Stat116 002 test1_F23.ans

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Camosun College *

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116

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Statistics

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Feb 20, 2024

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1 STAT-116 002 Test 1 F2023 Name: _______________________________ Score: _____________ /25 The first 3 problems are multiple choice questions worth 1 point each. Circle the answer (only one) closest to yours. 1. Cindy wishes to describe the centre or the typical value of the distribution of the BC Assessment values of 2- bedroom condos in the city of Victoria. She obtained a sample which has some outliers. Which of the following statistics is the most appropriate to use? A) the mean B) the median C) the sample standard deviation D) the IQR 2. Suppose there are 38 students in STAT 218 B01. The 11 females’ average rent is $ 1040 /month and the 27 males’ average rent is $ 948 /month. The overall total (sum) and average of the monthly rent for this class are: A) (sum, average) = (37036, 975) B) (sum, average) = (37036, 994) C) (sum, average) = (1988, 975) D) (sum, average) = (1988, 994)) 3. Emily wishes to estimate the percentage of Camosun classes use Open Source textbooks. She first divides the College by program, then randomly selects 3 classes from each program to find out if they use Open Source textbooks. ” The sampling technique used in the description is A) Simple Random Sampling B) Stratified Sampling C) Cluster Sampling D) Multi-stage Sampling 4. The following are the costs of internet services for 7 randomly selected households in Saanich, after sorted in an increasing order: 62 71 83 89 112 118 125 Complete the following parts based on these sample data points given above. a. (7 points) Compute the following sample statistics (keep one decimal): Mean= _______________, Median =________________, Q1 = ________________, Q3 = _______________, IQR= ______________ Sample Standard deviation = __________________, Sample Variance = __________________ b. (2 points) Is “ 62 ” a low outlier? Use the 1.5(IQR) rule to justify your answer.
2 5. Let’s cons ider bear’s Head length and Body length based a sample of 20 bears. a) (2 point) Below is the scatterplot of 20 bears’ body length vs head length: Briefly describe the relationship between bear’s head length and body length. Make sure to include the strength, direction and form of the relationship as how we discussed in class. Below is a part of the Excel output of a regression analysis using bear’s head length to predict a bear’s body length . Please answer all the questions below based on the given Excel output. b) (2 point) Write out the linear regression equation using Head length to predict Body length (use 3 decimals) c) (1 point) The slope of the regression equation is _________________ d) (1 point) State the meaning of the slope value in the context of bear’ s head and body length. e) (1 point) The range of the head length in the sample used to obtain the regression equation in part b) is from 9 to 17 inches. Would it be appropriate to use the regression equation obtained in part b) to predict the body length of a bear whose head length is 15 ? Explain. (a Yes or No alone would not be an acceptable answer) 0 2 4 6 8 10 12 0 10 20 30 40 Head Neck Headwidth vs Neck circumference
3 f) (2 point) Suppose a particular bear’s head length and body length are 16 and 53 inches, respectively. Use the equation you found in part b) to predict this bear’s body length and then find the prediction error . g) (1 point) Is the Normality considtion satisfied for regression based on the Normal plot below? You must explain to get the mark. 6. (3 points) Is acupuncture effective in treating jaw pain? Suppose the table below summarizes an experiment on 134 patients suffering from jaw pain, with their jaw status (pain free or not) 24 hours after their treatments (acupuncture or placebo): Acupuncture Placebo Total Pain free 43 38 81 Not pain free 17 36 53 Total 60 74 134 a) The percent of the respondents who are pain free is ___________________ b) The percent of those received acupuncture treatment who are pain free is _________________ c) Does acupuncture seem to be effective in treating jaw pain? Explain based on answers from a) and b).
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