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kifflom [539]
3 years ago
14

The following selected transactions were completed by Capers Company during October of the current year:

Business
1 answer:
pychu [463]3 years ago
8 0

Answer:

Oct. 1 Purchased merchandise from UK Imports Co., $13,377, terms FOB destination, n/30.

Dr Merchandise inventory 13,377

   Cr Accounts payable 13,377

Oct. 3 Purchased merchandise from Hoagie Co., $10,650, terms FOB shipping point, 2/10, n/eom. Prepaid freight of $230 was added to the invoice.

Dr Merchandise inventory 10,880

    Cr Accounts payable 10,880

Oct. 4 Purchased merchandise from Taco Co., $14,350, terms FOB destination, 2/10, n/30.

Dr Merchandise inventory 14,350

    Cr Accounts payable 14,350

Oct. 6 Issued debit memo to Taco Co. for $5,000 of merchandise returned from purchase on October 4.

Dr Accounts payable 5,000

    Cr Merchandise inventory 5,000

Oct. 13 Paid Hoagie Co. for invoice of October 3.

Dr Accounts payable 10,880

    Cr Cash 10,667

    Cr Purchase discounts 213

Oct. 14 Paid Taco Co. for invoice of October 4, less debit memo of October 6.

Dr Accounts payable 9,350

    Cr Cash 9,163

    Cr Purchase discounts 187

Oct. 19 Purchased merchandise from Veggie Co., $25,850, terms FOB shipping point, n/eom.

Dr Merchandise inventory 25,850

   Cr Accounts payable 25,850

Oct. 19 Paid freight of $430 on October 19 purchase from Veggie Co.

Dr Merchandise inventory 430

    Cr Cash 430

Oct. 20 Purchased merchandise from Caesar Salad Co., $23,000, terms FOB destination, 1/10, n/30.

Dr Merchandise inventory 23,000

    Cr Accounts payable 23,000

Oct. 30 Paid Caesar Salad Co. for invoice of October 20.

Dr Accounts payable 23,000

    Cr Cash 22,770

    Cr Purchase discounts 230

Oct. 31 Paid UK Imports Co. for invoice of October 1.

Dr Accounts payable 13,377

   Cr Cash 13,377

Oct. 31 Paid Veggie Co. for invoice of October 19.

Dr Accounts payable 25,850

    Cr Cash 25,850

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We want to create a linear model like this :

$$y=m x+b$$

Where

$$m=\frac{S_{x y}}{S_{x x}}$$

And:  

$$\begin{aligned}& S_{x y}=\sum_{i=1}^n x_i y_i-\frac{\left(\sum_{i=1}^n x_i\right)\left(\sum_{i=1}^n y_i\right)}{n} \\& S_{x x}=\sum_{i=1}^n x_i^2-\frac{\left(\sum_{i=1}^n x_i\right)^2}{n}\end{aligned}$$

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Now we can find the means for x and y like this:

$$\begin{aligned}& \bar{x}=\frac{\sum x_i}{n}=\frac{4210}{7}=601.429 \\& \bar{y}=\frac{\sum y_i}{n}=\frac{49}{7}=7\end{aligned}$$

And we can find the intercept using this:

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And the line would be:

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Part b

The correlation coefficient is given by:

r=\frac{n\left(\sum x y\right)-\left(\sum x\right)\left(\sum y\right)}{\sqrt{\left[n \sum x^2-\left(\sum x\right)^2\right]\left[n \sum y^2-\left(\sum y\right)^2\right]}}

For our case we have this:

$$\begin{aligned}& \mathrm{n}=7 \sum x=4210, \sum y=49, \sum x y=30095, \sum x^2=2595100, \sum y^2=354 \\& r=\frac{7(30095)-(4210)(49)}{\sqrt{\left[7(2595100)-(4210)^2\right]\left[7(354)-(49)^2\right]}}=0.7503\end{aligned}$$

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