Question
How can you evaluate the goodness of fit for a line of best fit for a paired data set?
- By comparing the points to each other
- By comparing the correlation coefficient to +1 or -1
- By comparing the line to the y-axis
- By comparing the line to the x-axis
The correct answer is: By comparing the correlation coefficient to +1 or -1
We first find the predicted values using the equation of the line of best fit and find the residuals (actual values minus predicted values ).
By plotting the residual plot using ordered pairs (x-value, Residual), we can determine the goodness of the line of best fit
By comparing the correlation coefficient to +1 or -1
Related Questions to study
Jhon draws a trend line for the scatter plot in item 3 and writes the equation y = 6.5x + 12 to represent the line. Use her equation to predict how much she will spend if she buys 7 books
Jhon draws a trend line for the scatter plot in item 3 and writes the equation y = 6.5x + 12 to represent the line. Use her equation to predict how much she will spend if she buys 7 books
Let 
. Suppose you subtract 5 from the input of the f to create the new function g, then multiply the input of the function g by 3 to create a function h. Write the equation that represents h?
Let . Suppose you subtract 5 from the input of the f to create the new function g, then multiply the input of the function g by 3 to create a function h. Write the equation that represents h?
If 
is the transformation of 
after a vertical compression by 
, a shift right by 2, and a shift down by 4. What a function for .
>>>Vertical shift of f(x) by 3/4 becomes 3/4(x)
>>>Shifting right the function becomes 3/4(x-2)
>>>Shifting right the function gives 3/4(x-2)-4.
If is the transformation of after a vertical compression by , a shift right by 2, and a shift down by 4. What a function for .
>>>Vertical shift of f(x) by 3/4 becomes 3/4(x)
>>>Shifting right the function becomes 3/4(x-2)
>>>Shifting right the function gives 3/4(x-2)-4.
Which of the following describes the difference between the graph of f and the graph of the input of f multiplied by 5?
From the question it is clear that 
.
So, the slope changes by a factor of 5; the y - intercept does not change.
Which of the following describes the difference between the graph of f and the graph of the input of f multiplied by 5?
From the question it is clear that .
So, the slope changes by a factor of 5; the y - intercept does not change.
A student graph 
. On the same grid, he/she graphs the function g which is a transformation of f made by multiplying 
to the output of f. Write the equation of the transformed graph.
Given 
So,
A student graph . On the same grid, he/she graphs the function g which is a transformation of f made by multiplying to the output of f. Write the equation of the transformed graph.
Given
So,
Which line fits the data graph below?
Which line fits the data graph below?
A student graph 
. On the same grid, he/she graphs the function g which is a transformation of f made by subtracting 4 from the input of f. Write the equation of the transformed graph.
Given 
So,
A student graph . On the same grid, he/she graphs the function g which is a transformation of f made by subtracting 4 from the input of f. Write the equation of the transformed graph.
Given
So,
The minimum wage for employees of a company is modeled by the function 
. The company decided to offer a signing bonus of $50. Write the function of g that models the new wage for employees of a company.
The minimum wage for employees of a company is modeled by the function . The company decided to offer a signing bonus of $50. Write the function of g that models the new wage for employees of a company.
The graph of g describes as a _____________ of the graph of f.
Given 
and
So, the graph of the function g is the function f translates k units horizontally.
The graph of g describes as a _____________ of the graph of f.
Given and
So, the graph of the function g is the function f translates k units horizontally.
The graph of 
is a _____________ of 
when k > 1.
Multiplying the output of a linear function f by k scales its graph vertically.
So, when k > 1 the transformed graph is a vertical stretch.
The graph of is a _____________ of when k > 1.
Multiplying the output of a linear function f by k scales its graph vertically.
So, when k > 1 the transformed graph is a vertical stretch.
Find the value of k for each function g.
For a given 
, the graph of the function g is the function f translates k units vertically.
The function of the graph g is translated 3 units up compared to the graph of f.
So, the value of k = 3.
Find the value of k for each function g.
For a given , the graph of the function g is the function f translates k units vertically.
The function of the graph g is translated 3 units up compared to the graph of f.
So, the value of k = 3.
Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?
From the question it is clear that 
.
So, both the slope and y - intercept change by a factor of 2.
Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?
From the question it is clear that .
So, both the slope and y - intercept change by a factor of 2.
Describe the transformation of the function 
that makes the slope 1 and the y - intercept 2.
Describe the transformation of the function that makes the slope 1 and the y - intercept 2.
The cost of renting a landscaping tractor is a $150 security deposit plus the hourly rate is $30/hour. Write the function f that represents the cost of renting the tractor.
The security deposit is constant that is 150 dollars and the total cost for the tractor is 30x.
>>>Then, the functional representation of the given data is 150 + 30x.
The cost of renting a landscaping tractor is a $150 security deposit plus the hourly rate is $30/hour. Write the function f that represents the cost of renting the tractor.
The security deposit is constant that is 150 dollars and the total cost for the tractor is 30x.
>>>Then, the functional representation of the given data is 150 + 30x.
Describe how the transformation of the graph of 
compares with the graph of .
The given function function finally becomes 0.2f(x) which is reduced from the given function.
>>>>It is said to be Horizontal stretch.
Describe how the transformation of the graph of compares with the graph of .
The given function function finally becomes 0.2f(x) which is reduced from the given function.
>>>>It is said to be Horizontal stretch.
