2. With the growth of internet service providers, a researcher decides to examinewhether there is a correlation between cost of internet service per month (rounded tothe nearest dollar) and degree of customer satisfaction (on a scale of 1 - 10 with a 1being not at all satisfied and a 10 being extremely satisfied). The researcher onlyincludes programs with comparable types of services. A sample of the data is providedbelow.dollars satisfaction116188171015499.5123192222510a. Compute the correlation coefficient.b. Determine the equation of regression if the level of satisfaction is beingpredicted.c. What satisfaction level would the customers achieved if they are paying $20?$8? $16?d. Determine the equation of regression if the cost is being predicted.e. How much would it cost to have a satisfaction level of 7?f. Explain the predicting capability of the equation.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sanchez & Hall, a research firm for the real estate industry, studied the relation between x = annual income (in thousands of dollars) and y= sale price of house purchased (in thousands of dollars). A random sample of data was collected from mortgage applications for home sales in the region of the study, and is given in the table. Annual Income House Price 215.7 211 144.7 278.5 319.5 236.8 144.8 204 286.8 97 120 73 107 135 81 72 ס|א|א 70 108
Statistics Question
An economist wants to determine whether there is a linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. The data are shown in the table below. c. Compute and interpret the correlation coefficient. d. Compute and interpret the coefficient of determination. e. Test for the significance of the linear relationship. Use a 0.05 level of significance. State your conclusion. Hint: Your conclusion is either of the following. • There is a significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. • There is no significant linear relationship between a country's gross domestic product (GDP) and carbon dioxide emissions. GDP 1.6 3.6 4.9 1.1 0.9 2.9 2.7 2.3 1.6 1.5 (trillion dollars) Carbon Dioxide Emissions 428.2 828.8 1214.2 444.6 264 415.3 571.8 454.9 358.7 573.5 (millions of metric tons)
A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the раper. Sugar Consumption Depression Rate Country Korea 160 2.4 United States 290 3.1 France 360 4.3 Germany 365 4.9 Canada 380 5.3 New Zealand 470 5.6 n USE SALT (a) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.) r = 0.9428 Interpret the correlation coefficient for this data set. O There is a weak, positive linear relationship between depression rate and sugar consumption. O There is no linear relationship between depression rate and sugar consumption. O There is a strong, negative linear relationship between depression rate and sugar consumption. O There is a weak, negative linear relationship between depression rate and sugar consumption. O There is a strong, positive…
Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.
EXAMPLE 4.9 Students who seek therapy at university counseling centers often do not attend many sessions. For example, in one study, the median number of therapy sessions was 3 and the mean was 4.6 (Hatchett, 2003). Let’s examine the spread of fictional scores for a sample of five students: 1, 2, 4, 4, and 10 therapy sessions, with a mean of 4.2. We find out how far each score deviates from the mean by subtracting the mean from every score. First, we label with an X the column that lists the scores. Here, the second column includes the results we get when we subtract the mean from each score, or X − M. We call each of these a deviation from the mean (or just a deviation)—the amount that a score in a sample differs from the mean of the sample. X X − M 1 − 3.2 2 − 2.2 4 − 0.2 4 − 0.2 10 5.8 But we can’t just take the mean of the deviations. If we do (and if you try this, don’t forget the signs—negative and positive), we get 0—every time. Are you surprised?…
Estimating income tax based on dividends is also not straightforward, due in part to Australia’s franking credit scheme. Mike is looking to simplify total annual tax projections for a share portfolio based simply on the share portfolio's current value. To do this, he wishes to determine if there is any statistically significant linear relationship between the two. Mike has randomly sampled 30 individuals with share portfolios over AUD$100,000 and mapped the assessed value of the portfolio (in AUD $1000) to the total taxes paid on that amount (in AUD$1). Mike's data is in the table below. Assessed Value Taxes 426.1 5014 368.8 3698 309.8 3691 373.9 5189 445.7 4455 505.1 5189 342.3 3416 343.6 3931 432.3 4393 329.2 3267 291.2 2871 399.3 4013 392.7 4728 482.2 4885 480.6 4888 390.8 3917 371.6 3738 311.9 3098 343.7 3633 304.7 3538 274.6 3427 457.1 4633 231.5 4009 450.5 4565 510.1 5946 308.4 3045 348.8 3504 410.4 3375…
A researcher is studying psychological factors in artistic achievement among teenage girls. One variable he is particularly interested in is perseverance. What information does a measure of variability for the variable perseverance convey? Check all that apply. What is the central tendency for the variable perseverance among teenage girls? What is the most common value for the variable perseverance among teenage girls? How spread out are the values for perseverance amoung teenage girls? Do all teenage girls have the same amount of perseverance?

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