You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.2 and Sp₁ = 1.7. a. What is the value of tSTAT? b. At the a=0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B₁. a. What are the hypotheses to test? A. Ho: B₁ =0 H, P, 0. OC. H₂: P₁ #0 H₁: B₁ = 0 ¹STAT= (Round to two decimal places as needed.) OB. HP, 20 H₁₁<0 OD. HP, so H₁₁>O

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 60 and SSE = 40. a) What is the value of F STAT ? b) At the a = 0.05 level of significance, what is the critical value? c) Based on your answers to (a) and (b), what statistical decision should you make? d) Compute the correlation coefficient by first computing r 2 and assuming that b 1 is negative. e) At the 0.05 level of significance, is there a significant correlation between X and Y?

Test the null hypothesis that the slope is zero versus the two-sided alternative in the following setting using the alpha = 0.05 significance level: n = 30, yhat = 30.8 + 2.1x, and SEb1 = 1.05.

What are the independent and dependent variables for the following examples? What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Sally wants to examine whether there is a difference in muscular strength between participants who engaged in an 8-week resistance training program and participants who engaged in an 8-week endurance training program. The participants only took part in one of the 8-week programs, not both. What test would she use to determine whether the differences in muscular strength are significant? Why?

You are testing the null hypothesis that there is no linear relationship between two​ variables, X and Y. From your sample of n=18, you determine that b1=5.2 and Sb1=1.2. a. What is the value of tSTAT​? b. At the α=0.05 level of​ significance, what are the critical​ values? c. Based on your answers to​ (a) and​ (b), what statistical decision should you​ make? d. Construct a​ 95% confidence interval estimate of the population​ slope, β1.

on the basis of the value of linear correlation coefficient, would you conclude, at the /r/>0.9 level, that the data can be reasonably modeled linear equation?

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given n = 11 at a significance level of 0.05. ±± 0.575 ±± 0.514 ±± 0.555 ±± 0.602

A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. H0:β1=0Ha:β1≠0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…

If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? A. a single-sample t test B. a single-sample z test C. a between-subjects ANOVA D. a chi-square goodness-of-fit test

Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 a) Compute the regression equation for client contacts and sales. Interpret the slope and intercept parameters.