Your linear regression function read as follows:
r² = 0.9909817911, r = 0.9954806834, a = 13.55882353, b = 17.58823529
Which is the y-intercept of the line?

Your linear regression function read as follows:
r² = 0.9944, r = 0.9972, a = 0.776823, b = 4.69062
Which is the slope of the line?

What function determines the equation of a line of best fit?

How can you evaluate the goodness of fit for a line of best fit for a paired data set?

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?

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.

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?

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 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.

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.