{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-28T03:18:41-04:00", "answer_date": "2024-06-28 03:18:41", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4229063", "url": "\/study-help\/questions\/5-a-researcher-is-interested-to-see-if-there-is-4229063", "question_creation_date_js": "2024-06-28T03:18:41-04:00", "question_creation_date": "Jun 28, 2024 03:18 AM", "meta_title": "[Solved] 5. A researcher is interested to see if t | SolutionInn", "meta_description": "Answer of - 5. A researcher is interested to see if there is a correlation in between the plot size (measured by the land area in | SolutionInn", "meta_keywords": "5,researcher,interested,correlation,plot,size,measured,land,area,m2,plant,dispersal", "question_title_h1": "5. A researcher is interested to see if there is a correlation in between the plot size (measured by the land area in m2) and", "question_title": "5. A researcher is interested to see if there is a correlation", "question_title_for_js_snippet": "5 A researcher is interested to see if there is a correlation in between the plot size (measured by the land area in m2) and plant dispersal rate (measured by number of plants) of ferns in a particular area The results of the experiment are shown below Area, x 5 8 13 19 25 27 34 40 46 Number of ferns, y 20 15 37 51 42 59 67 73 64 (a) Calculate the value of a and b for the least square regression line and write the equation (b) Calculate the value of the sample correlation coefficient, r (c) Find the value of the coefficient of determination, r2 (d) Suppose that the researcher used a plot size of 31 m2 i What would be the predicted value for the number of ferns ii Calculate its 95 confidence interval (e) Test if there is any significant correlation between the plot size (measured by the land area in m2) and plant dispersal rate (measured by number of plants) of ferns at 0 05", "question_description": "5. A researcher is interested to see if there is a correlation in between the plot size (measured by the land area in m2) and plant dispersal rate (measured by number of plants) of ferns in a particular area. The results of the experiment are shown below: Area, x 5 8 13 19 25 27 34 40 46 Number of ferns, y 20 15 37 51 42 59 67 73 64 (a) Calculate the value of a and b for the least-square regression line and write the equation. (b) Calculate the value of the sample correlation coefficient, r. (c) Find the value of the coefficient of determination, r2. (d) Suppose that the researcher used a plot size of 31 m2: i. What would be the predicted value for the number of ferns. ii. Calculate its 95% confidence interval. (e) Test if there is any significant correlation between the plot size (measured by the land area in m2) and plant dispersal rate (measured by number of plants) of ferns at = 0.05", "transcribed_text": "", "related_book": { "title": "South-Western Federal Taxation 2020 Comprehensive", "isbn": "357109147, 978-0357109144", "edition": "43rd Edition", "authors": "David M. Maloney, William A. Raabe, James C. Young, Annette Nellen, William H. Hoffman", "cover_image": "https:\/\/dsd5zvtm8ll6.cloudfront.net\/si.question.images\/book_images\/1962.jpg", "uri": "\/textbooks\/south-western-federal-taxation-2020-comprehensive-43rd-edition-9780357109144", "see_more_uri": "" }, "free_related_book": { "isbn": "0332752534", "uri": "\/textbooks\/primer-of-statistics-1st-edition-978-0332752532-252680", "name": "Primer Of Statistics", "edition": "1st Edition" }, "question_posted": "2024-06-28 03:18:41", "see_more_questions_link": "\/study-help\/questions\/sciences-chemistry-2023-March-09", "step_by_step_answer": "The Answer is in the image, click to view ...", "students_also_viewed": [ { "url": "\/jack-and-jill-inc-very-nearly-tumbled-into-bankruptcy-last", "description": "Jack and Jill Inc. very nearly tumbled into bankruptcy last year. To refinance the firm, the firm issued $25 million worth of 30-year income bonds. These bonds have an 8-percent coupon that is...", "stars": 3 }, { "url": "\/study-help\/psychology-2e\/discuss-platos-methodology-include-a-statement-about-platos-theory-of-1985050", "description": "Discuss Platos methodology. Include a statement about Platos theory of forms and explain the meaning of his metaphor eye of the soul.", "stars": 3 }, { "url": "\/study-help\/fundamentals-momentum-heat\/a-02mwide-plate-08-m-long-is-placed-on-the", "description": "A 0.2-m-wide plate, 0.8 m long, is placed on the bottom of a shallow tank. The plate is heated, and maintained at a constant surface temperature of 60\u00b0C. Liquid water 12 cm deep flows over the...", "stars": 3 }, { "url": "\/study-help\/questions\/both-questions-which-of-these-statements-is-correct-select-one-9836492", "description": "both questions Which of these statements is correct? 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What is the minimum annual amount of these...", "stars": 3 }, { "url": "\/study-help\/operations-management\/a-car-rental-agency-uses-96-boxes-of-staples-a-1383254", "description": "A car rental agency uses 96 boxes of staples a year. The boxes cost \\($4\\) each. It costs \\($10\\) to order staples, and it costs \\($0.80\\) to hold a box of staples in inventory for 1 year. How many...", "stars": 3 }, { "url": "\/study-help\/mechanical-vibration-analysis-\/how-do-you-add-two-harmonic-motions-having-different-frequencies-1395831", "description": "How do you add two harmonic motions having different frequencies?", "stars": 3 }, { "url": "\/study-help\/principles-of-economics\/pablo-dirk-and-franz-run-the-only-bar-in-town-1383669", "description": "Pablo, Dirk and Franz run the only bar in town. Pablo wants to sell as many drinks as possible without losing money. Dirk wants the bar to bring in as much revenue as possible. Franz wants to make...", "stars": 3 }, { "url": "\/study-help\/microeconomics-\/continue-with-the-gamma-model-of-exercise-52-a-show-1432905", "description": "Continue with the gamma model of Exercise 5-2. (a) Show that \\(\\partial Q_{N}(\\boldsymbol{\\beta}) \/ \\partial \\boldsymbol{\\beta}=\\boldsymbol{N}^{-1} \\sum_{i} 2\\left[\\left(y_{i}-\\exp...", "stars": 3 } ], "next_back_navigation": { "previous": "\/study-help\/questions\/please-help-4-15-pts-o-ruanaidh-and-fitzgerald-1996-4229062", "next": "\/study-help\/questions\/aleem-runs-a-business-on-front-street-his-store-has-4229064" }, "breadcrumbs": [ { "name": "Study help", "link": "https:\/\/www.solutioninn.com\/study-help\/questions-and-answers" }, { "name": "Sciences", "link": "https:\/\/www.solutioninn.com\/study-help\/questions-and-answers\/sciences" }, { "name": "Mathematics", "link": "https:\/\/www.solutioninn.com\/study-help\/questions\/sciences-mathematics" }, { "name": "5. A researcher is interested to see if there is a correlation", "link": "https:\/\/www.solutioninn.com\/study-help\/questions\/5-a-researcher-is-interested-to-see-if-there-is-4229063" } ], "skill_details": { "skill_id": "342", "skill_name": "Mathematics", "parent_id": "5" } }5" } }