The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.3 8.5 7.2 3.9 2.8 2.5 2.2 0.4 13.8 11.4 I = thousands of automatic weapons y = murders per 100,000 residents 10 7 6.1 6.5 6.1 4.7 This data can be modeled by the equation y = 0.84x + 4.11. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons? Answer = Nearest whole value. B) How many murders per 100,000 residents can be expected in a state with 5.7 thousand automatic weapons? Answer = Nearest whole value

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.3 8.5 7.2 3.9 2.8 2.5 2.2 0.4 13.8 11.4 I = thousands of automatic weapons y = murders per 100,000 residents 10 7 6.1 6.5 6.1 4.7 This data can be modeled by the equation y = 0.84x + 4.11. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons? Answer = Nearest whole value. B) How many murders per 100,000 residents can be expected in a state with 5.7 thousand automatic weapons? Answer = Nearest whole value

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 41RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed in...

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8.4 7 3.8 2.7 2.3 2.5 0.3 yy 14.2 11.4 10.2 7.4 6.3 6.1 6 4 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation ˆy=0.89x+3.89.y^=0.89x+3.89. Use this equation to answer the following;Note: Verify this equation using your calculator.A) How many murders per 100,000 residents can be expected in a state with 2.8 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 8.5 thousand automatic weapons?Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.6 7.1 3.9 2.5 2.6 2.4 0.4 yy 14.3 11.5 9.8 7.6 6.2 6.5 6.4 4.1 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.86x+4.07.y=0.86x+4.07. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 3 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4.1 thousand automatic weapons?Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.9 8.1 6.9 3.8 2.3 2.7 2.4 0.7 yy 13.9 11.2 9.7 7.2 5.8 6.4 5.9 4.9 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.83x+4.08.y=0.83x+4.08. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons?Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.5 7.1 3.8 2.5 2.5 2.7 0.9 yy 13.7 11.2 10.2 7 6.3 6.3 6.3 5.1 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThe equation y=4.14+0.84xy=4.14+0.84x can used to model this data. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10 thousand automatic weapons?Answer = Round to 3 decimal places.