자료의 정리와 분석

Graph $f(x)=0.5x+10$. Pick a set of 5 ordered pairs using inputs $x=-2,1,5,6,9$ and use linear regression to verify that the function is a good fit for the data.

Graph $f(x)=-2x-10$. Pick a set of 5 ordered pairs using inputs $x=-2,1,5,6,9$ and use linear regression to verify the function.

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands of dollars over the ten-year span, (number of units sold, profit) for specific recorded years:

$(46,1,600),\,(48,1,550),\,(50,1,505),\,(52,1,540),\,(54,1,495)$.

Use linear regression to determine a function $P$ where the profit in thousands of dollars depends on the number of units sold in hundreds.

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands of dollars over the ten-year span, (number of units sold, profit) for specific recorded years:

$(46,1,600),\,(48,1,550),\,(50,1,505),\,(52,1,540),\,(54,1,495)$.

Find to the nearest tenth and interpret the x-intercept.

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands of dollars over the ten-year span, (number of units sold, profit) for specific recorded years:

$(46,1,600),\,(48,1,550),\,(50,1,505),\,(52,1,540),\,(54,1,495)$.

Find to the nearest tenth and interpret the y-intercept.

For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs shows the population and the year over the ten-year span, (population, year) for specific recorded years:

$(2500, 2000), (2650, 2001), (3000, 2003), (3500, 2006), (4200, 2010)$

Use linear regression to determine a function $y,$ where the year depends on the population. Round to three decimal places of accuracy.

For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs shows the population and the year over the ten-year span, (population, year) for specific recorded years:

$(2500, 2000), (2650, 2001), (3000, 2003), (3500, 2006), (4200, 2010)$

Predict when the population will hit 8,000.

For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the profit in thousands of dollars over the ten year span, (number of units sold, profit) for specific recorded years:

$(46,250),\,(48,305),\,(50,350),\,(52,390),\,(54,410)$.

Use linear regression to determine a function y, where the profit in thousands of dollars depends on the number of units sold in hundreds .

For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the profit in thousands of dollars over the ten year span, (number of units sold, profit) for specific recorded years:

$(46,250),\,(48,305),\,(50,350),\,(52,390),\,(54,410)$.

Predict when the profit will exceed one million dollars.

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands of dollars over the ten-year span (number of units sold, profit) for specific recorded years:

$(46, 250), (48, 225), (50, 205), (52, 180), (54, 165).$

Use linear regression to determine a function y, where the profit in thousands of dollars depends on the number of units sold in hundreds .

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands of dollars over the ten-year span (number of units sold, profit) for specific recorded years:

$(46, 250), (48, 225), (50, 205), (52, 180), (54, 165).$

Predict when the profit will dip below the $25,000 threshold.

Draw a scatter plot for the data in (the referenced table). Then determine whether the data appears to be linearly related.

Draw a scatter plot for the data in (the referenced table). If we wanted to know when the population would reach 15,000, would the answer involve interpolation or extrapolation?

Eight students were asked to estimate their score on a 10-point quiz. Their estimated and actual scores are given in (the referenced table). Plot the points, then sketch a line that fits the data.

Draw a best-fit line for the plotted data.

For the following exercises, consider the data in (the referenced table), which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.

Year	2000	2002	2005	2007	2010
Percent Graduates	6.5	7.0	7.4	8.2	9.0

Determine whether the trend appears to be linear. If so, and assuming the trend continues, find a linear regression model to predict the percent of unemployed in a given year to three decimal places.

For the following exercises, consider the data in (the referenced table), which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.

Year	2000	2002	2005	2007	2010
Percent Graduates	6.5	7.0	7.4	8.2	9.0

In what year will the percentage exceed 12%?

For the following exercises, consider the data in (the referenced table), which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.

Year	2000	2002	2005	2007	2010
Percent Graduates	6.5	7.0	7.4	8.2	9.0

Based on the set of data given in (the referenced table), calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.

For the following exercises, consider the data in (the referenced table), which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.

Year	2000	2002	2005	2007	2010
Percent Graduates	6.5	7.0	7.4	8.2	9.0

Based on the set of data given in (the referenced table), calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.

For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the population and the year over the ten-year span (population, year) for specific recorded years:

$(3,600, 2000); (4,000, 2001); (4,700, 2003); (6,000, 2006)$

Use linear regression to determine a function $y,$ where the year depends on the population, to three decimal places of accuracy.