Question

In: Statistics and Probability

A study was conducted to analyze whether there is a linear relation between the number of...

A study was conducted to analyze whether there is a linear relation between the number of customers who visited a store and the total sales at that store.
The following data was collected over a period of 14 days:

Number of customers Total Sales(K)
  
125 35.1
88 28.5
111 30.3
121 36.2
102 33.4
98 30.2
106 31.2   
133 44.5
128 39.4
105 32.5
118 33.2
127 40.5
144 58.2
136 41.3
  
(a)   What is the dependent and independent variable?

(b)   Prepare a scatter plot. What is the direction of correlation?


(c)   What is the equation of the regression line?


(d)   What is the coefficient of determination (r2) and interpret the meaning of it.

(e)   Calculate the correlation coefficient (r) and interpret the meaning of it.


(f)   Predict total sales if 120 customers visited the store.


(g)   Would it be possible to use this regression model to predict the Total Sale for 500 customers? Why?

   Number of Customers   Total Sales ($K)
day 1   125   35.1
day 2   88   28.5
day 3   111   30.3
day 4   121   36.2
day 5   102   33.4
day 6   98   30.2
day 7   106   31.2
day 8   133   44.5
day 9   128   39.4
day 10   105   32.5
day 11   118   33.2
day 12   127   40.5
day 13   144   58.2
day 14   136   41.3

Solutions

Expert Solution

Due to insufficient time , i will not answer last bit.

please send teh separate bit , i will answer it .

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