Differentiate Independent and Dependent Samples and give an example for each method..
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Q: Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish…
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Q: Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish…
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- Consider a regression and correlation analysis where r2 = 1. We know that ________. A) SSE must be greater than oneB) SSE must be greater than SS TotalC) SSE can take on any negative or positive valueD) SSE must equal to zeroYou are asked to determine whether laptop brand A charges a higher premium for its laptops than brand B. You observe a sample of six laptops, their prices and brand. You observe a performance benchmark x for each of the laptops. Let (yi, xi) denote the price and performance of laptop i. Your data are: Obs. i=1 i = 2 i = 3 i = 4 i = 5 i = 6 Brand Price A $1000 A $1500 A B B B $2000 $1500 $2000 $2500 Performance 1 2 3 3 4 5 Draw a scatter plot of price vs. performance. Which brand produces more expensive laptops on average in the sample? Would you say this brand charges a higher premium? Explain by writing down an appropriate regression model, estimation results and an intepretation of your results. If you omit brand information from your regression and just regress price on performance, are you likely to over or under-estimate the association between performance and price? Explain by determining the likely sign of the omitted variables bias as in lecture and comparing it with the…For the following set of Data, 1) Draw a scatter plot.2) Calculate the r statistic.3) Find the regression equation.4) Use the regression equation to calculate two predicted y values from two x values.5) Use the points from step 4 to draw a regression line on the scatter plot from step 1, labeling the line with the regression equation. x= 7, 9, 6, 12, 9, 5 Y= 6, ,6, 3, 5, 6, 4
- Need help with this question. Thank you :)The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent y- Annual Yield(percentage) - range: 12 o 81 percent Σxi = 1612 Σyi = 898 Σxiyi = 44,377 Σxi2 = 89,790 Σyi2 = 35,704 a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate. b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept estimate. Assume the following sum of…Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
- Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 8 16 10 34 Science Fiction 10 8 12 30 Comedy 11 8 10 29 Column Total 29 32 32 93 (a) What is the level of significance?State the null and alternate hypotheses. H0: Age and movie preference are not independent.H1: Age and movie preference are independent.H0: Age and movie preference are independent.H1: Age and movie preference are independent. H0: Age and movie preference are not independent.H1: Age and movie preference are not independent.H0: Age and movie preference are independent.H1: Age and movie preference are not independent. (b) Find the value of the chi-square statistic for the sample. (Round…Using 23 observations on each variable, a computer program generated the following multiple regression model. y = 65.5 +9.56x1+3.27x2-4.23x3– 9.23x4 If the standard errors of the coefficients of the independent variables are, respectively, 3.44, 2.30, 2.76, and 4.99, can you conclude that the independent variable x, is needed in the regression model? Let B1, B2, Ba denote the coefficients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.10 to determine your 4 .../ answer. (a) State the null hypothesis H, and the alternative hypothesis H,. H, : 0 H, : 0 (b) Determine the type of test statistic to use. Degrees of freedom: D=0 OSO (c) Find the value of the test statistic. (Round to two or more decimal places.) O#0 OO (d) Find the two critical values at the 0.10 level of significance. (Round to two or more decimal places.) | and || (e) Can you conclude that the independent variable is needed in the regression model? Yes No 미If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data _____. Select one: A. is 0 B. could be any value between -1 and 1 C. is either 1 or -1, depending upon whether the relationship is positive or negative D. is 1
- Q3: From the following data: 2 5 y 5 4 6 3 1) Draw scatter plot. 2) Determine the regression line y = a + b x. 3) Predict the value of y for the value of x = 4.6. 4) Calculate the correlation coefficient. 4 8 3 5Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 2 Frederick 4 Fatima Marlin Ŷ = bX + a You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: b = One formula for the slope of the regression line is as follows: SP = To calculate the slope, first calculate SP and SSx: 1 3 and SSx = ∞587 (Hint: For SP use the computational formula and for SSx use the definitional formula.) The slope of the regression line is Frederick Fatima Marlin The difference between Y and Ŷ for a particular sample point (observation) is called a residual. Calculate the predicted Y (Y) for each of the dolphins, and then calculate the residuals. 4…High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 237 208 2 239 202 3 230 185 4 245 217 5 242 180 6 282 215 7 243 182 8 286 195 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct a 99.9% confidence interval for the mean reduction in cholesterol level. Let d represent the cholesterol level before treatment minus the cholesterol level after. Use the TI-84 calculator and round the answers to at least one decimal place.
