Question

the data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. What is the best predicted value for the exam score for a student who stuided 2 hours? Assume that the varibles x and y have a significant correlation.

Question 10 1 pts The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Hours, Scores, y 3 65 5 80 2 60 8 88 2 66 4 78 4 85 5 90 What is the best predicted value for the exam score for a student who studied 2 hours? Assume that the variables x and y have a significant correlation. 0 65 66 O 64 67

Answer 1

sr	x	y	(x-xbar)^2	(y-ybar)^2	(x-xbar)*(y-ybar)
1	3	65	1.44	151.29	14.76
2	5	80	0.64	7.29	2.16
3	2	60	4.84	299.29	38.06
4	8	88	14.44	114.49	40.66
5	2	66	4.84	127.69	24.86
6	4	78	0.04	0.49	-0.14
7	4	85	0.04	59.29	-1.54
8	5	90	0.64	161.29	10.16
9	6	90	3.24	161.29	22.86
10	3	71	1.44	39.69	7.56
sum	42	773	31.6	1122.1	159.4
mean	4.2	77.3	SXX	SYY	Sxy
	b=slope=sxy/sxx	5.044303797		262.3038
	a=intercept=ybar-(slope*xbar)	56.11392405		318.41772

regression equation is

y^ = a + b*x

y^ = 56.11 +5.04*x

put x = 2

y^ = 56.11 +5.04*2

y^ = 66

option B) 66 is correct