I need some heckin help cuz i suck at math :)
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The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The graph of the table of values</h3>To graph of the table of values, we plot
- The weights on the x-axis
- The city MPG on the y-axis
See attachment for graph
<h3>Type of correlation</h3>The correlation is a negative correlation, because weights and city MPG do not increase at the same time
<h3>The equation of the line of best fit</h3>To do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
- Sum of X = 463
- Sum of Y = 388
- Mean X = 28.9375
- Mean Y = 24.25
- Sum of squares (SSX) = 862.9375
- Sum of products (SP) = -857.75
The line of best fit equation is
y = bx + a
Where
b = SP/SSX = -857.75/862.94 = -0.99
a = MY - bMX = 24.25 - (-0.99*28.94) = 53.0
So, we have:
y = -0.99x + 53
Hence, the equation of the line of best fit is y = -0.99x + 53
<h3>The weight for 30 MPG</h3>This means that y = 30
So, we have:
-0.99x + 53 = 30
Subtract 53 from both sides
-0.99x = -23
Divide by -0.99
x =23
Hence, the predicted weight is 23 pounds
<h3>The city MPG for 1500 pounds</h3>This means that x = 1500
So, we have:
y = -0.99 * 1500 + 53
Evaluate
y = -1432
Hence, the city MPG for 1500 pounds is -1432
Read more about linear regression at:
#SPJ1
Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB
Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer
Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3
Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3 <<<<< Slope CD Answer
Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13
Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
x2 = 6 or
x2 = 4
Using y2 = 3x - 13
for x2 = 4
then y2 = 3(4) - 13
y2 = - 1
for x2 = 6
y2 = 3*6 - 13
y2 = 5
Possible Answers for D
D = (4,-1)
D = (6,5)
I've included a graph to show a graphical solution.
Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB
Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer
Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3
Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3 <<<<< Slope CD Answer
Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13
Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
x2 = 6 or
x2 = 4
Using y2 = 3x - 13
for x2 = 4
then y2 = 3(4) - 13
y2 = - 1
for x2 = 6
y2 = 3*6 - 13
y2 = 5
Possible Answers for D
D = (4,-1)
D = (6,5)
I've included a graph to show a graphical solution.
Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.