 Write the equation of the line in standard form that passes through (-3,2) and (0,-1).  Write the equation of the line in slope intercept form that.

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Presentation transcript:

 Write the equation of the line in standard form that passes through (-3,2) and (0,-1).  Write the equation of the line in slope intercept form that passes through (5,0) and is perpendicular to y = -x + 5.  Write an equation of a line parallel to x = 3 that passes through (2,-8).  A professional basketball player earns $150,000 per game played. There are 82 games in the season. What is the domain and range of this situation? Algebra II 1

Modeling Linear Functions Algebra II

 A line of best fit (or “trend” line) is a straight line that best represents the data on a scatter plot.  This line may pass through some of the points, none of the points, or all of the points. Algebra II 3 SJ pg 15

 A value that determines how closely your line fits your data.  Closer to +1, positive correlation  Closer to -1, negative correlation  Closer to zero, no correlation Algebra II 4 SJ pg 15

 A scatter plot is a graph used to determine whether there is a relationship or correlation between paired data Algebra II 5 SJ pg 15

 If y tends to increase as x increases, then there is a positive correlation.  If y tends to decrease as x increases, then there is a negative correlation.  If the points show no linear pattern, then there is relatively no correlation. Algebra II 6 SJ pg 17

No Correlation Algebra II 7 SJ pg 17

Positive Algebra II 8 SJ pg 17

Negative Algebra II 9 SJ pg 17

10 Algebra II SJ pg 14

11 Algebra II SJ pg 15

12 Algebra II SJ pg 16

13 Algebra II SJ pg 16

14 Algebra II

1. Graph the data 2. Sketch a line of best fit that goes through the middle of the data. 3. Pick two points from the line. (At least one has to be from your data) 4. Get the equation of the line using the point slope form. Algebra II 15

16 Algebra II SJ pg 17 #7

1. Store the data in lists. (stat/edit) 2. Use “LinReg(ax+b)” feature. 3. Get line of best fit using the “LinReg(ax+b)” feature. stat/calc 4: linreg (2 nd ) L 1, (2 nd ) L 2, Y 1 (Vars y-vars 1.function 1. Y 1 ) 4. Graph line and adjust the window to view the graph. 5. The line is in slope-intercept form under “y=”. Under y 1 Algebra II 17

Algebra II 18 SJ pg 17 #4 The cost, y, of parking in a parking garage for x hours in Denver is shown in the table. Find a linear regression line using your GUT.

Algebra II 19 SJ pg 17 #4 The cost, y, of parking in a garage in Chicago is represented by y=15x Which city’s parking garage charges more per hour? After how many hours would parking in both cities be the same?

20 Algebra II Line of Best Fit: Estimate the mass of 20 bolts: How many bolts would be needed to make a mass of 80 grams?

Algebra II 21 Line of Best Fit: Estimate the cost for 15 classes. How many classes did you take if you were charges $100?

Algebra II 22 Gym A charges a fee of $10 per month plus $5 per fitness class, write a linear model for this situation. Which gym charges less per fitness class? After how many fitness classes will the fees of the two gyms be the same?

 Line of best fit:  Estimate the height of a female whose humerus is 40 centimeters long. 23 Algebra II

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