Find the least squares regression line and graph both the

Question

Quiz:

Problem 1:

Graph f(x) = x² - 5x + 4

Problem 2:

Graph the following function:

            4 - x²          if x < 1

f (x) =

                x           if x ≥ 1

Problem 3:

Graph the function f (x) = √x, and use this plot to graph the function g(x) = √(x + 1)

Problem 4:

Graph the function f (x) = (x - 1)², and use this plot to graph the function g(x) = (2x - 1)²

Problem 5:

Find the slope of the line containing the following pair of points:

P (1, -1), Q(3, -3)

Problem 6:

Write the equation of the line containing the points (0, 1) and (2, 3)

Problem 7:

Solve the following equation:

2 - |x + 4| = 1

Problem 8:

Graph the following function:

f (x) = |x + 2|

Problem 9:

Find the least squares regression line, and graph both the scatter plot and the regression line, for the following set of data:

x	1	2	3	4	5	6	7	8	9
y	1.367	1.548	3.172	4.064	4.739	5.913	7.069	8.716	9.554

Problem 10:

Find the least squares regression line, and graph both the scatter plot and the regression line, for the following set of data:

x	1	2	3	4	5	6	7	8	9
y	2.865	5.304	7.073	8.994	11.072	12.980	14.988	17.149	19.141