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QUESTION 8 The following scatterplot shows a linear association between two numerical variables. 30 25 20 y 15 10 Choose the best description for the direction and strength of the association. (A) strong positive (B) strong negative (C) weak positive (D) weak negative
QUESTION 2 (5 marks) The number of people living in each household and the average daily household water usage measured in litres (L) were recorded for 10 households. Number of people average dailyhousehold 160 | 320 | 480 | 410 | 280 | 240 | 130 | 940 | 1340 water usage (L) Calculate Pearson’s correlation coefficient and then evaluate the appropriateness of using this coefficient for the association between daily water usage and the number of people living in a household. 1400 1200 1000 800 600 400 200 Average daily household water usage (L) 0 1 2 3 4 5 6 7 8 Number of people in each household
QUESTION 16 (4 marks) The table shows the values of bivariate data with variables g and 4. a) Construct a scatterplot of the data with g as the explanatory variable. [2 marks] 11 10 0 1 2 3 4 5 6 7 8 9 10 11 b) Describe the association in terms of form and strength. [2 marks]
QUESTION 12 Identify the scatterplot that best demonstrates a strong negative association. A) (B) o'.. o'.. o'.. o... o... C) & (D) ° ‘: .. ° o . o o e o “o ° ° > 3o 0o ©® o oo ° % Y : ..0 ..O ° o
QUESTION 24 (5 marks) The maximum temperature and the number of pies sold each day at a bakery are provided in the table. Maximum e [ [ [ » [ [ [ ] a) Construct a scatterplot to display the data on the grid provided. [3 marks] b) Describe the association between the maximum temperature and the number of pies sold in terms of direction and strength. [2 marks]
QUESTION 1 A linear association with a correlation coefficient of 0.23 is best described as (A) weak positive. (B) weak negative. (C) strong positive. (D) strong negative.
QUESTION 22 (4 marks) A person used a fitness tracker to monitor their hours of sleep and the distance they travelled each day. Sleep (hours) Distance (km) a) Using distance as the response variable display the data in a scatterplot with labelled axes. [3 marks] a a a a b) Identify the direction of the association between hours of sleep and distance travelled. [1 mark]
QUESTION 4 (5 marks) Hiroki believes that more fish are caught on warmer days. Jiro believes that the number of fish caught in a day is more dependent on the number of people fishing. Bivariate datasets for six days are shown. Temperature ¢ (°C) Number of fish caught f Calculate the correlation coefficient for each dataset and use the results to identify the explanatory variable for the stronger linear association. Use the least-squares line equation for the stronger linear association to predict the number of fish caught on a 25 °C day when 50 people are fishing.
QUESTION 8 (3 marks) A teacher wants to know the best way for their students to improve their marks. They surveyed a sample of students who graduated last year and asked them three questions: « What was the overall mark you achieved on the final assessment? * On a typical night how many hours sleep would you get? * During a typical school term how many classes did you miss? They obtained the following data: Overall percentage mark (%) Construct a mathematical argument to determine which explanatory variable is the better predictor for the overall mark.
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