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 givenx-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 forx=3

c. Predict the value of y forx=2.5

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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 thedata? 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 criticalvalue(s).

c) Calculate the test statistic.

d) What is yourconclusion?