Using the partial R output, answer the questions below. (a) Estimate the model. Use two-decimals your estimation of the slope term, no decimals in the estimation of the y-intercept. MonthlySales, = I Percent HSGrads, (b) What percentage of the variation in a store's monthly sales cannot be explained by its linear dependency on the percentage of the customer base that are high school graduates? Enter your answer as a percentage, using two decimal places.
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- In a study of the lung function of children, the volume of air exhaled under force in one second is called FEV1. (FEV1 stands for forced expiratory volume in one second.) Measurements were made on a group of children each year for two years. A linear model was fit to predict this year’s FEV1 as a function of last year’s FEV1 (in liters), the child’s gender (0 = Male, 1 = Female), the child’s height (in m), and the ambient atmospheric pressure (in mm). To try to improve the prediction of FEV1, additional independent variables are included in the model. These new variables are Weight (in kg), the product (interaction) of Height and Weight, and the ambient temperature (in °C). The following MINITAB output presents results of fitting the model FEV1 = β0 + β1 Last FEV1 + β2 Gender + β3 Height + β4 Weight + β5 Height · Weight + β6 Temperature + β7 Pressure + ε a) The F statistic is? b) How many degrees of freedom does the F statistic have? c) Find the P-value for the F statistic. Is the…Consider an equation to explain salaries of CEOs in terms of annual firm sales, return on equity (roe in percentage form), and return on the firm’s stock (ros, in percentage form): log (salary) = β0+ β1 log(sales) + β2roe + β3ros – u. In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary. Using the data in CEOSAL1, the following equation was obtained by OLS: log(salary) ˆ = 4.32 + .280 log(sales) + .0174 roe + .00024 ros (.32) (.035) (.0041) (.00054) n = 209, R2 = .283 By what percentage is salary predicted to increase if ros increases by 50 points? Does ros have a practically large effect on salary? Test the null hypothesis that ros has no effect on salary against the alternative that ros has a positive effect. Carry out…Consider an equation to explain salaries of CEOs in terms of annual firm sales, return on equity (roe in percentage form), and return on the firm’s stock (ros, in percentage form): log (salary) = β0+ β1 log(sales) + β2roe + β3ros – u. In terms of the model parameters, state the null hypothesis that, after controlling for sales and roe, ros has no effect on CEO salary. State the alternative that better stock market performance increases a CEO’s salary. Using the data in CEOSAL1, the following equation was obtained by OLS: = 4.32 + .280 log(sales) + .0174 roe + .00024 ros (.32) (.035) (.0041) (.00054) n = 209, R2 = .283 By what percentage is salary predicted to increase if ros increases by 50 points? Does ros have a practically large effect on salary? Test the null hypothesis that ros has no effect on salary against the alternative that ros has a positive effect. Carry out the test at the 10% significance…
- Assume that there is a positive linear correlation between the variable R (return rate in percent of a financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.3t + 4.8. Without further information, can we assume there is a cause-and-effect relationship between the return rate and the age of the investment? If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old? If the investment continues to grow at a constant rate, how old is the investment when the return rate is 30%?Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old?Hamed own a local gold market that currently has 4693401 subscriber in Instagram at a quarterly charge ofR.O. 18. He notices that if he raises the price of his commodity to R.O. (18 + 4), he will lose 8549 subscriber.Assuming that subscriptions are linearly related to the price, what price should Hamed charge for aquarterly subscription to maximize his revenue?
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- The table time (xi) 1 2 3 4 5 6infections (yi = f(xi)) 32 37 34 48 53 69 depicts the number of newly infected individuals with a contagious, airborne disease atintervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1and y0 = 32, respectively, represent the end of the first day of testing for the disease, andnumber of positive tests conducted by the end of that day. (Note: xi represents the end of a testing day, where the values of xi are as tabulated, whileyi represents the number of positive tests conducted by the end of day xi.) (a) Construct a forward difference table for the above dataHamed own a local gold market that currently has (4693401)subscriber in Instagram at a quarterly charge of R.O. 18. He notices that if he raises the price of his commodity to R.O. (18+ 4), he will lose 8549subscriber. Assuming that subscriptions are linearly related to the price, what price should Hamed charge for a quarterly subscription to maximize his revenue?(A) The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and Y=[6,4,6,8,5,10] is equal to? (B)An outbreak of certain illness was attributed to ice creams produced at a certain factory. Scientists measured the level of the illness causing factor in 10 randomly sampled batches of ice cream. The levels were: 0.583, 0.242, 0.129, 0.691, 0.231, 0.693, 0.619, 0.392, 0.418. What is the estimated interval of population mean at 0.05 level of significance? (C) The population standard deviation for the age of a certain University students is 13 years. If we want to be 90% confident that the sample mean age is within 3 years of the true population mean age of the University students, then how many randomly selected students must be surveyed?