Linear Equation
What is slope - intercept form?
y=mx+b
What is the equation of a line in slope intercept form with the point (8,16) and a slope of 3?
y=3x-8
Convert the point slope equation to standard form
y - 6 = 3 ( x + 1)
y = 3x + 9
Use the scatter plot to complete the statement.
_________ represents the better line of fit for the scatter plot.
Line B
Determine if the situation illustrates correlation and causation, correlation but not causations, or neither.
A study found no noticeable relationship between the number of hours students exercises and students grades.
Neither
What is standard form?
m = -4.5
b = 3
Convert the following equation to standard form
y = 3x + 9
3x - y = -9
The graph above shows a line of best fit for data collected on the amount of water bills in relation to the number of gallons of water used. Which equation best represents the line of best fit?
a. y = 1.75x + 14.25
b. y = -0.75 +15.25
c. y = 1.75x +12.25
d. y = 1.95x +16.25
C
The table shows a company's revenue, in millions of dollars each year since the company started in 2000. What is the correlation coefficient? What is the association? Round to the nearest hundredth.
r2=0.9966 m=0.4314
r=0.9983 b=0.3067
What is point - slope form?
y - y1 = m(x - x1)
Write the equation of the line on the graph in point slope form.
*Go to word for picture of the graph
y - 2 = 1/2(x - 3)
Write the line of the equation in standard form represented by
y=3/2x -6
3x - 2y = 6
The graph above shows the line of best fit for data collected on the amount of time spent watching TV in relation to the time spent on the computer. Which equation best represents the line of best fit?
a. y = -0.5x + 210
b. y = -0.7x + 215
c. y = -0.6x + 200
d. y = -5x + 210
A
A study of 100 randomly selected students from first through sixth grade finds a strong correlation between overall fitness and participation in sports. Can you conclude that participation in a sport causes students to be more fit? Why or why not?
a. No. Two variables can show a strong correlation even if there is not causation.
b. Yes. Two variables can show a strong correlation even if there is not causation.
c. No. One variable can show a strong correlation even if there is not causation.
d. Yes. One variable can show a strong correlation even if there is not causation.
a. No. Two variables can show a strong correlation even if there is not causation.
Write the point - slope equation for the point (-2,3) and a slope of 5.
y - 3 = 5 (x + 2)
Write the equation of a line that passes through the point (-2,4) and is parallel to the line y = x - 7
y = x - 2
Select all the equations that represent a line passing through the point (2, -5) with a slope of 4.
a. y - 5 = 4 (x +2)
b. y +5 = 4 (x - 2)
c. y + 2 = 4 (x - 2)
d. 4x - y = -13
e. 4x - y = 13
f. 2x - 5y = 4
B and E
The data show Mark’s commute times, in minutes, based on how many minutes after 7:00 A.M. he leaves his home. Use the points (2, 23) and (16, 16) to write an equation for the line of fit in slope-intercept form, where x is the number of minutes after 7:00 A.M. and y is the commute time, in minutes. If the trend continues, what would be the approximate commute time if Mark leaves at 7:18 A.M.?
y = -1/2x+25
What is the number of positive residuals?
2
The instructions on a box of chicken patties state that one patty should be cooked for 3.5 minutes in the toaster. If more than one patty is cooked, an additional 1 minute should be added per patty. Write an equation in slope-intercept form to model the cooking time in minutes, y, for x patties.
y = x + 3.5
Write the equation of a line that passes through the point (8, 5) and is perpendicular to y = - 4x +9
y = 1/4x +3
Determine A, B, and C when y + 7 = 2(x - 5) is written in standard form, Ax + By = C
A = 2
B = -1
C = 17
The table shows a company's revenue, in millions of dollars each year since the company started in 2000. Write the equation of best fit line. Round to the nearest hundredth.
r2=0.9966 m=0.4314
r=0.9983 b=0.3067
y=0.43x + 0.31
What year has the largest residual? What is the residual?
2013, -20.3