DP Mathematical Studies Questionbank

• Syllabus

4.2

Sub sections and their related questions

Bivariate data: the concept of correlation.

• 10M.2.sl.TZ1.1b: Using your scatter diagram, describe the correlation between the number of different plant...
• 07M.2.sl.TZ0.1e: A sample of 15 of the fish was weighed. The weight, W was plotted against length, L as shown...
• 08M.2.sl.TZ1.3c: Comment on your value for \(r\).
• 08M.2.sl.TZ2.2ii.a: Plot these pairs of values on a scatter diagram. Use a scale of \(1{\text{ cm}}\) to represent...
• 08M.2.sl.TZ2.2ii.b: Write down the linear correlation coefficient, \(r\), for the data.
• 14N.2.sl.TZ0.1c: Interpret the relationship between \(x\) and \(T\) using your value of \(r\).
• 15M.2.sl.TZ2.6a: (i)     Write down the Pearson’s product–moment correlation coefficient, \(r\), for these...
• 16N.2.sl.TZ0.1a: On graph paper, draw a scatter diagram for these data. Use a scale of 2 cm to represent 5 hours...
• 16N.2.sl.TZ0.1b: (i)     \({\bar x}\), the mean number of hours spent on social media; (ii)     \({\bar y}\), the...
• 16N.2.sl.TZ0.1c: Plot the point \((\bar x,{\text{ }}\bar y)\) on your scatter diagram and label this point M.
• 16N.2.sl.TZ0.1d: Write down the value of \(r\), the Pearson’s product–moment correlation coefficient, for these data.
• 18M.1.sl.TZ2.1a: Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.
• 18M.1.sl.TZ2.1b: Draw the line of best fit, by eye, on the scatter diagram.
• 18M.1.sl.TZ2.1c: Using your line of best fit, estimate the physics test score for a student with a score of 20 in...

Scatter diagrams; line of best fit, by eye, passing through the mean point.

• 10M.2.sl.TZ1.1a: Draw a scatter diagram to show the data. Use a scale of 2 cm to represent 10 metres on the x-axis...
• 10M.2.sl.TZ1.1d: Plot the point (\(\bar x\), \(\bar y\)) on your scatter diagram. Label this point M.
• 10M.2.sl.TZ2.2a: Draw a scatter diagram of the data. Use 1 cm to represent 1 hour and 1 cm to represent 10 km.
• 10M.2.sl.TZ2.2c: Mark and label the point \(M(\bar t,{\text{ }}\bar d)\) on your scatter diagram.
• 10M.2.sl.TZ2.2d: Draw the line of best fit on your scatter diagram.
• 12M.1.sl.TZ2.3a: Write down the value of (i) a ; (ii) b .
• 12M.1.sl.TZ2.3b: The mean of the x values is 5 and the mean of the y values is 4. Draw the line of best fit on the...
• 12M.1.sl.TZ2.3c: Use your line of best fit to estimate the value of y when x = 6.5.
• 11M.2.sl.TZ1.1c: Plot the point \((\bar x{\text{, }}\bar y)\) on your scatter diagram and label this point M .
• 11M.2.sl.TZ1.1a: Draw a scatter diagram to show the above data. Use a scale of \(2{\text{ cm}}\) to represent...
• 13M.2.sl.TZ2.2a: Draw a scatter diagram to show the relationship between the mass of a chicken and its cooking...
• 07M.2.sl.TZ0.1e: A sample of 15 of the fish was weighed. The weight, W was plotted against length, L as shown...
• 11M.2.sl.TZ2.1B.a: Draw a labelled scatter diagram for this data. Use a scale of \(2{\text{ cm}}\) to represent...
• 11M.2.sl.TZ2.1B.c: Plot the point \({\text{M}}(\bar S{\text{, }}\bar F)\) on your scatter diagram.
• 13M.2.sl.TZ2.2d: Draw the line of best fit on the scatter diagram.
• 13M.2.sl.TZ2.2e: Using your line of best fit, estimate the cooking time, in minutes, for a 1.7 kg chicken.
• 08M.2.sl.TZ2.2ii.a: Plot these pairs of values on a scatter diagram. Use a scale of \(1{\text{ cm}}\) to represent...
• 13N.2.sl.TZ0.1a: Draw a scatter diagram for the above data. Use a scale of \(1\) cm to represent \(10\) km on the...
• 13N.2.sl.TZ0.1c: Plot and label the point \({\text{M }}(\bar x,{\text{ }}\bar y)\) on your scatter diagram.
• 14M.2.sl.TZ1.1b: On graph paper, draw a scatter diagram to show Barry’s results. Use a scale of 1 cm to represent...
• 14M.2.sl.TZ1.1d: Plot and label the point \({\text{M}}(\bar x,{\text{ }}\bar y)\) on your graph.
• 14N.2.sl.TZ0.1a: Draw the scatter diagram for the above data. Use a scale of 2 cm for 20 chirps on the horizontal...
• 14N.2.sl.TZ0.1f: Given that \(\bar x = 70\), draw the regression line \(T\) on \(x\) on your scatter diagram.
• 16N.2.sl.TZ0.1a: On graph paper, draw a scatter diagram for these data. Use a scale of 2 cm to represent 5 hours...
• 16N.2.sl.TZ0.1b: (i)     \({\bar x}\), the mean number of hours spent on social media; (ii)     \({\bar y}\), the...
• 16N.2.sl.TZ0.1c: Plot the point \((\bar x,{\text{ }}\bar y)\) on your scatter diagram and label this point M.
• 16N.2.sl.TZ0.1d: Write down the value of \(r\), the Pearson’s product–moment correlation coefficient, for these data.
• 17N.1.sl.TZ0.5a: Find the mean number of hours that the people surveyed watch television per week.
• 17N.1.sl.TZ0.5b: Draw the regression line on the scatter diagram.
• 17N.1.sl.TZ0.5c: By placing a tick (✔) in the correct box, determine which of the following statements is true:
• 17N.1.sl.TZ0.5d: Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the...
• 18M.1.sl.TZ2.1a: Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.
• 18M.1.sl.TZ2.1b: Draw the line of best fit, by eye, on the scatter diagram.
• 18M.1.sl.TZ2.1c: Using your line of best fit, estimate the physics test score for a student with a score of 20 in...

Pearson’s product–moment correlation coefficient, \(r \).

• 11N.1.sl.TZ0.4a: Write down the correlation coefficient, \(r\) , for the examination scores.
• 12N.2.sl.TZ0.1b: Write down the correlation coefficient, r.
• 09N.2.sl.TZ0.4A, b: The covariance, Sxy = 188.5. Write down the product-moment correlation coefficient, r.
• 11M.2.sl.TZ1.1d: Write down the product-moment correlation coefficient, \(r\) .
• 07M.2.sl.TZ0.1e: A sample of 15 of the fish was weighed. The weight, W was plotted against length, L as shown...
• 13M.2.sl.TZ1.3g: George decides to model the change in temperature of the coffee with a linear function using...
• 13M.2.sl.TZ2.2f: Write down the Pearson’s product–moment correlation coefficient, r .
• 13M.2.sl.TZ2.2g: Using your value for r , comment on the correlation.
• 13M.2.sl.TZ2.2h: The cooking time of an additional 2.0 kg chicken is recorded. If the mass and cooking time of...
• SPM.1.sl.TZ0.4b: Write down the value of \(r\), the Pearson’s product-moment correlation coefficient for this set...
• 07N.1.sl.TZ0.14c: Use your graphic display calculator to find the correlation coefficient r.
• 08N.1.sl.TZ0.11a: Write down the product moment correlation coefficient, \(r\).
• 08M.2.sl.TZ1.3b: Write down the correlation coefficient, \(r\), for the variables \(n\) and \(T\).
• 08M.2.sl.TZ2.2ii.b: Write down the linear correlation coefficient, \(r\), for the data.
• 14M.1.sl.TZ2.12b: Write down the value of the Pearson’s product–moment correlation coefficient, \(r\).
• 13N.2.sl.TZ0.1d: Use your graphic display calculator to find (i)     the product–moment correlation coefficient,...
• 14M.2.sl.TZ1.1e: Write down (i)     the Pearson’s product–moment correlation coefficient, \(r\), for Barry’s...
• 14N.2.sl.TZ0.1b: Use your graphic display calculator to write down the Pearson’s product–moment correlation...
• 15M.1.sl.TZ1.4a: Find (i)     Pearson’s product–moment correlation coefficient, \(r\); (ii)     the equation of...
• 15M.2.sl.TZ2.6a: (i)     Write down the Pearson’s product–moment correlation coefficient, \(r\), for these...
• 18M.1.sl.TZ2.1a: Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.
• 18M.1.sl.TZ2.1b: Draw the line of best fit, by eye, on the scatter diagram.
• 18M.1.sl.TZ2.1c: Using your line of best fit, estimate the physics test score for a student with a score of 20 in...

Interpretation of positive, zero and negative, strong or weak correlations.

• 07M.2.sl.TZ0.1e: A sample of 15 of the fish was weighed. The weight, W was plotted against length, L as shown...
• 13M.2.sl.TZ2.2g: Using your value for r , comment on the correlation.
• 13M.2.sl.TZ2.2h: The cooking time of an additional 2.0 kg chicken is recorded. If the mass and cooking time of...
• 07N.1.sl.TZ0.14d: Comment on your value for r.
• 08M.2.sl.TZ1.3c: Comment on your value for \(r\).
• 14N.2.sl.TZ0.1c: Interpret the relationship between \(x\) and \(T\) using your value of \(r\).
• 15M.2.sl.TZ2.6a: (i)     Write down the Pearson’s product–moment correlation coefficient, \(r\), for these...
• 17N.1.sl.TZ0.5a: Find the mean number of hours that the people surveyed watch television per week.
• 17N.1.sl.TZ0.5b: Draw the regression line on the scatter diagram.
• 17N.1.sl.TZ0.5c: By placing a tick (✔) in the correct box, determine which of the following statements is true:
• 17N.1.sl.TZ0.5d: Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the...
• 18M.1.sl.TZ2.1a: Plot and label the point M\(\left( {\bar m,\,\,\bar p} \right)\) on the scatter diagram.
• 18M.1.sl.TZ2.1b: Draw the line of best fit, by eye, on the scatter diagram.
• 18M.1.sl.TZ2.1c: Using your line of best fit, estimate the physics test score for a student with a score of 20 in...