The following data table shows the historical data for the first semester 2020, of the amount of sales of the company "IRC", which sells sneakers. Utilizing multiple lineal regression (as shown on the image), find an equation that estimates the number of sneakers sold by the company, based on advertising and revenue. Also, determine the standard error of estimation, the coefficient of determination, and the correlation coefficient. Write down what was the quantity in thousands sold in July if the amount of ads was 8 and the income for each unit was $135

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 53E
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The following data table shows the historical data for the first semester 2020, of the amount of sales of the company "IRC", which sells sneakers.

Utilizing multiple lineal regression (as shown on the image), find an equation that estimates the number of sneakers sold by the company, based on advertising and revenue. Also, determine the standard error of estimation, the coefficient of determination, and the correlation coefficient. Write down what was the quantity in thousands sold in July if the amount of ads was 8 and the income for each unit was $135

MONTH
January
February
March
April
May
June
QUANTITIES IN
THOUSANDS
33
61
70
82
17
24
ADVERTISING
(NUMBER OF
ADS)
3
6
10
13
9
6
INCOME
(FOR EACH
UNIT)
125
115
140
130
145
140
Transcribed Image Text:MONTH January February March April May June QUANTITIES IN THOUSANDS 33 61 70 82 17 24 ADVERTISING (NUMBER OF ADS) 3 6 10 13 9 6 INCOME (FOR EACH UNIT) 125 115 140 130 145 140
Multiple linear regression:
y = ao + αι*1 + azXz + e
Τ
s, = Σ wi-ao-a1x1 - 0272)
i=1
Standard error:
Sy =
S,
n – (m + 1)
dS,
λαο
asr
θαι
as,
dan
= -2
Σ
Oi - ad - arxai - antzi)
2Σ xaily; - ag
= -2
a1x1; – €2X2;)
22 x26; - an – anti - A2821)
y = do + arxi tantz tit am*m te
*1
X21
Στι
(ao)
Σχει Σχει Σχεσει {0}= Σκινι
Σχει Σκοτ Σχει
Σχεινε)
n
Determination coefficient:
12
St - S
St
Transcribed Image Text:Multiple linear regression: y = ao + αι*1 + azXz + e Τ s, = Σ wi-ao-a1x1 - 0272) i=1 Standard error: Sy = S, n – (m + 1) dS, λαο asr θαι as, dan = -2 Σ Oi - ad - arxai - antzi) 2Σ xaily; - ag = -2 a1x1; – €2X2;) 22 x26; - an – anti - A2821) y = do + arxi tantz tit am*m te *1 X21 Στι (ao) Σχει Σχει Σχεσει {0}= Σκινι Σχει Σκοτ Σχει Σχεινε) n Determination coefficient: 12 St - S St
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