DP Mathematical Studies Questionbank

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• 18M.1.sl.TZ1.4b: Using the equation of the regression line, estimate the concentration of dissolved oxygen in the...
• 18M.1.sl.TZ1.4a.ii: For these data, find the equation of the regression line y on x.
• 18M.1.sl.TZ1.4a.i: For these data, find Pearson’s product-moment correlation coefficient, r.
• 17N.1.sl.TZ0.5c: By placing a tick (✔) in the correct box, determine which of the following statements is true:
• 17N.1.sl.TZ0.5a: 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.
• 16N.2.sl.TZ0.1d: Write down the value of \(r\), the Pearson’s product–moment correlation coefficient, for these data.
• 16N.2.sl.TZ0.1b: (i)     \({\bar x}\), the mean number of hours spent on social media; (ii)     \({\bar y}\), the...
• 17M.2.sl.TZ2.3h: Use the equation of the regression line to estimate the least number of folders that the factory...
• 17M.2.sl.TZ2.3g: Draw the regression line \(C\) on \(x\) on the scatter diagram.
• 17M.2.sl.TZ2.3f: Use your graphic display calculator to find the equation of the regression line \(C\) on \(x\).
• 17M.2.sl.TZ2.3e: State a reason why the regression line \(C\) on \(x\) is appropriate to model the relationship...
• 17M.2.sl.TZ2.3d: Use your graphic display calculator to find the Pearson’s product–moment correlation coefficient,...
• 17M.2.sl.TZ2.3c: Label the point \({\text{M}}(\bar x,{\text{ }}\bar C)\) on the scatter diagram.
• 17M.2.sl.TZ2.3b.ii: Write down, for this set of data the mean production cost, \(\bar C\).
• 17M.2.sl.TZ2.3b.i: Write down, for this set of data the mean number of folders produced, \(\bar x\);
• 17M.2.sl.TZ2.3a: Draw a scatter diagram for this data. Use a scale of 2 cm for 5000 folders on the horizontal axis...
• 17M.2.sl.TZ1.1f: State whether it is valid to use the regression line to estimate the average weight of the brain...
• 17M.2.sl.TZ1.1e: Find the percentage error in your estimate in part (d).
• 17M.2.sl.TZ1.1d: Use your regression line to estimate the average weight of the brain of grey wolves.
• 17M.2.sl.TZ1.1c: Write down the equation of the regression line \(y\) on \(x\), in the form \(y = mx + c\).
• 17M.2.sl.TZ1.1b.ii: For the data from these seven species describe the correlation between the average body weight...
• 17M.2.sl.TZ1.1b.i: For the data from these seven species calculate \(r\), the Pearson’s product–moment correlation...
• 17M.2.sl.TZ1.1a: Find the range of the average body weights for these seven species of mammal.
• 16M.2.sl.TZ1.1d: Ernesto’s school is located \(14\,{\text{km}}\) from the power plant. He uses the equation of...
• 16M.2.sl.TZ1.1c: Write down the equation of the regression line \(y\) on \(x\) .
• 16M.2.sl.TZ1.1b: Calculate i)      \({\bar x}\) , the mean distance from the power plant; ii)     \({\bar y}\) ,...
• 16M.2.sl.TZ1.1a: For an ecological study, Ernesto measured the average concentration \((y)\) of the fine...
• 16N.2.sl.TZ0.1h: Write down a reason why this estimate is not reliable.
• 16N.2.sl.TZ0.1g: Use the given equation of the regression line to estimate the number of IB Diploma points that...
• 16N.2.sl.TZ0.1f: Draw the regression line, from part (e), on your scatter diagram.
• 16N.2.sl.TZ0.1e: Write down the equation of the regression line \(y\) on \(x\) for these eight male students.
• 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.TZ0.1a: On graph paper, draw a scatter diagram for these data. Use a scale of 2 cm to represent 5 hours...
• 10M.2.sl.TZ1.1e: Write down the equation of the regression line y on x for the above data.
• 10M.2.sl.TZ1.1f: Draw the regression line y on x on your scatter diagram.
• 10M.2.sl.TZ1.1g: Estimate the number of plant species growing 30 metres from the lake shore.
• 11N.1.sl.TZ0.4b: Write down the equation of the regression line, \(y\) on \(x\) , for the examination scores of...
• 11N.1.sl.TZ0.4c: A sixth candidate scored 72 in the Mathematics examination. Use the regression line, \(y\) on...
• 12N.2.sl.TZ0.1c: Write down the equation of the regression line of y on x.
• 12N.2.sl.TZ0.1d: Another golfer scored 70 in Round 1. Calculate an estimate of his score in Round 2.
• 12N.2.sl.TZ0.1e: Another golfer scored 89 in Round 1. Determine whether you can use the equation of the...
• 12M.1.sl.TZ1.11a: Use your graphic display calculator to write down the equation of the regression line for y on x...
• 12M.1.sl.TZ1.11b: Use your equation to estimate the number of calories that a person will burn during a 17 minute...
• 12M.1.sl.TZ1.11c: State whether your answer to part (b) is reliable. Give a reason for your answer.
• 10M.2.sl.TZ2.2e: Using your graph, estimate the time when Alex and Kris pass the 85 km distance marker. Give your...
• 10M.2.sl.TZ2.2f: Write down the equation of the regression line for the data given.
• 10M.2.sl.TZ2.2g.i: Using your equation calculate the distance marker passed by the cyclists at 10.3 hours.
• 12M.1.sl.TZ2.3c: Use your line of best fit to estimate the value of y when x = 6.5.
• 09N.2.sl.TZ0.4A, c: Write down the equation of the regression line of y on x.
• 09N.2.sl.TZ0.4A, d: If the number of trees in an area is 55, estimate the depth of snow.
• 09N.2.sl.TZ0.4A, e, i: Use the equation of the regression line to estimate the depth of snow in an area with 100 trees.
• 11M.2.sl.TZ1.1e: The equation of the regression line \(y\) on \(x\) is \(y = - 0.470x + 83.7\) . Draw the...
• 11M.2.sl.TZ1.1f: The equation of the regression line \(y\) on \(x\) is \(y = - 0.470x + 83.7\) . Estimate the heat...
• 11M.2.sl.TZ1.1g: The equation of the regression line \(y\) on \(x\) is \(y = - 0.470x + 83.7\) . State, with a...
• 09M.1.sl.TZ2.6a: Write down the equation of the regression line for s on t.
• 09M.1.sl.TZ2.6b: Use your equation to predict the ice cream sales on a day when the maximum temperature is 24 °C....
• 13M.2.sl.TZ1.3g: George decides to model the change in temperature of the coffee with a linear function using...
• 13M.2.sl.TZ1.3h: Use the equation of the regression line to estimate the temperature of the coffee at t = 3.
• 11M.2.sl.TZ2.1B.d: Use your graphic display calculator to find the equation of the regression line of \(F\) on \(S\)...
• 11M.2.sl.TZ2.1B.e: Draw the regression line on your scatter diagram.
• 11M.2.sl.TZ2.1B.f: Carletta’s mark on the Science examination was \(44\). She did not sit the French examination....
• 11M.2.sl.TZ2.1B.g: Monique’s mark on the Science examination was 85. She did not sit the French examination. Her...
• SPM.1.sl.TZ0.4c: Draw the regression line for \(y\) on \(x\) on the set of axes above.
• 07M.2.sl.TZ0.1e: A sample of 15 of the fish was weighed. The weight, W was plotted against length, L as shown...
• 07N.1.sl.TZ0.14b: Use your equation to estimate the number of objects remembered by a person aged 28 years.
• 07N.1.sl.TZ0.14a: Use your graphic display calculator to find the equation of the regression line of y on x.
• 08N.1.sl.TZ0.11d: Give a reason why it is valid to use this regression line to estimate the score on the Chemistry...
• 08N.1.sl.TZ0.11b: Write down, in the form \(y = mx + c\) , the equation of the regression line \(y\) on \(x\) for...
• 08N.1.sl.TZ0.11c: A ninth candidate obtained a score of \(7\) in the Physics test but was absent for the Chemistry...
• 08M.2.sl.TZ1.3e: On a day when the temperature was \({36^ \circ }\) Peter calculates that \(314\) bottles would be...
• 08M.2.sl.TZ1.3d: The equation of the line of regression for \(n\) on \(T\) is \(n = dT - 100\). (i)     Write...
• 08M.2.sl.TZ2.2ii.c: Stephen wishes to buy a paperback book which has \(350\) pages in it. He plans to draw a line of...
• 09N.2.sl.TZ0.4A, e, ii: Decide whether the answer in (e)(i) is a valid estimate of the depth of snow in the area. Give a...
• 10M.2.sl.TZ2.2g.ii: Is this estimate of the distance reliable? Give a reason for your answer.
• 14M.1.sl.TZ2.12a: Use your graphic display calculator to write down the equation of the regression line \(t\) on...
• 14M.1.sl.TZ2.12c: Use your regression equation to find the amount of time 4 cleaners take to clean the school.
• 13N.2.sl.TZ0.1e: Draw the regression line \(y\) on \(x\) on your scatter diagram.
• 13N.2.sl.TZ0.1d: Use your graphic display calculator to find (i)     the product–moment correlation coefficient,...
• 13N.2.sl.TZ0.1f: A ninth regional station is \(76\) km from the city centre terminus. Use the equation of the...
• 13N.2.sl.TZ0.1g: Give a reason why it is valid to use your regression line to estimate the price of this return...
• 14M.2.sl.TZ1.1e: Write down (i)     the Pearson’s product–moment correlation coefficient, \(r\), for Barry’s...
• 14M.2.sl.TZ1.1f: Draw the regression line \(y\) on \(x\) on your graph.
• 14M.2.sl.TZ1.1g: Use the equation of the regression line \(y\) on \(x\) to estimate the circumference of a tree...
• 17N.1.sl.TZ0.5d: Diogo is 18 years old. Give a reason why the regression line should not be used to estimate the...
• 15M.1.sl.TZ1.4b: Use the equation of the regression line \(y\) on \(x\) to estimate the number of mosquitoes...
• 15M.1.sl.TZ1.4a: Find (i)     Pearson’s product–moment correlation coefficient, \(r\); (ii)     the equation of...
• 15M.2.sl.TZ2.6d: All the bicycles that are produced are sold. The bicycles are sold for 304 USD each. Explain why...
• 15M.2.sl.TZ2.6b: Write down the equation of the regression line \(y\) on \(x\) for these data, in the form...
• 15M.2.sl.TZ2.6c: Estimate the total cost, to the nearest USD, of producing \(13\) bicycles on a particular day.
• 15M.2.sl.TZ2.6e: All the bicycles that are produced are sold. The bicycles are sold for 304 USD each. (i)    ...
• 14N.2.sl.TZ0.1d: Use your graphic display calculator to write down the equation of the regression line \(T\) on...
• 14N.2.sl.TZ0.1f: Given that \(\bar x = 70\), draw the regression line \(T\) on \(x\) on your scatter diagram.
• 14N.2.sl.TZ0.1e: Calculate the air temperature when the cricket’s chirp rate is \(70\).
• 14N.2.sl.TZ0.1h: A cricket makes 20 chirps in 15 seconds. For this chirp rate (i)     calculate an estimate for...