Assuming everything else stays the same, does the value of the Pearson correlation coefficient change if...
Assuming everything else stays the same, does the value of the Pearson correlation coefficient change if the mean for the X values is now 600 and the mean for the Y values is 400? Why or why not?
Homework Answers
The value of Pearson co-efficient is independent of scale and base. Thus even if we change the value of means of the two variables, the Pearson co-efficient will remain the same.
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Assuming everything else stays the same, does the value of the
Pearson correlation coefficient change if...
Which of the following properties of the correlation coefficient are False choose all that apply Question...
Which of the following properties of the correlation coefficient are False choose all that apply Question 8 options: a) -1 < r < 1 b) r is not sensitive to outliers c) If you change the scale, then r stays the same d) If you add 7 to each x-value and subtract 9 from each y-value, the r stays the same e) r is called the correlation coefficient f) If you exchange x values and the y values, then r...
5. Calculating the Pearson correlation and the coefficient of determination
5. Calculating the Pearson correlation and the coefficient of determinationSuppose you are interested in seeing whether the total number of days students are absent from high school correlates with their grades. You obtain school records that list the total absences and average grades (on a percentage scale) for 80 graduating seniors.You decide to use the computational formula to calculate the Pearson correlation between the total number of absences and average grades. To do so, you call the total number of...
2a. Based on the above sample, is the population Pearson correlation coefficient significantly different from 0...
2a. Based on the above sample, is the population Pearson
correlation coefficient significantly different from 0 at the 0.01
level?
2b. Is the population Pearson correlation coefficient
significantly smaller than 0 at the 0.01 level?
3.5 la. The table gives the weight (x) (in 1000 lbs.) and highway fuel efficiency () (in miles/gallon) for a sample of 13 cars. Use the table to assist your calculations Vehicle X Y X-Mx Y-My (X-Mx)(Y-My) (X-Mx) (Y-My)? Chevrolet Camaro 30 Dodge Neon 2.6...
Question number 4 If everything else stays the same, the margin of error can be reduced...
Question number 4 If everything else stays the same, the margin of error can be reduced by (select all that are true) increasing confidence level decreasing sample size decreasing confidence level increasing sample size I don't know Question number 5 In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union. (0.3118,0.3882) O 210 (34.9618, 35.0382) (0.29,0.41) (0.0396, 0.0771) I...
Determine the Pearson product-moment correlation coefficient for the following data. x 1 10 9 6 4...
Determine the Pearson product-moment correlation coefficient for the following data. x 1 10 9 6 4 3 2 y 9 4 4 5 7 7 10 (Do not round the intermediate values. Round your answer to 3 decimal places.) Correlation coefficient, r
Question 24 2 pts Arnold calculates a Pearson correlation and obtains a value of -1.07. By...
Question 24 2 pts Arnold calculates a Pearson correlation and obtains a value of -1.07. By definition, this implies he has made a mistake in his calculations there is a negative and strong relationship between the two variables the distribution of scores for the variables are negatively skewed he will not reject the null hypothesis Question 25 2 pts For which of these research situations would you most likely calculate a Pearson correlation? X variable = political affiliation; Y variable...
Suppose that you run a correlation and find the correlation coefficient is 0.206 and the regression...
Suppose that you run a correlation and find the correlation coefficient is 0.206 and the regression equation is ˆ y = − 33.96 + 7.6 x . The mean for the x data values was 6.6, and the mean for the y data values was 16. A T Test for the slope of the regression line is performed, and the p-value is greater than the level of significance of 0.05. Use the appropriate method to predict the y value when...
4. Scatter plots and calculating correlation
4. Scatter plots and calculating correlation Suppose you are given the following five pairs of scores: XY61926384110Create a scatter plot of these scores in the following diagram. For each of the five (X,Y) pairs, click on the plotting symbol (the black X) in the upper right corner of the tool, and drag it to the appropriate location on the grid. Based on your scatter plot, you would expect the correlation to be _______ .The mean X score is Mx = _______ , and...
Compute the Pearson Correlation Coefficient, r, for the following data X Y 1 7 3 4...
Compute the Pearson Correlation Coefficient, r, for the following data X Y 1 7 3 4 5 3 4 2 2 4 Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round. If it is a negative correlation, please do not forget to include the negative sign. 1a) The Pearson Correlation, r is: 1b) The correlation is Group of answer choices a) Medium...
a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation...
a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following for part b to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show...
5. Calculating the Pearson correlation and the coefficient of determinationSuppose you are interested in seeing whether the total number of days students are absent from high school correlates with their grades. You obtain school records that list the total absences and average grades (on a percentage scale) for 80 graduating seniors.You decide to use the computational formula to calculate the Pearson correlation between the total number of absences and average grades. To do so, you call the total number of...
2a. Based on the above sample, is the population Pearson
correlation coefficient significantly different from 0 at the 0.01
level?
2b. Is the population Pearson correlation coefficient
significantly smaller than 0 at the 0.01 level?
3.5 la. The table gives the weight (x) (in 1000 lbs.) and highway fuel efficiency () (in miles/gallon) for a sample of 13 cars. Use the table to assist your calculations Vehicle X Y X-Mx Y-My (X-Mx)(Y-My) (X-Mx) (Y-My)? Chevrolet Camaro 30 Dodge Neon 2.6...
Question number 4 If everything else stays the same, the margin of error can be reduced by (select all that are true) increasing confidence level decreasing sample size decreasing confidence level increasing sample size I don't know Question number 5 In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union. (0.3118,0.3882) O 210 (34.9618, 35.0382) (0.29,0.41) (0.0396, 0.0771) I...
Question 24 2 pts Arnold calculates a Pearson correlation and obtains a value of -1.07. By definition, this implies he has made a mistake in his calculations there is a negative and strong relationship between the two variables the distribution of scores for the variables are negatively skewed he will not reject the null hypothesis Question 25 2 pts For which of these research situations would you most likely calculate a Pearson correlation? X variable = political affiliation; Y variable...
a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following for part b to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show...
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