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Nastasia [14]
3 years ago
5

An instructor measured quiz scores and the number of hours studying among a sample of 20 college students. If SSXY = 43, SSX = 9

8, MY = 6, and MX = 4, then what is the regression equation for this sample? (Round your numerical values to three decimal places.) Y hat = X +
Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

The regression equation for the sample is

Y= 0.430x +0.214

Step-by-step explanation:

Using the regression formula;

a= (nSSXY - MX MY)/(nSSX -MX^2)

a= (20×43- 4×6)/(20×98 - (4^2))

a= 836/(1960-16)

a= 836/1944

a= 0.430

X bar= summation x / n =4/20= 0.2

Y bar= summation y / n =6/20 = 0.3

b= y bar - a xbar

b= 0.3 - 0.430(0.2)

b= 0.3- 0.086

b= 0.214

The regression equation

Y= ax + b

Y= 0.430x +0.214

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4 0
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What is 1986÷7 please help me
sertanlavr [38]
Step 1. Set up long division 

  _______
7| 1 9 8 6

Step 2. <span>Calculate 19 ÷ 7, which is 2 with a remainder of 5.

       2
</span>  _______
7| 1 9 8 6
    1 4
_________
       5
  Step 3. Bring down 8, so that 58 is large enough to be divided by 7.

       2
  _______
7| 1 9 8 6
    1 4
_________
       5 8

Step 4. <span>Calculate 58 ÷ 7, which is 8 with a remainder of 2.

</span>       2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_________
          2

Step 5. <span>Bring down 6, so that 26 is large enough to be divided by 7.

</span>      2 8
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6

Step 6. Calculate 26 ÷ 7, which is 3 with a remainder of 5.
   
       2 8 3
  _______
7| 1 9 8 6
    1 4
_________
       5 8
       5 6
_______
          2 6
          2 1
       ______
             5

Step 7. <span>Therefore, 1986 ÷ 7 = 283 with a remainder of 5.

823 With a remainder of 5

Done!

</span><span>Decimal Form If Needed: 283.714286</span>
6 0
3 years ago
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