Question

10. A random sample of boarding school students was asked how many 8-ounce servings of soda they had consumed on a certain Sunday and how many hours of sleep they got that night. Their responses are displayed in the scatter plot below.

Soda	Sleep
0	6
0	8
1	6
1	7
2	7
3	5
3	8
4	6
5	5
6	3
6	6
7	4
7	6
8	3
10	2

a) Which variable has been used as the explanatory variable in making the scatterplot above? Could the two variables have been reversed? Explain. [3 pts]

The explanatory variable would be the # of sodas and no the two variables can not be reversed because the number of sodas won't be changed by the sleep the students get at night

b) Find the Least-Squares Regression Line on the calculator. Round using 2 decimals. [2 pts]

c) Identify and interpret the y-intercept of the LSRL in context of the problem. [3 pts]

d) Suppose that a student had 6 servings of soda that Sunday. What would you predict for the number of hours the student slept that night? Show your work. [2 pts]

e) Find the correlation coefficient and coefficient of determination using the calculator. [2 pts]

r = __________ r2 = __________

f) Interpret the meaning of in this setting. [2 pts]

g) Calculate the residual for the point (6, 3). [3 pts]

Residual = _______

Answer 1