PRESENTED BY-DEEPAK KHANDELWAL
CUSTOMER SATISFACTION
Customer satisfaction is a measure of how products and services supplied by a company meet customer expectation
It is meeting the customers expectations with a organization and/or department’s efforts.
It is seen as a key business performance indicator.
INTRODUCTION
The statistical tool with the help of which we are in a position to estimate (or predict) the unknown values of one variable from known values of another variable is called regression.
With the help of regression analysis, we are in a position to find out the average probable change in one variable given a certain amount of change in another.
REGRESSION ANALYSIS
Dependent variable:- The variable whose value is estimated using the algebraic equation is called dependent or response variable.
Independent variable:- The variable whose value is used to estimate this value is called independent or predictor variable.
The linear algebraic equation used for expressing dependent variable in terms of independent variable is called linear regression equation.
TYPES OF VARIABLE UNDER REGRESSION
Bivariate analysis
Multivariate analysis
ANALYSIS OF VARIANCE
BIVARIATE REGRESSION ANALYSIS
bxaY Y=predicted variableX=variable used to predicted ya=interceptb=slope
EXAMPLE
INCOME AND EXPENDITURE
In this case there are two variable income (Y) and expenditure (E) its says-
Y increases than E increases Y decreases than E decreases Y is independent E is dependent Hence direct relationship
PRICE AND DEMAND
In this case of law of demand says there are two variable price (P) and demand (D) according to this law –
P increases than D decreases , P decreases than D increases.
P is independent D is dependent Hence indirect relationship.
Regression analysis helps in developing a regression equation by which the value of dependent variable can be estimated given a value of an independent variable.
Regression analysis help to determine standard error of estimate to measure the variability with respect to the regression line.
By help of various variable to find out the customer satisfaction.
ADVANTAGES OF REGRESSION ANALYSIS
MULTIPLE REGRESSION ANALYSISMultiple regression analysis is a method for explanation of phenomena and prediction of future events.
Multiple regression involve a single dependent variable and two or more independent variable.
Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning.
PurchaseIntention to
purchasePreferencesatisfaction
AttitudeOpinionFeeling
Media exposure
Word of mouth
Demographiclifestyle
Past behaviorKnowledgeExperience
MODEL OF MULTIPLE REGRESSION ANALYSIS
MULTIPLE REGRESSION EQUATION
nmxbxbxbxbaY .........332211
Y= dependent variableX= independent variablea = intersectb1= slope of independent variablem= no of independent variable
Case study
Novartis Pharmaceutical company sales territory and number of sales person are given below.
To find regression equation and analysis it.
Case study
Territory[I]
Sales(y)
No. of salesperson
(x)
xy x2
1 102 7 714 49
2 125 5 625 25
3 150 9 1350 81
4 155 9 1395 81
5 160 9 1440 81
6 168 8 1344 64
7 180 10 1800 100
8 220 10 2200 100
9 210 12 2520 144
10 205 12 2460 144
Territory[I]
Sales(y)
No. of salesperson
(x)
xy x2
11 230 12 2760 144
12 255 15 3825 225
13 250 14 3500 196
14 260 15 3900 225
15 250 16 4320 256
16 275 16 4400 256
17 280 17 4760 289
18 240 18 4320 324
19 300 18 5400 324
20 310 19 5890 361
Sum 4325(Avg=216.25)
251(Avg=12.55)
58603 3469
Formula for b, the slope,in Bivariate regression-
2
21
2
11
11
n
ii
n
ii
n
i
n
ii
n
iii
xxn
yxyxn
b
Xi=An x variable valueYi=y value paired with each x valuen=the number of pairs
56.13
251346920
432525158603202
xbya
10.46
15.17025.216
55.1256.1325.216
xy 56.1310.46