Question

An instructor asked a random sample of eight students to record their study times at the beginning of a course. She then made a table for total hours studied​ (x) over 2 weeks and test score​ (y) at the end of the 2 weeks. The table is given below. Complete parts​ (a) through​ (f).

x	9	15	14	18	10	17	12	24
y	92	78	79	76	88	82	87	76

a. Find the regression equation for the data points.

ModifyingAbove y with caretyequals=nothingplus+left parenthesis nothing right parenthesisx

​(Round to two decimal places as​ needed.)

Answer 1

Solution :

Given that x as 9 , 15 , 14 , 18 , 10 , 17 , 12 , 24

y as 92 , 78 , 79 , 76 , 88 , 82 , 87 , 76

=> The equation of the regression line is y^ = 97.93 + (-1.05)*x (rounded)