Vocab
two lines having the same slope
Parallel lines
Write two equations with parallel slopes in slope intercept form using m=3
y=3x+2
y=3x-5
Write two equations with perpendicular slopes in slope intercept form using m=-7
y=-7x+2
y=1/7x+3
y=2x+7
y=-2x+9
Neither
A study finds that there is a correlation between the number of people going to the beach and the temperature during the day.
The study then concludes that higher temperatures result in more people going to the beach.
Write a statement that correctly describes whether the study’s conclusion is correct or incorrect and why.
The study's conclusion is incorrect because there could be multiple factors that cause people to go to the beach
opposite reciprocal slopes
perpendicular lines
Write two equations with parallel slopes in point slope form using m=1/2
y-3=1/2(x+5)
y+1=1/2(x+4)
Write two equations with perpendicular slopes in point slope form using m=5
y-5=5(x-1)
y+1=-1/5(x+2)
y=7x+1
y=-1/7x+1
Perpendicular
Three variables are shown.
Identify the independent and dependent variables and define the relationship.
Independent: B
Dependent: A and C
The relationship between the independent and dependent variables is probably causal and correlated.
y=mx+b
slope intercept form
Write two equations with parallel slopes in slope intercept form using m=-8
y=-8x+7
y=-8x+2
Write two equations with perpendicular slopes in slope intercept form using m=4/3
y=4/3x-8
y=-3/4x+3
y-8=4(x-2)
y-1=4(x+3)
Parallel
Emma recently purchased a new car. She decided to keep track of how many gallons of gas she used on five of her business trips. The results are shown in the table below.
Miles Driven # of gallons used
150 7
200 10
400 19
600 29
1000 51
Write the linear regression equation for these data where miles driven is the independent variable. (Round all values to the nearest hundredth.)
perpendicluar
y-y1=m(x-x1)
point slope form
Write two equations with parallel slopes in point slope form using m=-2/3
y-3=-2/3(x+5)
y+1=-2/3(x+4)
Write two equations with perpendicular slopes in point slope form using m=-1/4
y-3=-1/4(x+3)
y+4=4(x-2)
y-9=2(x-4)
y+5=1/2(x+2)
neither
A climbing gym franchise is planning to install a new climbing wall at one of its locations. To help decide on the optimal height for the new wall, the location manager looked at usage patterns for the existing climbing walls.
For each wall, she looked up the height (in meters), x, and the number of gym members who had climbed it last year, y.
The least squares regression line of this data set is:
y=–9.379x+1,163.174
The least squares regression line predicts that for each additional meter of height, a wall would have been climbed by ____ numver of members
9.379
ax+by=c
standard form
Write two equations with parallel slopes in standard form.
2x-5y=54
2x-5y=-7
Write two equations with perpendicular slopes in standard form using
-3x+5y=12
3x+5y=23
5x+6y=18
5x+6y=24
parallel
About a year ago, Joey watched an online video of a band and noticed that it had been viewed only 843 times. One month later, Joey noticed that the band’s video had 1708 views. Joey made the table below to keep track of the cumulative number of views the video was getting online.
Months Since Total views
First Viewing
0 843
1 1708
2 Forgot to record
3 7124
4 14,684
5 29,787
6 62,381
Write a regression equation that best models these data. Round all values to the nearest hundredth. Justify your choice of regression equation.
y = (836.47)(2.05)^2