The following exercises utilize the path model depicted below as well as the data set country- c.sav. Specifically, the variables of Indocs (z₁), Ingdp (z₂), deathrat (z3), birthrat (z4), and lifeexpf (25) will be utilized. 112 5 P31 P42 P52 Z4 e3 P53 P54 es
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- The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 6.05 $ 73.22 1 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 1.40 41.80 5 7 .50 6.25 1 22 3.00 20.27 2…The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 7.00 $ 48.97 5 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 5.50 44.47 4 7 0.50 6.24 1 22 3.00 20.27 2…Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Diane falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 93 people in my market category who had been interviewed, 17 said they would buy the product, and of the 113 people in Diane's market category, 34 said they would buy it. Assuming that these data came…
- Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Amanda falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 97 people in my market category who had been interviewed, 16 said they would buy the product, and of the 101 people in Amanda's market category, 31 said they would buy it. Assuming that these data came…Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18-35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Holly falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 89 people in my market category who had been interviewed, 20 said they would buy the product, and of the 103 people in Holly's market category, 28 said they would buy it. Assuming that these…The maximum discount value of the Entertainment® card for the “Fine Dining” section, Edition 10, for various pages is given below. Page number Maximum value ($)4 1614 1925 1532 1743 1957 1572 1685 1590 17a) Decide which variable should be the independent variable and which should be the dependent variable. Justify your choice. b) Draw a scatter plot of the ordered pairs. c) Does it appear that the restaurants giving the maximum value are placed in the beginning of the “Fine Dining” section? How did you arrive at your answer? d) What is the slope of the least squares (best-fit) line? Interpret the slope. e) What is the intercept of the least squares (best-fit) line? Interpret the intercept. f) Write down the equation for the least squares line. Interpret your equation. g) Find the estimated maximum…
- Test the following data to see whether they are linear. (Choose one.) x- 3, 5, 7,9 y- 11,15,22,23 Linear or Not Linear?Use the data and create a model that estimates a student's giving rate as an alumni based on the three parameters provided. As the Student-Faculty Ratio increases, the Alumni Giving Rate declines. Group of answer choices True False University Graduation Rate % of Classes Under 20 Student-Faculty Ratio Alumni Giving Rate Boston College 85 39 13 25 Brandeis University 79 68 8 33 Brown University 93 60 8 40 California Institute of Technology 85 65 3 46 Carnegie Mellon University 75 67 10 28 Case Western Reserve Univ. 72 52 8 31 College of William and Mary 89 45 12 27 Columbia University 90 69 7 31 Cornell University 91 72 13 35 Dartmouth College 94 61 10 53 Duke University 92 68 8 45 Emory University 84 65 7 37 Georgetown University 91 54 10 29 Harvard University 97 73 8 46 Johns Hopkins University 89 64 9 27 Lehigh University 81 55 11 40 Massachusetts Inst. of Technology 92 65 6 44 New York University 72 63 13 13 Northwestern…The following data give X, the price charged per piece of plywood, and Y, the quantity sold (in thousands).Price per Piece, X Thousands of Pieces Sold, Y $6 80 7 60 8 70 9 40 10 0a. Prepare a scatter plot of these data points.b. Compute the covariance.c. Compute and interpret b1.d. Compute b0.e. What quantity of plywood would you expect to sell if the price were $7 per piece?
- a. What percentage of people in this survey spent an average of between the first quartileand the third quartile?b. The first quartile is 4 the third quartile is 15, calculate the upper inner fence and the lowerinner fence? c. What would be the direction of skewness based on this boxplot? d. How many outliers are there in this plot?Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are presented in the following tables. Analyze the relationship between father’s and son’s prestige, and the relationship between father’s and daughter’s prestige. Compute r and r Describe the strength and the direction of the relationship in a sentence or two. Does Occupational prestige of the father have an impact on his children. Does it have the same impact for his daughters as it does for sons?(Please ensure that you utilize the five-step model and show all your work when addressing the question) Family Father’s Prestige Son’s Prestige Daughter’s Prestige A 80 85 82 B 78 80 77 C 75 70 68 D 70 75 77 E 69 72 60 F 66 60 52 G 64 48 48 H 52 55 57A glass manufacturing company wanted to investigate the effect of breakoff pressure and stopper height on the percentage of breaking off chips. The results are in the accompanying table. Complete parts (a) through (e). a. At the 0.01 level of significance is there an interaction between the breakoff pressure and the stopper height? b. is there an effect due to the breakoff pressure? c. is there an effect due to the stopper height? d. Plot the percentage breakoff for each breakoff pressure for each stopper height. e. Discuss the results of (a) through (d).