Question

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) The test scores of 6 randomly picked students and the numbers of hours they prepared are 1) as follows: Hours 5 10 4 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 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 Decision: Reject or Fail to reject the null hypothesis (circle one) ii. Conclusion (write out in a complete sentence): i.

Answer 1

let, the given data as, regression en is ŷ = 1.06604x+67.3491 82 = 0.0503 8=0.2243 o, n=6 f g Testing the null f allennative hypothesis, Hoi fzo ts His fto b) The rest statistic, is t- 51-82 0,2243 x J 6-2 t-0.0503 = 0.44855 all 0.97453

test statistic t=0,460 p-values PC t > 0,460) = 0.669 p-value at X= 0.05 & df=4 p-value = 0.669 is c) At x=0.05 i) Decision or fail to reject the null hypothe sis. 1) Condujon. There is signiHcant lineas comelath beth no. of hours a student spent preparing for a fest f test scores,