HELP Solve for x: 3x - 4 = 5x + 22
1 answer:
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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:
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Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
isolate the variable y
The slope of the given line is
step 2
Find the equation of the line that goes through the point (1,5) and is parallel to the given line
Remember that
If two lines are parallel then their slopes are equal
therefore
we have
substitute in the equation of a line in slope intercept form
solve for b
substitute