Café Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical observations, Gary has gathered the following data, which show the numbers of these coffees sold over six different price values: O Price $2.50 $3.40 $2.10 $4.30 $3.00 $4.10 Using simple linear regression and given that the price per cup is $1.75, the forecasted demand for mocha latte coffees will be cups (enter your response rounded to one decimal place). Number Sold 765 515 975 245 315 480

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Café Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical observations, Gary has gathered the following data,
which show the numbers of these coffees sold over six different price values:
D
Price
$2.50
$3.40
$2.10
$4.30
$3.00
$4.10
Using simple linear regression and given that the price per cup is $1.75, the forecasted demand for mocha latte coffees will be cups (enter your response rounded to one decimal place).
Number Sold
765
515
975
245
315
480
Transcribed Image Text:Café Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical observations, Gary has gathered the following data, which show the numbers of these coffees sold over six different price values: D Price $2.50 $3.40 $2.10 $4.30 $3.00 $4.10 Using simple linear regression and given that the price per cup is $1.75, the forecasted demand for mocha latte coffees will be cups (enter your response rounded to one decimal place). Number Sold 765 515 975 245 315 480
Expert Solution
Step 1

Formulae used: 

Linear regression forecast: 

Y= a+bxwhere,b= slope of the line a= Value of Ywhere x=0

b= slope of the line

a= Value of Y where x=0

b=nxy-xynx2-x2

a=y-bxn

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