Problem 1: Your Company wishes to know if there is a correlation between the prices of stocks and interest rates. Table contains prices of a certain stock along with the interest rates for 9 consecutive months:-
|
Price R.O (per share )
|
Interest rate (%)
|
|
6
|
11
|
|
8
|
9
|
|
9
|
4
|
|
12
|
7
|
|
7
|
8
|
|
5
|
7
|
|
11
|
10
|
|
13
|
5
|
|
9
|
7
|
a) Calculate the Correlation Coefficient for these data.
b) Interpret your findings.
c) Explain coefficient of Determination (R2).
Problem 2: Executives of a car rental chain want to predict the success of a potential new chain. Company researcher begins to gather the information regarding the no. of rental and the average income of the family from present rental chains.
|
No. of Car Rentals per day
|
15
|
25
|
45
|
35
|
40
|
30
|
35
|
50
|
|
Average family Income ($1000)
|
35
|
20
|
60
|
55
|
70
|
50
|
60
|
60
|
a) Develop a regression model to predict the no. of rentals per day by the average family income.
b) Interpret your findings based on the regression model obtained
c) If Average family income ($1000) is 85 what will be No. of Car Rentals per day expect?
d) In brief explain the least square for fitting a Regression line.
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