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MUF0142 Fund. Mathematics Unit 2 - Semester 1, 2025

Multiple fill-in-the-blank

Question textGuidelines to answer the following question:Answer the following questions by filling in the blanks. If the answer requires a number, enter the number only. Do not use any spaces or brackets. If you get an error message saying you need to complete this question, please check the format of all your answers. [Total: 1 + 1 + 2 = 4 marks] A different research project is undertaken on animal brain activity. The following table shows the body weight and brain weight of seven different animals. a. Calculate r, Pearson’s correlation coefficient, for the given data, correct to 2 decimal places. Answer 1 Question 7[input] b. If we assume the relationship between body weight and brain weight is linear, what does the value in part a indicate about the strength of the relationship? Answer 2 Question 7[select: , It indicates a weak relationship between the given variables, It indicates a strong relationship between the given variables, It indicates no relationship between the given variables] The regression equation which relates body weight to brain weight is given as Brain weight = 0.000986 × Body weight + 0.0923 The body weight of a wolf is 36 kg. c. Use your regression equation to estimate the brain weight of a wolf in kg, correct to 3 decimal places by completing the following calculation. Brain Weight = 0.000986 × Answer 3 Question 7[input] + 0.0923 = Answer 4 Question 7[input]kg

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We begin by restating the task structure and the given data so we can reason through each blank in turn. The question asks for three things tied to a data set linking body weight and brain weight: - a) Pearson’s correlation coefficient r (to 2 decimals). - b) An interpretation of the strength of the linear relationship based on r. - c) Use of the given regression equation to estimate brain weight for a wolf with body weight 36 kg, filling two blanks in the calculation. Now, evaluating each answer option in turn: Option 1: 0.92 This value repre......Login to view full explanation

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