y X2 X3 X4 240 25 24 91 100 236 31 21 90 95 270 45 24 88 110 274 60 25 87 88 301 65 25 91 94 316 72 26 94 99 Determine the y-intercept and the slopes 300 80 25 87 97 296 84 25 86 96 267 75 24 88 110 276 60 25 91 105 288 50 25 90 100 261 38 23 89 98
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- Sales Barnes & Noble had annual sales of $6.8 billion in 2013 and $6.1 billion in 2015. Use the Midpoint Formula to estimate the sales in 2014. Assume that the annual sales followed a linear pattern.Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 480 eggs in group I, of which a field count showed about 275 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 874 eggs in group II boxes, of which a field count showed about 272 hatched. Find a point estimate for p1, the proportion of eggs that hatch in group I nest box placements. Round your answer to three decimal places. In linear analysis, what is meant by the "best fitting" or "least squares" line? Choices: A: of all possible lines, the line with the steepest slope B. The line that minimizes the differences between the actual values of y and the predicted values of y C. of all possible lines, the line with the flattest slope D. the line that minimizes the differences between actual values of y and the mean value of y
- A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 2 7 0 3 2 9 15 3 8 0 11 Sick Days 10 3 6 5 4 5 0 4 2 11 0 Interpret the y-intercept in the context of the question: If an employee takes no vacation days, then that employee will take 8 sick days. The y-intercept has no practical meaning for this study. The best prediction for an employee who doesn't take any vacation days is that the employee will take 8 sick days. The average number of sick days is predicted to be 8A two-factor study investigates the effects of self-esteem (low vs. high) and gender (males vs. females) on anxiety scores. The following data represents the means for each treatment condition. Low self-esteem High self-esteem Male 5 12 Female 10 3 The data shows that there is a self-esteem by gender interaction. a. Draw a graph by hand representing the interaction. On the x-axis put self-esteem.TOPIC: MEASURE OF POSITION AND CENTRAL TENDENCY
- Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of its car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled: Month Rental Returns Car Wash Costs January 2,400 $ 11,300 February 2,500 $ 13,300 March 2,800 $ 12,100 April 3,100 $ 14,700 May 3,700 $ 16,500 June 5,100 $ 23,900 July 5,600 $ 22,500 August 5,600 $ 22,900 September 4,700 $ 23,100 October 4,100 $ 22,000 November 2,200 $ 11,000 December 2,900 $ 15,300 2. Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost incurred to wash cars. (Round Fixed cost to the…We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles. Weight FuelEfficiency 2715 26 2560 26 2630 29 2790 38 3000 24 3410 24 3640 20 3700 25 3880 22 3900 20 4060 20 4710 16 1) Graph a scatterplot of the data.A researcher explored the relationship between the percent of snow days during the month of January and the percent of students that receive an A on class finals at the same schools. The researcher collects information from 6 schools, shown in the table below. Use the graph below to plot the points and develop a linear relationship between the percent of January snow days and the percent of 'A' final exams. School Number % of Snow Days % of A Finals 1 5 25 2 7 45 3 10 50 4 12 65 5 20 70 6 25 86 Using the linear relationship graphed above, estimate the percent of 'A' finals if there are 2% snow days. Provide your answer below:
- Southerly Showtime Movie Theaters, Inc. owns and operates a chain of cinemas in several markets in the southern United States. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. (Let x1 represent Television Advertising ($100s), x2 represent Newspaper Advertising ($100s), and y represent Weekly Gross Revenue ($100s).) Market Weekly Gross Revenue ($100s) Television Advertising ($100s) Newspaper Advertising ($100s) Market 1 101.3 4.9 1.4 Market 2 51.9 2.9 3.1 Market 3 74.8 3.9 1.4 Market 4 126.2 4.4 4.2 Market 5 137.8 3.7 3.9 Market 6 101.4 3.4 2.4 Market 7 237.8 5.1 8.5 Market 8 219.6 7.0 5.7 (a) Develop an estimated linear regression equation with the amount of television advertising as the independent variable. (Round your numerical values to four decimal places.) ŷ = Test for a significant relationship between the amount spent on television…Vineyards again Instead of Age, perhaps the Size of thevineyard (in acres) is associated with the price of thewines. Look at the scatterplot: a) Do you see any evidence of an association?b) What concern do you have about this scatterplot? c) If the red “+” data point is removed, would the corre-lation become stronger or weaker? Explain. d) If the red “+” data point is removed, would the slopeof the line increase or decrease? Explain.TOPIC: MEASURES OF POSITION AND CENTRAL TENDENCY
