Answer these questions

A teacher gathered data on hours studying and test scores. The data are shown in the following table below. Create a scatter plot, and conduct a test to determine if there is a statistically significant relationship between hours studying and test scores.

Hours Studying	Test score
0.62	2.02
1.5	4.62
0.34	2.6
0.97	1.59
3.54	4.67
0.69	2.52
1.53	2.28
0.32	1.68
1.94	2.5
1.25	4.04
1.42	2.63
3.07	3.53
3.99	3.9
1.73	2.75
1.29	2.95
0.62	2.02

a. State the null and alternative hypothesis

b. Identify the explanatory and response variable

c. From the scatter plot and the printout:(Include both)

i.Analyze the results,

ii.Tie the results back to the original hypothesis.

d. Identify the regression equation.

e.Find the best predicted test score for a student who studies 1.56 hours. (Include your calculations)

1.One-sample t test 10 pts. A professor wants to see how much students learn over the course of a semester. A pre-test is given before the class begins, and the same test is given at the end of the semester to see what students know at the end. The data are below:

Pre-test	Post-test
93	91
95	100
67	64
89	91
90	95
94	95
83	89
75	82
87	92
82	83
82	85
88	93
66	69
90	90
93	100
91	96

c. test for a statistically significant improvement at the ? = 0.05 level, you would perform a one-sample t-test on the differences Calculate this