Construct a scatterplot from a data table

The maker predicts mass from length. Which measurement goes horizontally?

Sample C has length 5 cm and mass 28 g. What is its horizontal coordinate?

Sample C has length 5 cm and mass 28 g. What is its vertical coordinate?

Sample C should be at (5, 28), with length in centimetres horizontally and mass in grams vertically. Predict the two corrections from its starting position, then move C until both error readouts are zero

What does moving C horizontally change?

Which recorded pair matches sample B in the table?

Why are the points in this scatterplot not joined in table order?

A point is placed at (5, 32) for sample C. Its recorded pair is (5, 28). What needs correcting?

The table rows are reordered D, B, A, C while each pair stays intact. How should the scatterplot change?

One axis uses 1 cm per grid interval; the other uses 10 g per interval. Is that allowed?

Two samples both have length 4 cm and mass 32 g. What happens when both are plotted accurately?

Construct and check a new plot

On paper, plot four sample pairs: length 1 cm with mass 12 g; 3 cm with 26 g; 4 cm with 22 g; 6 cm with 45 g. Predict mass from length

1. 1Axes and scales Length is horizontal and mass vertical. Label units and use uniform scales that include every point
2. 2Four pairs Check (1,12), (3,26), (4,22) and (6,45), without joining them
3. 3Review limit Compare your drawing against these criteria yourself or with a teacher. The app does not inspect your paper drawing

Produce a complete scatterplot from paired records

The nine paired records (duration in minutes, items recorded) are 01: (4.2,3); 02: (5.1,4); 03: (3.5,2); 04: (6,5); 05: (5.4,4); 06: (4.6,3); 07: (2.8,1); 08: (6.7,6); 09: (4.6,3). The investigation uses duration to help explain the number of items. Draw a complete scatterplot on a 0–8-minute horizontal axis and a 0–7-item vertical axis

1. 1Construct and check State the roles and numerical variable types. Use uniform scales within each axis, label variables and units, preserve every ID’s pair and do not join independent cases in row order. Annotate overlapping cases without moving their true coordinates. Give the recorded x/y ranges and count both records and visible positions
2. 2Correct and convert A draft places ID05 at (4,5.4). Locate and correct the error using the record. Re-express duration in seconds, choose a corresponding 0–480-second window and explain what changes and what stays the same. Reorder whole rows and verify the same points remain
3. 3Choose and verify technology Choose an XY scatter function with separate numerical x and y inputs. Record the paired column ranges, units, window, tick spacing, point-only style and treatment of overlap. Verify all nine source rows against the plotted coordinates, including IDs05,06,09, rather than checking only the number of visible markers
4. 4Complete before continuing Save your complete labelled plots, written report and technology record before opening the model response. Complete drawing, writing and external-tool execution are not automatically marked; use self or teacher review

Model response: nine cases, eight positions

Duration is the continuous numerical explanatory variable, recorded to 0.1 minute. Items recorded is the discrete numerical response. For IDs 01–09 respectively, plot (4.2,3),(5.1,4),(3.5,2),(6,5),(5.4,4),(4.6,3),(2.8,1),(6.7,6),(4.6,3), with duration horizontally and items vertically. There are nine records and eight distinct coordinate positions; IDs06 and09 coincide

1. 1Scale, labels and correction A suitable window is x=0–8 minutes and y=0–7 items, with one-minute major ticks and minor divisions that allow tenths. Use integer item ticks. The observed duration range is 2.8–6.7 minutes; item values range from 1 to 6. Correct ID05 from the transposed (4,5.4) to (5.4,4). Keep a multiplicity annotation for the coincident pair. Reordering complete rows cannot change the coordinate multiset
2. 2Unit conversion Multiplying duration by 60 gives seconds 252,306,210,360,324,276,168,402,276 in ID order. Plot them on 0–480 seconds with the same item values. This consistent positive rescaling changes horizontal numbers and units but preserves ordering, coincidence and the association. It does not create or remove records
3. 3One reproducible workflow Enter ID,Minutes,Items in rows01–09. Select Minutes as X and Items as Y in an XY point plot; avoid an equally spaced category-axis line chart. Set the specified windows and labels, retain every paired row, and annotate the double observation at (4.6,3). Independently compare the exported point coordinates with the nine input pairs, not just marker count. In a new Seconds column, multiply each Minutes value by 60, then verify that ID05 is at (324,4) and both overlapping cases are at (276,3)

This plot has eight distinct marker positions. How many participant records does it represent?

Minutes are converted to seconds by multiplying every horizontal coordinate by 60. Which conclusion is justified?