a. Plot these variables in scatter-plot format. Based on this plot, what type of relationship appears to exist between the two variables?

b. Compute the correlation coefficient for these sample data. Indicate what the correlation coefficient measures.

c. Test to determine whether the population correlation coefficient is zero. Use the α = 0.05 level to conduct the test. Be sure to state the null and alternative hypotheses, and show the test statistic and decision rule clearly.

d. Refer to part c. Describe the type of hypothesis test error that could have been made.

Solution Preview

See the attached Excel file.

A positive linear relationship appears to exist between the two variables i.e. as the value of x increases, the value of y increases.

b. Compute the correlation coefficient for these sample data. Indicate what the correlation coefficient measures.
Correlation coefficient 0.847065337

c. Test to ...

Solution Summary

Solution explains step by step method for finding correlation coefficient between X and Y. Scatter Diagram is plotted and significance test is conducted for correlation between X and Y.

... step method for the calculation of correlation and regression analysis. ... predicted value of Y is given by Y ... The square of correlation between X and Y is ...

Correlation Coefficient & Linear Regression Analysis. ... Answer The correlation between X, Y is given by the formula. ... The details are given below. ...

... p) Compute the correlation coefficient r ... step by step method for the calculation of regression analysis. ... residuals, and normal deviates for the given portion of ...

... step by step method for the calculation of correlation and regression analysis. ... The correlation between X, Y is given by the formula. ... The details are given below ...

...Given that SSTotal = SST = 236, r2 = 0.7429. ... the calculation of test statistic for significance of correlation coefficient and regression analysis. ...

... The correlation between x and y would be positive, since ... Missing value of y can be determined by regression analysis. ... The estimates of a and b are given by nn. ...

... The solution gives the details of analysis of bivariate data using correlation and ... 3. Calculate the linear correlation coefficient for the given data. ...

...Given the above data for a regression analysis answer the ...given X. The predicted value of Y is given by Y ... The square of correlation between X and Y is known as ...

... nnn n∑ X iYi − ∑ X i ∑ Yi The correlation is given by the formula r = i =1 i ... The square of correlation between X and Y is known as the coefficient of ...