Reference no: EM132982801

Question 1) Various modes of transport used by 980 students in a given school are given below:

Mode of transport	Frequency
School Bus	350
Private Bus	245
Bicycle	210
On Foot	175

Draw a pie-chart re-presenting this table.

Question 2) Construct a histogram for the following table which shows the number and respective heights of Sandalwood trees planted by a farmer.

Height (feet)	Frequency
0-2	3
3-5	8
6-8	10
9-11	5
12-14	1

Question 3) The following is the frequency distribution of 30 automoblies tested for fuel efficiency.

Mile/Gallon	Frequency
8-12	3
13-17	5
18-22	15
23-27	5
28-32	2

Determine the following:
a) The median
b) The mean
c) The standard deviation
d) The Inter-Quartile Range.

Question 4) An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department took a sample of eight cars of this model and collected the following information on the age (in years) and prices (in thousands of dollars) of these cars.

Age	8	3	6	9	2	5	6	3
Price($'000)	18	94	50	21	145	42	36	99

a) Construct a scatter diagram for these data using either a graph paper or any graphing software such as Excel etc. Does the scatter diagram exhibit a linear relationship between age and prices of cars?
b) Determine the equation of the regression line.
c) Predict the Price of a 4 year old car of the same model.
d) Determine the Coefficient of Determination and state what it means.