6. A lecturer gathered data about the amount of time (in hours) students engaged with revision tasks (x), and the percen

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6 A Lecturer Gathered Data About The Amount Of Time In Hours Students Engaged With Revision Tasks X And The Percen 1 (42.93 KiB) Viewed 38 times

6. A lecturer gathered data about the amount of time (in hours) students engaged with revision tasks (x), and the percentage scores of those students on the subsequent class test (y). Examination of the raw data suggested that she should use the simple linear regression model to relate these two variables. The values of the revision times ranged from 6.0 to 17.6, and the following summary statistics were found: n=17, Σκι = 222.1, Σ» = 1930, Sxx = 155.02, Syy = 783.88, Sxy = 238.11 Page 4 of 10 (a) Calculate a 95% confidence interval for the slope of the least squares model. Pro- vide an interpretation of the interval estimate in the context of the data. Hint: The Cl formula for the slope is B₁ ±la/211-2V MSE n-2 [6 Marks] (b) Does it appear that there is a statistically significant linear relationship between these two variables? Answer the question by employing the P-value approach. Hint: a test statistic for P₁ = P₁0 is given by B₁-B10 f= MSE SEX [3 Marks]