Question

Show all your work as needed for full credit (20 points each). Use the given information to complete the test to determine if there is significant linear correlation between numbers of hours a student spent preparing for a test and test scores. Use a significance level of 0.05. 1) 4 1) The test scores of 6 randomly picked students and the numbers of hours they prepared are as follows: Hours 5 10 6 10 9 Score 64 86 69 86 59 87 The equation of the regression line is y = 1.06604x + 67.3491 and coefficient of determination is 0.0503 A a. State the null and alternative hypotheses. b. Calculate the test statistics and find the p-value. Round each value to 3 decimal places. c. At a = 0.05, what is your: i. Decision: Reject or Fail to reject the null hypothesis (circle one) ii. Conclusion (write out in a complete sentence):

Answer 1

My 9) the Coefficient of determination (R²) = 0.050] correlation coefficient (r). Joosos -0.024 and sign of r will be positive because slope hes positive Bign. The null and alle native hypotheni Ho! Rico Ha : Pto. it inca Jina Siroky t. 0.4597 test stat (t) = 0.460 P value = 0.669 b) 0.28456-4 C) 1) since p value > 0.05, fail to reject Ho. 2) There is not significant lineer correlation between number of hours a shident spent preparing for dest and test scomes.