The data in personalities is bivariate normally distributed Carry out a formal t-test for the association between extroversion and neuroticism in personalities H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test?   Carry out a formal t-test for the association between extroversion and neuroticism in personalities. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05

Income and housing revisited In Chapter 6, Exercise 32, we learned that the Office of Federal Housing Enter-prise Oversight (OFHEO) collects data on various as-pects of housing costs around the United States. Here’s a scatterplot (by state) of the Housing Cost Index (HCI)versus the Median Family Income (MFI) for the 50 states.The correlation is r = 0.65. The mean HCI is 338.2,with a standard deviation of 116.55. The mean MFI is$46,234, with a standard deviation of $7072.47.a) Is a regression analysis appropriate? Explain.b) What is the equation that predicts Housing Cost Indexfrom median family income?c) For a state with MFI = +44,993, what would be thepredicted HCI?d) Washington, DC, has an MFI of $44,993 and an HCIof 548.02. How far off is the prediction in c) from theactual HCI?e) If we standardized both variables, what would be theregression equation that predicts standardized HCIfrom standardized MFI?f) If we standardized both variables, what would be theregression equation that…

Two last part. Hi Team I need help with the last part of this exercise and a short explanation of why is the correct option please, thanks.

USE STATCRUNCH TO SHOW WORK OR EXPLAIN HOW TO PUT ON STATCRUNCH TO SOLVE

Second part to this question is also what is test statistic t=

Using the linear correlation coefficient given above, calculate and give the value of the coefficient of determination. Explain in a sentence what this means in the context of this example, treating gpa as a predictor.

Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Use a significance level of x = 0.05 to answer the following questions. Correlation Results Correlation coeff, r: Critical r: P-value (two tailed): 0.000 Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There are two critical values at r= ± OB. There is one critical value at r= Is there sufficient evidence to support the claim that there is a linear correlation between the weigh of bears and their chest sizes? Choose the correct below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) exceeds the critical value. A. No, because the absolute value of r= OB. Yes, because the absolute value of r= OC. No, because r= exceeds the positive critical value. falls…

Please help I need in 30 min correlation coefficient isn't 0.495 I need correlation coefficient , critical values & conclusion

True or False: A correlation value of O indicates that the response variable is independent of the explanatory variable. O True O False