Question two A researcher is proposing that exercise makes a person more energized as a result they require less sleep. He carries out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results are shown on page 2 for the  8 participants. Average hours of sleep needed/night 4 5.2 2 3.4 8 10 1.5 6 Hours of exercise/week 8.6 8.1 9 8.5 7.4 6.8 9.4 7.7   Sketch a scatter plot for the data, is the relationship linear? What is the correlation between the two variables? Calculate the coefficient of determination and explain.

Question

 

Question two

A researcher is proposing that exercise makes a person more energized as a result they require less sleep. He carries out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results are shown on page 2 for the  8 participants.

Average hours of sleep needed/night

4

5.2

2

3.4

8

10

1.5

6

Hours of

exercise/week

8.6

8.1

9

8.5

7.4

6.8

9.4

7.7

 

  1. Sketch a scatter plot for the data, is the relationship linear?
  2. What is the correlation between the two variables?
  3. Calculate the coefficient of determination and explain.

. Explain the following steps involved in a chi-square test of independence:

  1. i) Identify the claim then state the null and alternative hypotheses (Ho and Ha) for this test.

ii)Select the level of significance.

iii) Calculate the test statistic.

iv) Formulate the Decision Rule and Make a Decision.

v) Interpret your decision in terms of the claim.

 

                                                                          Question three

  1. Using the same data from question two, calculate and interpret the regression line for the data.

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