The correlation coefficient r=0.45, is given for a sample of n=72 data points. Use the a = 0.05column in the figure to the right to determine whether or not we may conclude that a correlationdoes exist in the population. (Using the a = 0.05 column there is a probability of 0.05 that thevariables are not really correlated in the population and our results could be attributed to chance.Ignore this possibility when concluding whether or not there is a correlation in the population.)a =.05=.0519 0.45620 0.4444.0.9500.8786.0.81122 0.423270.7540.381320.7070.3490.32542 0.3040.2880.666370.6320.602Choose the correct answer below.101112470.576520.273O A. Correlation does not exist130.5531415161718620.250OB. Correlation does exist0.532720.2320.514820.2170.497920.2050.482102 0.1950.468MacBoolesc딤 F3F1F2F4

From the given data determine whether conclude there is a correlation in the population or not.

Answered: The correlation coefficient r=0.45, is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Compute the Pearson correlation for the following data.X: 2, 3, 6, 4, 5 Y :3, 1, 5, 4, 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. Use a two-tailed test with a = 0.1. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
2021
Which of the following conclusions might be a conclusion that a researcher would make if he/she had just rejected the null hypothesis? there is a correlation in the population all brands are equally preferred in the population The treated population scores the same as the general population There is no difference between the population with the drug and the population without the drug
2. If the correlation coefficient is 0.930, what is the unexplained variation? A 86.5% B. 93% C. 7% D. 13.5%
4 A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 4 8 3 7 0 6 5 6 GPA 2.7 2.3 3.4 2.4 3.5 2.9 2.7 2.8 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? ρ r μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically…
A professor at the University of New Hampshire was interested in evaluating the effect of the unemployment rate on the incarceration rate. Using data from 50 states and the District of Columbia (n = 51), the researcher computed the Pearson’s correlation coefficient between the two variables. The results are presented below. Correlations Incarceration Unemployment Incarceration Pearson Correlation 1 .209 Sig. (2-tailed) .142 N 51 51 Unemployment Pearson Correlation .209 1 Sig. (2-tailed) .142 N 51 51 Using an alpha level of 0.05 and the four steps of the hypothesis testing process, test the research hypotheses that unemployment increases incarceration. Step 3 Step 4 Based on your decision to step 4 what type of error might you be making?
1. for a two tailed with a=.05, use table b.6 to determine how large a pearson correlation is necessary to be statistically significant for each of the following samples? a. A sample of n=6 b. A sample of n=12 c. A sample of n=24
Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².
If you read that the value of a Pearson r is 0.45, p = 0.09, should you have confidence that this correlation represents the actual situation in the population? a. Yes, because both r value was greater than 0.05. b. No, because the probability of error was greater than 0.05.
A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAS. The results of the survey are shown below. Lovers GPA 6 3 4 4 7 6 2.2 2.2 2.3 2 2 3.4 3.8 1.9 2.3 a. Find the correlation coefficient: r= Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: Hj: ?v + 0 = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. O There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in…
For a sample of n = 25 individuals, how large a Pearson correlation between two variables, X and Y, is necessary to be statistically significant for a two-tailed test with α = .05? A)0.405 B)0.382 C)0.389 D)0.397
The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y? (c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.

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