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- Question one It has been noted that the amount of time people spend shopping in supermarkets has decreased due to the global pandemic. Based on this realization, the manager of Power Supermarket decided to collect data for the length of time people spend in his supermarket during a one week period. He is aiming to use the data to help him decide if the supermarket should be converted to a virtual supermarket/a delivery based one. a. Use the information below to construct two frequency polygons. b. Do you think that Power Supermarket should close their doors? Explain your answer. *Assume that a person who spends more time in a supermarket buys a lot of goods and a person who spends a short time in a supermarket, buys few goods. Before the pandemic: After the pandemic Time Frequency 1-5 50 25 22 6-10 11-15 16-20 20-25 25-30 30-35 80 60 45 35 Time Frequency 1-5 6-10 30 65 11-15 45 16-20 50 20-25 35 25-30 40 30-35 35The plots below were created using the Galton data set from the mosaic package. For each, provide R code that will create the plot. (Do not customize colors or labels or do other fancy things; just give the code to make the basic plot exactly as shown.) Plot 1: M 0.15- 0.10 - 0.05 - 0.00 - 60 75 60 height 55 65 70 855 65 70 75 80 R code: Plot 2: M- F- ... 70 65 height 55 60 75 80 R code: Áusuep xəsCalculate the coefficient of skewness from the data as follows. Hours No. of Tubes 300-400 14 400-500 46 500-600 58 600-700 76 700-800 68 800-900 62 900-1000 48 1000-1100 22 1100-1200 6
- Create a histogram for each set of data. For the first two problems, the frame is set up for you. For #3, YOU will need to determine the best ways to number the axes. Don't forget to include a title as well! Daily high temperature in degrees Fahrenheit: 63 70 64 71 70 62 68 67 68 72 65 62 59 58 60 59 56 53 51 55 56 50 53 57 55 50 46 49 46 52 48 Frequency Table: Interval # of values 40-44 45-49 50-54 55-59 60-64 65-69 70-74 2. Test scores, out of 100 points 92 84 95 77 74 80 95 70 66 73 68 90 78 64 72 78 76 65 59 71 77 92 91 89 74 76 90Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between and y by using the simple linear regression model Yį = ßo + ß₁ x; + Eį. Table H.1 Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Lower Bound B Std. Error Beta Sig. Upper Bound Model 1 (Constant) -6.190 -23.508 11.128 Temperature 2.331 1.602 3.059 a. Dependent Variable: Frequency Table H.2 Model Summary Model R Square R .846ª 1 .715 a. Predictors: (Constant), Temperature b. Dependent Variable: Frequency Adjusted R Square 8.243 .347 .699 Std. Error of the Estimate 2.82159…Use the data given in the three scenarios below to produce scatter plots, determine the type of model demonstrated in each example and then answer the questions based on the graph you created. Scenario 1 Rescue 911 In a rural community, fire and paramedic crews must service a large region. They often cover 2 or 3 towns several kilometres apart. These crews travel, on average, 70 km/h to their destination. The Chief of Station 42 wants to determine the time required to reach the patient's home (response time) for his region. The station is located next to the local hospital. The Chief knows the distances to each community that he services, including Deerborn, the furthest community, at 55 km away. Using the data below, create a scatter plot showing the relationship between distance to patient and response time. Distance to Patient (km) Response Time (minutes) 10 8.6 15 12.9 40 34.3 50 42.9 55 47.1
- For each of the following, you will need to draw a sketch of a histogram (it can be a rough sketch)and explain your drawing. For each histogram sketch, consider the x-axis to be prices grouped bycategory, and consider the y-axis to be frequency. The prices can represent whatever type of itemmakes sense for your example.a. Sketch a histogram which shows a data set that is skewed to the left. Explain the features ofyour sketch which make it left-skewed. Describe an example of a type of data set whichmight have this shape.b. Sketch a histogram which shows a data set that is skewed to the right. Explain the features ofyour sketch which make it right-skewed. Describe an example of a type of data set whichmight have this shape.c. Sketch a histogram which shows a data set that is approximately symmetric. Explain thefeatures of your sketch which make it symmetric. Describe an example of a type of data setwhich might have this shape.ITEM C ONLY WITH SOLUTION AND ANSWERThe amygdala is a brain structure involved in the processing and memory of emotional reactions. In a research project, 10 subjects were shown emotional video clips. They then had their brain scanned with positron emission tomography (PET) and their memory of the clips was assessed quantitatively. Here are the relative amygdala activity and the memory score for each subject: The relationship is (Linear or curved) and ( Moderate, weak, or strong)? The direction of the realtionship is (Negitive or positive)? The amygdala and memory 3/4: The correlation coefficient between relative activity and memory score is: (round your answer to 3 decimal places)
- Question 12The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, X Wingspan, y 26 685 29 690 31 702 35 717 25 681 24 646 23 631 21 622 19 614 16 508 1.4 40 1.3 33 1.2 30 1.0 28 0.8 26 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. cm Need Help? Read ItSection H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between and y by using the simple linear regression model Yį = ßo + ß₁ x; + Eį. Table H.1 Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Lower Bound B Std. Error Beta Sig. Upper Bound Model 1 (Constant) -6.190 -23.508 11.128 Temperature 2.331 1.602 3.059 a. Dependent Variable: Frequency Table H.2 Model Summary Model R Square R .846ª 1 .715 a. Predictors: (Constant), Temperature b. Dependent Variable: Frequency Adjusted R Square 8.243 .347 .699 Std. Error of the Estimate 2.82159…