Test for significance of correlation and slope coefficient


Do reading and TV viewing compete for leisure time? To find out, the communication specialist interviewed the sample of 10 children about the number of books they had read throughout the last year and number of hours they had spent watching TV on the daily basis. The researcher was nice enough to provide you the following information:

  • Employ alpha level. 05 to compute and interpret Pearson's r and to test whether it is significant (using all your steps for hypothesis test).
  • Employ alpha level .05 to compute and interpret the stable and the slope and to test whether it is significant (go through all of your steps of hypothesis testing). The standard error of b is .015.

books

tv hours

(x-xbar)

(y-ybar)

(x-xbar)2

y-ybar)2

(x-xbar)2(y-ybar)2

(x-xbar)(y-ybar)

0

3

-2.6

0.5

6.76

0.25

1.69

-1.3

7

1

4.4

-1.5

19.36

2.25

43.56

-6.6

2

2

-0.6

-0.5

0.36

0.25

0.09

0.3

1

2

-1.6

-0.5

2.56

0.25

0.64

0.8

5

0

2.4

-2.5

5.76

6.25

36

-6

4

1

1.4

-1.5

1.96

2.25

4.41

-2.1

3

3

0.4

0.5

0.16

0.25

0.04

0.2

3

2

0.4

-0.5

0.16

0.25

0.04

-0.2

0

7

-2.6

4.5

6.76

20.25

136.89

-11.7

1

4

-1.6

1.5

2.56

2.25

5.76

-2.4

26

25

 

 

46.4

34.5

229.12

-29

Mean = 2.6

2.5

 

 

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Basic Statistics: Test for significance of correlation and slope coefficient
Reference No:- TGS020835

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