1. the scatter diagram for the data set below is shown.
(a) given that x overbar equals 4.5 commas subscript x baseline equals 3.082207 commay overbar equals 2.833 commas subscript y baseline equals 2.4080421 commaand r equals negative 0.9646886 commadetermine the least-squares regression line.
(b) graph the least-squares regression line on the scatter diagram.
-1
9
-3
8
x
y

a scatter diagram has a horizontal x-axis labeled from negative 1 to 9 in increments of 1 and a vertical y-axis labeled from negative 3 to 8 in increments of 1. the following 6 points are plotted, listed here from left to right: (0, 6.5); (2, 4.1); (4, 3.6); (6, 1.2); (7, 1.9); (8, negative 0.3). the points follow the general pattern of a line that falls from left to right.
x
0
2
4
6
7
8

y
6.5
4.1
3.6
1.2
1.9
negative 0.3
(a) modifyingabove y with caretequals
nothingxplus
nothing (round to four decimal places as needed.)

2. a student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. she found that a linear relation exists between the two variables. the least-squares regression line that describes this relation is modifyingabove y with caret equals negative 0.0525 x plus 2.9367.
(a) predict the grade-point average of a student who plays video games 8 hours per week.
the predicted grade-point average is
nothing