(d)The Var(x + y) = 1.4979. Compute the covariance of x and y. What can you say about the relationship between quality and meal price? Is this what you would expect?(e)Compute the correlation coefficient between quality and meal price. What is the strength of the relationship? Do you suppose it is likely to find a low-cost restaurant in this city that is also high quality? Why or why not? The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in itsmetropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 leastexpensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of therating data is shown below. Forty-five of the restaurants received a rating of 1 on quality and 1 on meal price,42 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Thirty of therestaurants received the highest rating of 3 on both quality and meal price.Meal Price (y)Quality (x)23Total14542390236576615931293051Total9310899300

We have given that the data, Chamber of Commerce in a Canadian city has conducted an evaluation of…

(d) The Var(x + y) = 1.4979. Compute the covariance of x and y. What can you say about the relationship between quality and meal price? Is this what you would expect? (e) Compute the correlation coefficient between quality and meal price. What is the strength of the relationship? Do you suppose it is likely to find a low-cost restaurant in this city that is also high quality? Why or why not?

(d) The Var(x + y) = 1.4979. Compute the covariance of x and y. What can you say about the relationship between quality and meal price? Is this what you would expect? (e) Compute the correlation coefficient between quality and meal price. What is the strength of the relationship? Do you suppose it is likely to find a low-cost restaurant in this city that is also high quality? Why or why not?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown below. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. Quality (x) Meal Price (y) Total 1 2 3 1 42 39 3 84 2 33 63 54 150 3 3 15 48 66 Total 78 117 105 300 (a) Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y = meal price. Quality (x) Meal Price (y) Total 1 2 3 1 2 3 Total…
The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. Show Steps in Excel Meal price (y) 1 2 3 Total Quality (x) 1 42 39 3 84 2 33…
The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. Show Steps in Excel Meal price (y) 1 2 3 Total Quality (x) 1 42 39 3 84 2 33…
The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data isshown below. Forty-two of the restaurants received a rating of 1on quality and 1on meal price,39 of the restaurants received a rating of 1on quality and 2 on meal price, and so on.Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. a. Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city.Let x = quality rating and y = meal price b. Compute the expected value and variance for quality rating,x. c. Compute the expected value and variance for meal price, d. The Var(x +y) = 6691. Compute the covariance of x and y.What can you say about the relationship…
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