Mathematics: What is - 4/7 as a number?

yhat=1.36+0.74xwhen x=7 then yhat=6.54Step-by-step explanation:Th regression equation isyhat=a+bxwhere slope b isand intercept a isa=ybar-bxbarx 4 5 2 6 9y 4 6 2 7 7 xy 16 30 4 42 63x² 16 25 4 36 81n=5.sumx=26.sumy=26.sumx²=162.sumxy=155.b=0.7388b=0.74 (rounded to 2 decimal places)xbar=sumx/n=26/5=5.2ybar=sumy/n=26/5=5.2a=ybar-b*xbara=5.2-0.7388*5.2a=5.2-3.8418a=1.3582a=1.36 (rounded to 2 decimal places)Thus, the required regression equation isyhat=1.36+0.74xWhen x is...

What is - 4/7 as a number? - id4710368938, admiralaj85

Ответ:

mdsulli99

10.10.2020

Mathematics

yhat=1.36+0.74x

when x=7 then yhat=6.54

Step-by-step explanation:

Th regression equation is

yhat=a+bx

where slope b is

$b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }$

and intercept a is

a=ybar-bxbar

x 4 5 2 6 9

y 4 6 2 7 7

xy 16 30 4 42 63

x² 16 25 4 36 81

n=5.

sumx=26.

sumy=26.

sumx²=162.

sumxy=155.

$b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }$

$b=\frac{99}{134 }$

b=0.7388

b=0.74 (rounded to 2 decimal places)

xbar=sumx/n=26/5=5.2

ybar=sumy/n=26/5=5.2

a=ybar-b*xbar

a=5.2-0.7388*5.2

a=5.2-3.8418

a=1.3582

a=1.36 (rounded to 2 decimal places)

Thus, the required regression equation is

yhat=1.36+0.74x

When x is 7 this gives yhat

yhat=1.36+0.74*7

yhat=1.36+5.18

yhat=6.54

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What is - 4/7 as a number?

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