Question

Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table showing missed classes and final grade. a. Calculate the correlation coefficient for this sample. The correlation coefficient is I. (Type an integer or decimal rounded to three decimal places as needed.) b. Using a = 0.10, test to determine if the population correlation coefficient is less than zero. The hypotheses for this test are The test statistic is (Type an integer or decimal rounded to two decimal places as needed.) The p-value is (Type an integer or decimal rounded to three decimal places as needed.) Therefore, at the 0.10 level of significance, the null hypothesis. There sufficient evidence to conclude that the population correlation coefficient is zero c. What conclusions can be made based on these results? The conclusion is that there linear relationship between missed classes and final grade.

Answer 1

EX=24 En n -2.667. 319-4)=552=38 N=9 3 (8-4) (Y-ley) = -104 po £19-444) (Y-4a) is Ho. There is sufficient evidence to conclude that Solul After calculating tom table. sy = 765 = 85 s(4-My) =s5y = 674 -104 =-0.6498 Vissa)(ssy) 38X674 78-0-6498 a) The correlation coefficient -0.6498 b) a=0.10 Ho! /=0 statistis: ta -0.6498 x JF 11-(-0.649892 statistics --2•2618 using + distribution co robicien is less than zero 0 The is that there is leneal relationship blu missed classes and final grades Ha! Pro test rn-2 -2. t- =-2.2618 Test dfa 81 pualue! At t= -2.2618, left tail 1 pualue = 0.0267 the 0-10 level of significance Reject at Therefore population correlation conclusion