The table gives the length and width of 10 oak leaves that fell to the ground. Length (mm) Width (mm) 103 38 146 44 119 38 149 53 89 36 135 38 151 51 147 43 123 33 128 42 Represent the data on a scatter diagram, with length on the x - axis and width on the y - axis.

We have to represent the data on a scatter diagram, with length on the x-axis and width on the y-axis. Calculate the mean length x ¯ = 103 + 146 + 119 + 149 + 89 + 135 + 151 + 147 + 123 + 128 10 = 1290 10 = 129 Calculate the mean width y ¯ = 38 + 44 + 38 + 53 + 36 + 38 + 51 + 43 + 33 + 42 10 = 416 10 = 41 . 6 Plot the point M = ( 129 , 41 . 6 ) on the scatter diagram. Draw a line through M = ( 129 , 41 . 6 ) 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 gives the length and width of 10 oak leaves that fell to the ground. Length (mm) Width (mm) 103 38 146 44 119 38 149 53 89 36 135 38 151 51 147 43 123 33 128 42 Comment on the correlation between length and width of the leaves.

We have to represent the data on a scatter diagram, with length on the x-axis and width on the y-axis. Calculate the mean length x ¯ = 103 + 146 + 119 + 149 + 89 + 135 + 151 + 147 + 123 + 128 10 = 1290 10 = 129 Calculate the mean width y ¯ = 38 + 44 + 38 + 53 + 36 + 38 + 51 + 43 + 33 + 42 10 = 416 10 = 41 . 6 Plot the point M = ( 129 , 41 . 6 ) on the scatter diagram. Draw a line through M = ( 129 , 41 . 6 ) 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 This graph show moderate positive correlation.

The table gives the length and width of 10 oak leaves that fell to the ground. Length (mm) Width (mm) 103 38 146 44 119 38 149 53 89 36 135 38 151 51 147 43 123 33 128 42 By finding the mean length and mean width, draw a line of best fit.

We have to represent the data on a scatter diagram, with length on the x-axis and width on the y-axis. Calculate the mean length x ¯ = 103 + 146 + 119 + 149 + 89 + 135 + 151 + 147 + 123 + 128 10 = 1290 10 = 129 Calculate the mean width y ¯ = 38 + 44 + 38 + 53 + 36 + 38 + 51 + 43 + 33 + 42 10 = 416 10 = 41 . 6 Plot the point M = ( 129 , 41 . 6 ) on the scatter diagram. Draw a line through M = ( 129 , 41 . 6 ) 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 = 129 and read off the y - value.

MEDIUM

MYP:4-5

IMPORTANT

Earn 100

Students weigh sets of drawing pins and record the number of pins and their total weight in grams. Here is their data:

Number of pins 7 13 17 20 24 24 28 29 31 33

Weight (g) 5 7 11 10 14 15 16 9 11 20

The students work in two groups to calculate the mean weight of a drawing pin.

Group $1$ finds the total weight of the drawing pins and divides by the number of drawing pins. Use this method to calculate the mean weight.

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

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 4>Q 4

Students weigh sets of drawing pins and record the number of pins and their total weight in grams. Here is their data:

Number of pins	$7$	$13$	$17$	$20$	$24$	$24$	$28$	$29$	$31$	$33$
Weight(g)	$5$	$7$	$11$	$10$	$14$	$15$	$16$	$9$	$11$	$20$

The students work in two groups to calculate the mean weight of a drawing pin.

Group $2$ draws a scatter diagram. Draw a scatter diagram with number of pins on the x-axis and weight on the $y -$ axis. Find the line of best fit.

MEDIUM

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 4>Q 4

Students weigh sets of drawing pins and record the number of pins and their total weight in grams. Here is their data:

Number of pins	7	13	17	20	24	24	28	29	31	33
Weight (g)	5	7	11	10	14	15	16	9	11	20

The students work in two groups to calculate the mean weight of a drawing pin.

Group 2 decide that two of the weights are unreliable. Remove the unreliable data and find a new line of best fit. Use it to find the mean weight of a drawing pin.

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 4>Q 4

Students weigh sets of drawing pins and record the number of pins and their total weight in grams. Here is their data:

Number of pins	7	13	17	20	24	24	28	29	31	33
Weight (g)	5	7	11	10	14	15	16	9	11	20

The students work in two groups to calculate the mean weight of a drawing pin.

Determine which group's method gives the most reliable estimate of the mean weight of a drawing pin.

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)>Mixed practice>Q 1

The table gives the length and width of $10$ oak leaves that fell to the ground.

Length (mm)	Width (mm)
103	38
146	44
119	38
149	53
89	36
135	38
151	51
147	43
123	33
128	42

Represent the data on a scatter diagram, with length on the $x -$ axis and width 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)>Mixed practice>Q 1

The table gives the length and width of 10 oak leaves that fell to the ground.

Length (mm)	Width (mm)
103	38
146	44
119	38
149	53
89	36
135	38
151	51
147	43
123	33
128	42

Comment on the correlation between length and width of the leaves.

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)>Mixed practice>Q 1

The table gives the length and width of $10$ oak leaves that fell to the ground.

Length (mm)	Width (mm)
103	38
146	44
119	38
149	53
89	36
135	38
151	51
147	43
123	33
128	42

By finding the mean length and mean width, draw a line of best fit.

EASY

MYP:4-5

IMPORTANT

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

Explain what the mistakes in the statement about correlation.

'There is a high correlation between the income of workers and their gender.'

EASY

MYP:4-5

IMPORTANT

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

Explain what the mistakes in the statement about correlation.

'There is a strong correlation between the age of Miss America and the number of murders using hot objects between $1999$ and $2009$ .'

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

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