You're a marketing analyst for Hasbro Toys. You find B, =-.1, B, = .7 and s = .6055. Ad Expenditure (100$) %3D Sales (Units) 3 4 Is the relationship significant at the .05 level of significance? 1122N 4
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- A random sample of 30 colleges from Kiplinger’s list of the best values in private collegeprovided the data shown in the DATAfile named BestPrivateColleges (Kiplinger, October2013). The variable named Admit Rate (%) shows the percentage of students that appliedto the college and were admitted, and the variable named 4-yr grad. Rate (%) shows thepercentage of students that were admitted and graduated in four years.a. Develop a scatter diagram with Admit Rate (%) as the independent variable. Whatdoes the scatter diagram indicate about the relationship between the two variables?The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 23.5 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 23.5 cm, what is the single value that is the best predicted height for that person? The single value that is the best predicted height is _____cm. The regression equation is Height=50.8+3.20 Foot Length Predictor Coef SE Coef T P Constant 50.82 11.65 4.36 0.000 Foot Length 3.1982 0.4903 6.52 0.000 S=5.50372 R-Sq=71.7% R-Sq(adj)=71.0% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 125.978 1.744 (121.356, 130.600) (114.681, 137.275) Values of Predictors…In a random sample of seven statistics students, the number of homework assignments missed (x) and the score on Exam #3 (y) were recorded. Use the (abbreviated) MINITAB output below to test for significant negative correlation between the number of homework assignments missed and the score on Exam #3 at the 1% level of significance. State hypotheses and conclusions.Pearson correlation of x and y = -0.935
- A community college professor is interested in determining the relationship between the number of posts students make on Schoology and their respective grades. He planned to correlate the results from a sample from all his classes, however, due to time constraints, he decided to sample only from students with high grades. As his statistical consultant, state whether or not you support his plans and why.Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system. However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their names on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (dependent variable y). The estimated regression equation is: ŷ=7.82+8.84x and MSE=113.9197. Point estimate for customers with 3 people on the waitlist is 34.3 minutes. b. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). c. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three customers in…Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system. However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (dependent variable y). The estimated regression equation is: ŷ=4.35+8.81x and MSE=94.4236. Point Estimate for customers who arrive with 3 people on the wait list is 30.8 minutes. a. Develop a 95% confidence interval for the mean waiting time for a customer who arrives with three customers already in line (to 2 decimals). b. Develop a 95% prediction interval for Roger and Sherry Davy's waiting time if there are three…
- Many small restaurants in Portland, Oregon, and other cities across the United States do not take reservations. Owners say that with smaller capacity, no-shows are costly, and they would rather have their staff focused on customer service rather than maintaining a reservation system.† However, it is important to be able to give reasonable estimates of waiting time when customers arrive and put their name on the waiting list. The file RestaurantLine contains 10 observations of number of people in line ahead of a customer (independent variable x) and actual waiting time (in minutes) (dependent variable y). The estimated regression equation is: ŷ = 4.35 + 8.81x and MSE = 94.42. (a) Develop a point estimate (in min) for a customer who arrives with seven people on the wait-list. (Round your answer to two decimal places.) ŷ* = _____min (b) Develop a 95% confidence interval for the mean waiting time (in min) for a customer who arrives with seven customers already in line. (Round…Which of the following can cause OLS estimators to be biased? PLEASE EXPLAIN. A sample correlation coefficient of .95 between two Independent variablesboth included in the model.In the decoration department of a company 4 people work per shift, the production supervisors remain fixed in their shift while the staff is rotating the schedule, so that they work with both supervisors.For the annual evaluation, each supervisor evaluates everyone's performance.Determine if there is a significant correlation between the two evaluations with alpha= 5%. Worker Supervisor Qualification1 Supervisor Qualification2
- According to World Health Organization (WHO), the recommended limit for a noise level inside a classroom is 35 dBA. However, nine out of ten schools fail to meet this recommendation. A researcher wishes to conduct a study relevant to the prior information, but as a gap, he decides to include the area (in square meters) of every classroom and how it could possibly affect the resulting noise level. He selects 17 classrooms at random, and the noise levels are recorded in the next slide. Calculate the correlation coefficient and interpret the result.The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. Each metropolitan statistical area has at least one urbanized area of 50,000 or more inhabitants. The data in Sheet 10 are the rental vacancy rates (%) for metropolitan statistical area in four geographic regions of the U.S. for the first quarter of 2008. Use alpha = 0.05 to test whether the mean vacancy rate is the same for each geographic region. Sheet 10 Midwest Northeast South West 16,2 2,7 16,6 7,9 10,1 11,5 8,5 6,6 8,6 6,6 12,1 6,9 12,3 7,9 9,8 5,6 10 5,3 9,3 4,3 16,9 10,7 9,1 15,2 16,9 8,6 5,6 5,7 5,4 5,5 9,4 4 18,1 12,7 11,6 12,3 11,9 8,3 15,6 3,6 11 6,7 18,3 11 9,6 14,2 13,4 12,1 7,6 1,7 6,5 8,7 12,9 3,6 11,4 5 12,2 11,5 13,1 4,7 13,6 16,3 4,4 3,3 8,2 3,4 24 5,5 12,2 22,6 12 14,5 12,6 9,5 10,1 Select one: a) Sum of Squares Between Groups = 376.87 >…The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3…
