The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Draw scatter diagram: Plot height on the x - axis and weight on the y - axis.

We have to draw the scatter diagram Calculate the mean height x = 1 . 64 + 1 . 50 + 1 . 67 + 1 . 75 + 1 . 45 + 1 . 35 + 1 . 87 + 1 . 67 + 1 . 56 + 1 . 70 10 = 1 . 616 Calculate the mean weight y = 60 + 60 + 64 + 76 + 48 + 45 + 75 + 75 + 52 + 60 10 = 61 . 5 Plot the point M = ( 1 . 616 , 61 . 5 ) on the scatter diagram. Draw a line through M = ( 1 . 616 , 61 . 5 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Draw scatter diagram: Plot weight on the x - axis and reaction distance on the y - axis.

We have to draw the scatter diagram Calculate the mean weight x = 60 + 60 + 64 + 76 + 48 + 45 + 75 + 75 + 52 + 60 10 = 61 . 5 Calculate the mean distance y = 5 . 3 + 4 . 6 + 7 . 7 + 3 . 7 + 4 . 6 + 3 . 6 + 4 . 2 + 4 . 8 + 5 . 3 + 4 . 6 10 = 4 . 84 Plot the point M = ( 61 . 5 , 4 . 84 ) on the scatter diagram. Draw a line through M = ( 61 . 5 , 4 . 84 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Draw scatter diagram: Plot reaction distance on the x - axis and fastening time on the y - axis.

We have to draw the scatter diagram Calculate the mean distance x ¯ = 5 . 3 + 4 . 6 + 7 . 7 + 3 . 7 + 4 . 6 + 3 . 6 + 4 . 2 + 4 . 8 + 5 . 3 + 4 . 6 10 = 4 . 84 Calculate the mean time y ¯ = 9 . 1 + 10 . 5 + 13 . 4 + 9 . 6 + 10 . 5 + 9 . 2 + 8 . 8 + 8 . 5 + 10 . 4 + 6 . 3 10 = 9 . 63 Plot the point M = ( 4 . 84 , 9 . 63 ) on the scatter diagram. Draw a line through M = ( 4 . 84 , 9 . 63 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Draw scatter diagram: Plot height on the x - axis and fastening time on the y - axis.

We have to draw the scatter diagram Calculate the mean height x = 1 . 64 + 1 . 50 + 1 . 67 + 1 . 75 + 1 . 45 + 1 . 35 + 1 . 87 + 1 . 67 + 1 . 56 + 1 . 70 10 = 1 . 616 Calculate the mean time y ¯ = 9 . 1 + 10 . 5 + 13 . 4 + 9 . 6 + 10 . 5 + 9 . 2 + 8 . 8 + 8 . 5 + 10 . 4 + 6 . 3 10 = 9 . 63 Plot the point M = ( 1 . 616 , 9 . 63 ) on the scatter diagram. Draw a line through M = ( 1 . 616 , 9 . 63 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Draw a line of best fit on each scatter diagram.

We have to draw a line of best fit on each scatter diagram. Draw a line from x = 1 . 616 and read off the y - value Draw a line from x = 61 . 5 and read off the y - value Draw a line from x = 4 . 84 and read off the y - value Draw a line from x = 1 . 616 and read off the y - value

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Comment on the form, direction and strength of the correlation in each scatter diagram.

We have to comment on the form, direction and strength of the correlation in each scatter diagram. Strong positive linear correlation No correlation Weak positive correlation Weak positive correlation

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Use the line of best fit to estimate the weight of a person who is 1 . 68 m tall.

We have to draw the scatter diagram Calculate the mean height x = 1 . 64 + 1 . 50 + 1 . 67 + 1 . 75 + 1 . 45 + 1 . 35 + 1 . 87 + 1 . 67 + 1 . 56 + 1 . 70 10 = 1 . 616 Calculate the mean weight y = 60 + 60 + 64 + 76 + 48 + 45 + 75 + 75 + 52 + 60 10 = 61 . 5 Plot the point M = ( 1 . 616 , 61 . 5 ) on the scatter diagram. Draw a line through M = ( 1 . 616 , 61 . 5 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is Draw a line x = 1 . 68 and read off the y - value We get the weight of person 65 kg .

The table shows data on 10 students: Reaction distance, in a test to measure visual responses Height, in meters Weight, in kilograms Time, in seconds, taken to fasten their shoelaces. A B C D E F G H I J Reaction distance (cm) 5.3 4.6 7.7 3.7 4.6 3.6 4.2 4.8 5.3 4.6 Height (m) 1.64 1.50 1.67 1.75 1.45 1.35 1.87 1.67 1.56 1.70 Weight (kg) 60 60 64 76 48 45 75 75 52 60 Fastening time (s) 9.1 10.5 13.4 9.6 10.5 9.2 8.8 8.5 10.4 6.3 Use the line of best fit to estimate the reaction distance of a student who took 12 seconds to fasten their shoelaces.

We have to draw the scatter diagram Calculate the mean distance x ¯ = 5 . 3 + 4 . 6 + 7 . 7 + 3 . 7 + 4 . 6 + 3 . 6 + 4 . 2 + 4 . 8 + 5 . 3 + 4 . 6 10 = 4 . 84 Calculate the mean time y ¯ = 9 . 1 + 10 . 5 + 13 . 4 + 9 . 6 + 10 . 5 + 9 . 2 + 8 . 8 + 8 . 5 + 10 . 4 + 6 . 3 10 = 9 . 63 Plot the point M = ( 4 . 84 , 9 . 63 ) on the scatter diagram. Draw a line through M = ( 4 . 84 , 9 . 63 ) and through the middle of the other points. The points should be evenly distributed above and below the line. Thus, the required scatter diagram is Draw a line x = 12 and read off the y - value We get the reaction distance of student 7 . 1 cm .

For each scatter plot describe the form direction and strength of the association between the variables Interpret your description in the context of the data

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms

Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Draw scatter diagram:

Plot height on the $x -$ axis and weight on the $y -$ axis.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Draw scatter diagram:

Plot weight on the $x -$ axis and reaction distance on the $y -$ axis.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Draw scatter diagram:

Plot reaction distance on the $x -$ axis and fastening time on the $y -$ axis.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Draw scatter diagram:

Plot height on the $x -$ axis and fastening time on the $y -$ axis.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Draw a line of best fit on each scatter diagram.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Comment on the form, direction and strength of the correlation in each scatter diagram.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on $10$ students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Use the line of best fit to estimate the weight of a person who is $1.68 m$ tall.

HARD

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 7 - How did that Happen? (Scatter Graphs and Linear Regression)>Practice 2>Q 1

The table shows data on 10 students:

Reaction distance, in a test to measure visual responses
Height, in meters
Weight, in kilograms
Time, in seconds, taken to fasten their shoelaces.

	A	B	C	D	E	F	G	H	I	J
Reaction distance (cm)	5.3	4.6	7.7	3.7	4.6	3.6	4.2	4.8	5.3	4.6
Height (m)	1.64	1.50	1.67	1.75	1.45	1.35	1.87	1.67	1.56	1.70
Weight (kg)	60	60	64	76	48	45	75	75	52	60
Fastening time (s)	9.1	10.5	13.4	9.6	10.5	9.2	8.8	8.5	10.4	6.3

Use the line of best fit to estimate the reaction distance of a student who took 12 seconds to fasten their shoelaces.

For each scatter plot, describe the form, direction and strength of the association between the variables. Interpret your description in the context of the data.

Important Questions on How did that Happen? (Scatter Graphs and Linear Regression)

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