The linear regression model gives mathematical relationship between two variables, the dependent<em> and </em>independent<em> variables</em>. The linear models between the <em>quantity sold and the variables average price, disposable income and monthly advertising are</em> :
- <em>y = - 4713.46x + 117763</em>
- <em>y = 2.94x - 58384</em>
- <em>y = - 1.75x - 32655</em>
To create a linear model using the data given, we use technology such as a excel or a linear regression calculator :
The linear model created using a linear regression calculator between each of the independent variables and quantity sold are :
<u>Average price of deep - dish and Quantity sold :</u>
- Average price of deep - dish pizza(X)
- Quantity sold (Y)
y = - 4713.46x + 117763
<u>Disposable income and Quantity sold</u> :
- Disposable income (X)
- Quantity sold (Y)
y = 2.94x - 58384
<u>Monthly advertising expenditure and Quantity sold</u> :
- Monthly advertising cost (X)
- Quantity sold (Y)
y = - 1.75x - 32655
Learn more :brainly.com/question/18405415
The table to complete the proof is as follows
Equation statement
1. m∠ABD = 60°, m∠DBC=40° Given
2. m∠ABD + m∠DBC = m∠ABC Angle Addition Postulate
3. 60° + 40° = m∠ABC Substitution Property of Equality
4. 100° = m∠ABC Simplifying
5. ∠ABC is an obtuse angle. greater than 90 degrees
6. △ABC is an obtuse triangle. Definition of obtuse triangle
<h3>What is obtuse angles?</h3>
When an angel is greater than 90 degrees the angle is said to be an obtuse angle.
For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.
Read more on angles here: brainly.com/question/25716982
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1) use distributive property
3x - 6 + 5x + 4
8x - 2
2) 4-2x - 14 - 3
-14 - 2x
The equation of a line in point-slope form is y-6=1/3(x-2) remember point-slope is y1-y2=m(x1-x2)