MRY Ch 3.5 Equations of Trend Lines (17 pts) (11/7/2023)

Last updated over 2 years ago

10 questions

Instructions

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MRY Ch 3.5 Equations of Trend Lines (17 pts) (11/7/2023)

Last updated over 2 years ago

10 questions

Instructions

y = mx +b represents the equation of a line where 'b' is the y-intercept and 'm' is the slope. Knowing this, choose the correct line for each of the graphs below.

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Draggable item		Corresponding Item

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y = mx +b represents the equation of a line where 'b' is the y-intercept and 'm' is the slope. Knowing this, choose the correct line for each of the graphs below.

Match each graph with the equation of its trend line.

Draggable item		Corresponding Item
		y = x
		y = -25x + 250
		y = 5x + 30
		y = -25/3 x + 200
		y = -50x + 500
		y = 10x
		y = 1/2 x + 3
		y = -50/3 x + 400

Using the points (3,2) and (8,6), what is the slope of the trend line?

2/1

4/5

-1/2

Using the point (3,2) and the slope, what is the equation of the trend line in point slope form?

y - 2 = 4/5 (x-3)

y - 2 = 3 (x - 4/5)

y - 3 = 5/4 (x - 2)

Using the point (3,2) and the slope, what is the equation of the trend line in slope intercept form?

y = 4/5 -3 

y = 3x - 2

y = 4/5 x - 2/5

The points shown are plotted to create a scatter plot. Using the points (2,3) and (5,10), what is the slope of the trend line?

7/3

-3/7

1/4

Using the points (5,10) and the slope, what is the equation of the trend line in point slope form?

y = 7/3 x + 5

y - 10 = 7/3 ( x - 5)

y - 5 = 3/7 x - 10

Using the points (5,10) and the slope, what is the equation of the trend line in slope intercept form?

y = 7/3 x - 5/3

y = 7/3 x - 5

y  = 7/3 x + 5/4

The plot shows the relationship between the number of total points scored and the number of penalties. Using the points (7,4) and (2,8), what is the slope of the trend line?

5/6

-4/5

5/4

Using the point (2,8), what is the slope of the trend line in slope intercept form?

y = 5/4 x + 16

y = -4/5 x -1/4

y = -4/5 x + 48/5

Which statement is true?

The total points scored are likely to be greater as the number of penalties increase.

As the number of penalties increase, the total points scored decreases.

There is no correlation between total points scored and the number of penalties

Match each graph with the equation of its trend line.

y = x

y = -25x + 250

y = 5x + 30

y = -25/3 x + 200

y = -50x + 500

y = 10x

y = 1/2 x + 3

y = -50/3 x + 400

Using the points (3,2) and (8,6), what is the slope of the trend line?

2/1

4/5

-1/2

Using the point (3,2) and the slope, what is the equation of the trend line in point slope form?

y - 2 = 4/5 (x-3)

y - 2 = 3 (x - 4/5)

y - 3 = 5/4 (x - 2)

Using the point (3,2) and the slope, what is the equation of the trend line in slope intercept form?

y = 4/5 -3 

y = 3x - 2

y = 4/5 x - 2/5

The points shown are plotted to create a scatter plot. Using the points (2,3) and (5,10), what is the slope of the trend line?

7/3

-3/7

1/4

Using the points (5,10) and the slope, what is the equation of the trend line in point slope form?

y = 7/3 x + 5

y - 10 = 7/3 ( x - 5)

y - 5 = 3/7 x - 10

Using the points (5,10) and the slope, what is the equation of the trend line in slope intercept form?

y = 7/3 x - 5/3

y = 7/3 x - 5

y  = 7/3 x + 5/4

The plot shows the relationship between the number of total points scored and the number of penalties. Using the points (7,4) and (2,8), what is the slope of the trend line?

5/6

-4/5

5/4

 Using the point (2,8), what is the slope of the trend line in slope intercept form?

y = 5/4 x + 16

y = -4/5 x -1/4

y = -4/5 x + 48/5

 Which statement is true?

The total points scored are likely to be greater as the number of penalties increase.

As the number of penalties increase, the total points scored decreases.

There is no correlation between total points scored and the number of penalties