DP Mathematical Studies Questionbank
Use of the regression line for prediction purposes.
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- 17M.2.sl.TZ2.3b.i: Write down, for this set of data the mean number of folders produced, \(\bar x\);
- 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.
- 10M.2.sl.TZ1.1g: Estimate the number of plant species growing 30 metres from the lake shore.
- 11N.1.sl.TZ0.4c: A sixth candidate scored 72 in the Mathematics examination. Use the regression line, \(y\) on...
- 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.TZ1.11b: 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.TZ2.2g.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, 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.TZ1.1f: 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.TZ2.6b: Use your equation to predict the ice cream sales on a day when the maximum temperature is 24 °C....
- 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.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...
- 07N.1.sl.TZ0.14b: Use your equation to estimate the number of objects remembered by a person aged 28 years.
- 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.TZ0.11c: 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.TZ2.12c: Use your regression equation to find the amount of time 4 cleaners take to clean the school.
- 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.TZ1.1g: Use the equation of the regression line \(y\) on \(x\) to estimate the circumference of a tree...
- 15M.1.sl.TZ1.4b: Use the equation of the regression line \(y\) on \(x\) to estimate the number of mosquitoes...
- 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.TZ2.6c: 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.TZ0.1e: 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...