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:

Price Number Sold

$2.70 760
$3.50 510
$2.00 980
$4.20 250
$3.10 320
$4.05 480

Using these data, how many mocha latte coffees would be forecast to be sold according to simple linear regression if the price per cup were $2.80?

Can you please show your work?

677 units

At $2.80, the forecast for sales is 677 units

Explanation:

No           Price (x)     Number Sold (y)          xy        x²         y²

                    ($)                                   ($)          ($)         ($)

1                  2.7          760                2052        7.29     577600

2                 3.5          510                         1785       12.25    260100

3                   2                  980                 19604     960400

4                 4.2          250                 1050      17.64     62500

5                 3.1          320                 992  9.61      102400

6                4.05         480                       1944    16.4025     230400

∑                19.55        3300                9783    67.1925    2,193,400

Y = a + bX

Where a = {(∑y)(∑x²) - (∑x)(∑xy)} / {n(∑x²) - (∑x)²}

b = {n(∑xy) - (∑x)(∑y)} / {n(∑x²) - (∑x)²}

a = {(3300*67.1925) - (19.55*9783)} / {(6*67.1925) - 19.55²}

= {221,735.25‬ - 191,257.65} / {403.155 - 382.2025‬}

= 30,477.6‬/20.9525‬

= 1,454.60

b = {(6*9783) - (19.55*3300)} / 20.9525

= {58,698‬ - 64,515‬} / 20.9525

= -5,817‬/20.9525

= -277.62

putting the equation together:

Y = 1454.60 + (-277.62)X

∴ when x = $2.80

Y = 1454.60 - 277.62(2.80)

= 1454.60 - 777.34

= 677.26‬ ≈ 677 units

the most important factor in the

work process or industry is to retain the interest of the employee. and to

retain them, their salary or profit must be adjusted to the best value. unless

the employee does not do his job properly, employees must receive bonuses or

benefits to ensure them to stay in the company. it will actually make them stay

longer, make them feel important and reduce costs for hiring new employees.

explanation:

mark brainliest!

a loan? that’s my guess, anywho.