It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. given Σx = 13, Σy = 151, Σx2 = 65, Σy2 = 6005, Σxy = 409, and r ≈ −0.9818. x 0 2 5 6 y 48 44 33 26 Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) x = y = =y= +___x Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained % unexplained % If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) ____%
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The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. given Σx = 13, Σy = 151, Σx2 = 65, Σy2 = 6005, Σxy = 409, and
| x | 0 | 2 | 5 | 6 |
| y | 48 | 44 | 33 | 26 |
Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.)
| x | = |
| y | = |
| = |
Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.)
| r2 = | |
| explained | % |
| unexplained | % |
If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.)
____%
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