Question

In: Math

Advertising expenditures and sales for the last 5 quarters have been as follows: Quarter Advertising expenditures...

Advertising expenditures and sales for the last 5 quarters have been as follows:

Quarter Advertising expenditures Sales
1 1 4
2 1 5
3 2 6
4 2 7
5 4 8

In quarter 3, a new product was introduced that would influence sales in quarter 3. 4 and 5. The following model is established:

y=β1x1+β2x2+ ε

where y=sales, x1=advertising expenditures, x2 is a variable that is 1 when the new product is available and 0 otherwise, and ε is an error component. Find the least squares estimate of β1.

Solutions

Expert Solution

Step 1 : put the data in excel.


Step 2 : Go to data tab, select data analysis and click on regression


Step 3 : Update the values as shown.


Step 4 : The output will be provided as follows.

Regression

Sales = 3.75 +0.75 (Advertising expenditures) + 1.25 (New product)

beta coefficient for advertising = 0.75


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