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6. Regression analysis

Let

X

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be the cups of coffee sold

And

Y

be the utility expenses

9300

86490000

460

Month

X Y

X2

XY

Jan.

9300

472

864

9000

0

4389

600

Feb.

9800

510

96040000

4998000

March

10850

524

117722500

5685400

April

9500

460

90250000

4370000

May

440

4092000

June

9000

81000000

4140000

July

8800

452

7

7440000

3977600

Aug.

8600

430

73960000

3698000

Sept.

11000

535

121000000

5885000

Oct.

11620

570

135024400

6623400

Nov.

12000

580

144000000

6960000

Dec.

12400

600

153760000

7440000

Total

122170

6033

1263176900

62259000

The regression line is

Y = a + bX

Where a= fixed cost

b= variable cost per cup

b =

= 0.04

a = – b

= 62.61

Y= 62.61 + 0.04X

Fixed cost = 62.61

Variable cost per cup = 0.04

High – Low method

Sales revenue Utility expenses

High 12400 600

Low 8600 430

Difference 3800 170

Variable cost per cup = 3800/170

= 0.04

Fixed cost = 600 – 12400(Variable cost per cup)

= 45.26

7. Regression method is most appropriate as compare to high low method because it based on all the figures of the data. As shown in above calculation variable cost is almost same but fixed cost is different because high low method based on only extreme values not as a whole.

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