X
y
112
63
111
66
107
72
119
52
92
75
80
118
81
120
84
114
118
42
106
72
103
90
94
91
(a) Draw a scatter plot
(4mks]
(b) Interpret results in (a) above
[2mks]
(c) Find the correlation coefficient r
[6mks]
(d) Fit a regression model for the data
[6mks]
(e) Use the regression model above to predict the increase between days 70 and 100 of life if the birth
weight is 95 oz. would be.
[2mks]
QUESTIONFIVE- 20 MARKS
Mark recently opened a sports, health and fitness center in his town. In just the first week, he has
already gained 148 regular customers, 87 of which are male and 61of which are female. To get feedback
on the products and services that his store is offering, he decided to conduct a customer survey.
Taking gender into account, Mark asked his customers about their satisfaction level with his products
and services. The answer options were unsatisfied, satisfied, and unsure. There were 25 unsatisfied, 12
unsure and so satisfied male customers. There were s unsatisfied, 20 unsure and 36 satisfied females
customers. In total, there are 30 unsatisfied, 32 unsure and 86 satisfied customers.
(a) For this given scenario, create a contingency table showing the given data using cross tabulation.
The table should focus on two variables (gender and the satisfaction level).
(7mks]
(b) Is there any data that can be classified as categorical data?
[2 mks]
(c) What can you say about the total number of satisfied versus unsatisfied customers? Is Mark's busi-
ness doing well in its first week of operation?
[2 mks)
(d) What will happen if the number of unsatisfied customers were greater than the number of satisfied
customers? What should Mark do to lessen the dissatisfaction level?
[2mks]
(e) Draw a grouped bar graph to represent Mark's data (Use level of satisfaction inx- axis).
[?mks]
4