IB Questionbank Test
1a. [1 mark] Jim heated a liquid until it boiled. He measured the temperature of the liquid as it cooled. The following table shows its temperature, degrees Celsius, minutes after it boiled.Write down the independent variable.1b. [1 mark] Write down the boiling temperature of the liquid.1c. [2 marks] Jim believes that the relationship between and can be modelled by a linear regression equation.Jim describes the correlation as very strong. Circle the value below which best represents the correlation coefficient.1d. [2 marks] Jim’s model is , for . Use his model to predict the decrease in temperature for any 2 minute 4a. [3 marks] The maximum temperature , in degrees Celsius, in a park on six randomly selected days is shown in the following table. The table also shows the number of visitors, , to the park on each of those six days.The relationship between the variables can be modelled by the regression equation .Find the value of and of .4b. [1 mark] Write down the value of .4c. [3 marks] Use the regression equation to estimate the number of visitors on a day when the maximum temperature is 15 °C.7a. [4 marks] The following table shows the average number of hours per day spent watching television by seven mothers and each mother’s youngest child.The relationship can be modelled by the regression line with equation .(i) Find the correlation coefficient.(ii) Write down the value of and of .7b. [3 marks] Elizabeth watches television for an average of hours per day.Use your regression line to predict the average number of hours of television watched per day by Elizabeth’s youngest child. Give your answer correct to one decimal place.8. [4 marks] The following table shows the sales, millions of dollars, of a company, years after it opened.The relationship between the variables is modelled by the regression line with equation .(i) Find the value of and of .(ii) Write down the value of .13a. [2 marks] There are nine books on a shelf. For each book, x is the number of pages, and y is the selling price in pounds (?). Let r be the correlation coefficient.Write down the possible minimum and maximum values of r .13b. [1 mark] Given that , which of the following diagrams best represents the data.Answers ................
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