1.) Find the equation of the regression line for the given data. Then use the regression equation to predict the value of y for each of the given? x-values. The number of hours 6 students spent for a test and their scores on that test are shown below.
Hours spent studying
1
2
3
4
5
6
Test Score, y
38
44
53
45
63
71
a. Find the regression equation.
b. Predict the value of y for? x=3
c. Predict the value of y for? x=2.5
2.) The number of hours 10 students spent studying for a test and their scores on that test are shown in the table. Is there enough evidence to conclude that there is a significant linear correlation between the? data? Complete parts a through d to answer the question.
Use a=0.1
Hours, x
0
1
2
4
4
5
5
6
7
8
Test score, y
40
40
53
49
64
69
76
80
84
94
?a) Set up the hypothesis for the test.
?b) Identify the critical? value(s).
?c) Calculate the test statistic.
d) What is your? conclusion?