Concept explainers
(a)
To graph: The
(b)
To calculate: The least square regression line that fits the given data using the regression feature of the graphing utility. Also, graph the model and the scatter plot in the same viewing window as in part (a), and then, compare it with the graph obtained in part (a) using given data.
(c)
To calculate: The amount of beef produced on private farms in
(d)
The meaning of the slope of the linear model obtained in part (b) in the context of the given problem.
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- he scatter plot below shows the average cost of a patient staying one day in a hospital (with no surgery) in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: (2003, 2736); (2004, 2715); (2007, 2675); (2009, 2719); (2013, 270). All coordinates are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: The average cost of a day in a hospital decreased by $3.765 each year between 2000 and 2015. The average cost of a day in a hospital increased by $3.765 each year between 2000 and 2015. The average cost of a day in a hospital decreased by $4815 each year between 2000 and 2015. The average cost of a day in a hospital increased by…arrow_forwardthe scatter plot displays the number of pretzels students could grab with their dominant hand and their handspan, measured in centimeters. the equation of the line y=-14.7+1.59x is called the least-squares regression line because itarrow_forwardTire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model What is the predicted average mileage at tire pressure x = 31?arrow_forward
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