1.4 1.95 0.3 2.4 1.3 2.7 -0.6 3 -0.9 3.55 0.4 4 0 4.5 -0.9 What is the rank correlation coefficient?  (Round to three decimal places.) What is the critical rho value at a 0.05 significance? Do we have correlation? Yes, the rank correlation coefficient...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. The ages​ (in years) of 6 children and the number of words in their vocabulary ​ Age, x 1 2 3 4 5 6 Vocabulary​ size, y 150 1100 1150 1800 2050 2700 A] The correlation coefficient r is
SPSS: Correlation Use SPSS or Excel to calculate the appropriate correlation coefficient for the following data...
SPSS: Correlation Use SPSS or Excel to calculate the appropriate correlation coefficient for the following data for “Hours of Exercise” and “Life Satisfaction.” (0 = Not at all satisfied). Provide an APA-style results section write – up. (b) Graph the relationship. HINT: Below you will find instructions for the APA-style write-up. Complete the write-up on a word document and upload the file for submission. Hours of Exercise.    2 0 5 6 1 2 4 4 3 4 life satisfaction...
1). Calculate the specific correlation coefficient for this data. What does rxy = ? You can...
1). Calculate the specific correlation coefficient for this data. What does rxy = ? You can use the table on the last page for your calculations (This is the tough one). 2). Does there appear to be a correlation between these two variables? If yes, in what direction (positive or negative)? 3). What are three possible explanations for this correlational relationship? (Note – These can include “third variable” explanations). Subject # X Y X2 Y2 XY 1 0 9 0...
1. As a result of running a simple regression on a data set, the following estimated...
1. As a result of running a simple regression on a data set, the following estimated regression equation was obtained:       = 9.7 + 13.4x Furthermore, it is known that SST = 622, and SSE = 150. 2. You are given the following information about y and x: y x Dependent Variable Independent Variable 11 6 15 5 10 2 14 2 Linear regression using least squares method yielded the following equation:   = 12.06 + 0.12x What is the predicted value...
What is the coefficient of determinaton and cofficient of correlation for this data set home prices...
What is the coefficient of determinaton and cofficient of correlation for this data set home prices vs square footage. 369,000 1,372 569,000 2909 439000 1837 544000 2573 399000 1642 499000 2216 599000 1400 487000 2508 410000 1800 379950 1674 565000 2056 659000 4171 859000 4308 610000 2303 450000 1698 480000 1896 319900 1970 385000 2320 449000 2846 199000 1440 369000 2295 350000 1512 449000 1900 525000 2080 770000 3168 789000 3236 675000 2784 765000 2802
Construct a scattergram for each data set. Then calculate r and r2 for each data set....
Construct a scattergram for each data set. Then calculate r and r2 for each data set. Interpret their values. Complete parts a through d. a. x −1 0 1 2 3 y −3 0 1 4 5 Calculate r. r=. 9853.​(Round to four decimal places as​ needed.) Calculate r2. r2=0.9709​(Round to four decimal places as​ needed.) Interpret r. Choose the correct answer below. A.There is not enough information to answer this question. B.There is a very strong negative linear relationship...
For the given set of stock market data you are required to perform statistical analysis of...
For the given set of stock market data you are required to perform statistical analysis of this data to find out the mean, the variance, the mode, the median, the third quartile and the first quartile for the full population using a Matlab program (or any other program). You are also asked to plot the histogram, time sequence diagram and boxplot of the whole data using Matlab (or any other program). 66.591 85.24 65.961 75.173 77.209 67.043 81.666 69.626 65.26...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT