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adoni [48]
3 years ago
7

Let x1 represent a quantitative independent variable and x2 represent a dummy variable for a 2-level qualitative independent var

iable. Which of the following models is the equation that produces two parallel curves, one for each level of your QL variable?
A. E(y) = ?0 + ?1x1 + ?2x12 + ?3x2
B. E(y) = ?0 + ?1x1 + ?3x2
C. E(y) = ?0 + ?x11 + ?3x2 + ?4x1x2
D. E(y) = ?0 + ?1x1 + ?2x12 + ?3x2 + ?4x1x2 + ?5x12x2
Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

D. E(y) = ?0 + ?1x1 + ?2x12 + ?3x2 + ?4x1x2 + ?5x12x2

Step-by-step explanation:

Quantitative variables are measured in terms of numbers, and figures. Independent variables are those which are reason for change in other variables. Dummy variables are numerical that represents categorical data. The range of these variables is small and they can take on only two quantitative values.

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Find the distance between (-5 3) and (4 -5)​
ruslelena [56]

Answer:

19 or √145 ≈ 12.04

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Distance  =  √ ( x ₂  −  x ₁ )²  +  ( y ₂  −  y ₁ ) ²

Substitute the actual values of the points into the distance formula.

√ ( 4  −  (  −  5 )) ²  +  ( ( − 5 ) − 3 ) ²

Simplify:  

√ 145

The result can be shown in multiple forms.

Exact Form:

√ 145

Decimal Form:

12.04159457  … ≈ 12.04

6 0
3 years ago
What is the value of the expression 3.6 x 10^8 over 1.2 x 10^3?
Oksanka [162]
3 x 10^5 would be the answer you are looking for

6 0
3 years ago
Read 2 more answers
Solve the system by using the technique of ‘elimination’: -2x+5y=-42,7x+2y=30
Gekata [30.6K]

Solve the following system using elimination:

{5 y - 2 x = -42 | (equation 1)

7 x + 2 y = 30 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 2 y = 30 | (equation 1)

-(2 x) + 5 y = -42 | (equation 2)

Add 2/7 × (equation 1) to equation 2:

{7 x + 2 y = 30 | (equation 1)

0 x+(39 y)/7 = (-234)/7 | (equation 2)

Multiply equation 2 by 7/39:

{7 x + 2 y = 30 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{7 x+0 y = 42 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 6 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

Answer: {x = 6, y = -6

3 0
4 years ago
Solve the equation 5x + 3 = -3x + 99 algebraically. Answer as a reduced fraction only.
abruzzese [7]

Answer:

12

Step-by-step explanation:

add 3x both sides

8x +3 = 99

subtract 3 on both sides

8x = 96

divide by 8

x = 96/8 = 12

7 0
2 years ago
this distance-time graph represents a journey made by Sue. work out how much time Sue spends travelling and how much time she sp
wariber [46]

Answer: Sue spends travelling 3.5 hours and spends stationary 2.5 hours

Step-by-step explanation:

The attached image shows Sue's distance-time graph, from there we can observe the segments where she is stationary (lines with no slope) and the segments where she is travelling (lines with slope).

<u>Time spent travelling:</u>

From 2 p.m. to 3 p.m. is 1 hour

From 3:30 p.m. to 4 p.m. is 0.5 hour

From 5 p.m. to 6:30 p.m. is 1.5 hours

From 7:30 p.m. to 8 p.m. is 0.5 hour

Total time travelling=1 h+0.5 h+1.5h+0.5h=3.5 h

<u>Time spent stationary:</u>

From 3 p.m. to 3:30 p.m. is 0.5 hour

From 4 p.m. to 5 p.m. is 1 hour

From 6:30 p.m. to 7:30 p.m. is 1 hour

Total time travelling=0.5 h+1 h+1h=2.5 h

5 0
3 years ago
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