Question

In: Statistics and Probability

Looking to find what area needs to be focused on that is statistically significant Dine In...

Looking to find what area needs to be focused on that is statistically significant

Dine In (1)/Take Out (2) Satisfaction with Service Satisfaction with Food Driving Distance to Restaurant Total Bill Overall Satisfaction
1 4 4 5 10 4
1 2 3 5 15 3
1 3 3 10 10 3
1 5 5 12 15 5
2 3 4 10 25 3
2 2 4 15 25 3
2 3 4 10 26 3
1 4 3 16 27 3
2 3 3 2 25 3
1 2 3 10 26 2
2 1 3 15 20 2
2 2 2 10 20 2
1 5 4 12 20 4
1 4 5 16 20 4
1 4 5 18 20 4
1 3 4 20 27 3
1 4 3 18 28 4
2 3 4 20 28 3
2 3 4 16 28 3
1 4 5 7 12 4
2 4 5 9 20 4
1 2 3 10 24 3
2 3 5 6 26 4
2 3 4 10 28 3
1 3 4 9 27 3
2 4 5 8 24 4
2 3 3 10 22 3
1 4 4 6 23 4
2 3 4 10 25 4
1 4 5 10 20 4
2 2 3 15 20 2
2 2 2 16 20 2
1 4 4 18 20 4
2 3 2 16 20 3
2 3 3 14 25 3
1 3 3 20 22 3
1 3 3 16 23 3
1 4 5 17 28 4
2 3 3 16 23 3
2 3 4 5 15 3
1 4 4 10 28 4
2 3 3 6 24 3
2 2 3 10 27 2
1 3 3 6 26 3
2 4 4 7 28 4
1 2 3 6 24 2
2 4 5 8 22 4
1 4 5 6 23 4
1 5 5 8 20 5

Solutions

Expert Solution

SOLUTION

Lets enter the data in excel and then goto data > data analysis tab. The screenshots are as below

All the variables of interest are highlighted in yellow

The coeffecient of dtermination r2 is 0.863 , which means that model is able to explain 86.4% variation of the data. The regression equation can be formed using the coefficients as

Coefficients
Intercept 0.7094315
Dine In (1)/Take Out (2) -0.01884609
Satisfaction with Service 0.580369266
Satisfaction with Food 0.266814864
Driving Distance to Restaurant -0.006352462
Total Bill -0.0078379

Satisfaction = -0.007Bill -0.006Drving distance +0.26satisfaction +0.58 service - 0.018 dine in +0.709

based on the equation above , all variables that exhibit a negative coefficient contribute to a decrease in the overall satisfaction of the customer. Eg : a change of 1 unit in bill causes the satisfaction to go down by 0.07 units. Hence all variables with this inverse relationship must be focused on for improving the customer satisfaction


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