Area of Ope Which of the following is the equation of the line of best fit? O A. y = -r + 160 %3D
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Mrs. Alexander had her chemistry classes analyze the amount of time it takes for water to evaporate out of different-sized containers. The graph below shows a line of best fit for the data collected by all of her students.
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- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.8 3.5 2.8 2.8 2.3 0.5 y 13.9 10.8 10.1 7.2 6.5 6.5 6.3 4.8 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.81x + 4.35. 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 7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.8 thousand automatic weapons? Answer = Answer = Round to 3 decimal places.Use the data given in the three scenarios below to produce scatter plots, determine the type of model demonstrated in each example and then answer the questions based on the graph you created. Scenario 1 Rescue 911 In a rural community, fire and paramedic crews must service a large region. They often cover 2 or 3 towns several kilometres apart. These crews travel, on average, 70 km/h to their destination. The Chief of Station 42 wants to determine the time required to reach the patient's home (response time) for his region. The station is located next to the local hospital. The Chief knows the distances to each community that he services, including Deerborn, the furthest community, at 55 km away. Using the data below, create a scatter plot showing the relationship between distance to patient and response time. Distance to Patient (km) Response Time (minutes) 10 8.6 15 12.9 40 34.3 50 42.9 55 47.1The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.4 7.2 3.6 2.7 2.7 2.2 0.7 yy 13.8 11.5 10 7.2 6.4 6.1 6.2 4.4 xx = thousands of automatic weaponsyy = murders per 100,000 residents This data can be modeled by the equation y=0.84x+4.06.y=0.84x+4.06. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4.9 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. x 11.4 8 6.8 3.4 2.4 2.2 2.4 0.4 y 13.5 10.7 10.1 6.9 5.9 5.6 6.3 4.2 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x + 3.97. 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 10.3 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.A research study recorded the out-of-state tuition fees for a sample of public and for-profit colleges in the United States, and the results can be downloaded from the data file Tuition. Summarize this data by creating histograms with StatKey, and submit your graph as a PDF. When creating your graphs, please make sure the number of buckets is set to 10.Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at 9 am for an hour. Below is the data she collected. Wednesday's Speeds: Sunday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 18,27,34,37,49.55,63,61,48,30,27,17,17,15,26,46,25 4) Find the Standard Deviation of each day. Wednesday's Standard Deviation Table X x (x-)²2 n-l Sunday's Standard Deviation Table 7 (x-2)² n-1 2). Sketch Wednesday's Bell Curve with 30 Sketch Sunday's Bell Curve with 30 (x-7)²= x-F (x-7) 2 3. Based on your analysis of the data and standard deviations, which day would you say is the most dangerous day on Maple Street?
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.6 7.2 3.6 13.5 11.3 10.1 x = thousands of automatic weapons y = murders per 100,000 residents 2.4 2.8 2.3 0.9 7 6.1 6.6 5.9 4.7 This data can be modeled by the equation y = 0.83x +4.06. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 11 thousand automatic weapons? Round to 3 decimal places.Which of the following is the most appropriate equation to model the data? ŷ = –10.89x + 0.85 ŷ = –0.85x + 10.89 ŷ = 10.89(0.85)x ŷ = 0.85(10.89)xPlease label each part
- You have the following data: Student A took 2 courses in the Fall semester. His previous CGPA was 3.2. He received GPA 3.5 in the Fall semester. Student B took 5 courses in the Fall semester. Her previous CGPA was 3.9. She received GPA 3.6 in the Fall semester. Student C took 4 courses in the Fall semester. His previous CGPA was 3.6. He received GPA 3.4 in the Fall semester. Using this data, we'll try to build a model using Least Square approximation, that can predict the CGPA of a student in the Fall semester given the number of courses s/he took in Fall, and his/her previous CGPA. (In real life, we'd use many more parameters, but for the sake of the quiz, we are keeping things simple.) The model is as follows - wi x (number of courses) + wz x (previouos CGPA) = GPA in Fall Find the values of wi, and wz using Least Square approximation. (Round off up to 3 decimal points) w, is equal to - wz is equal to - If a student took 4 courses in Fall, and his previous CGPA was 3.7, what would be…The following chart shows the percentage of the U.S. discretionary budget allocated to education from 2003 to 2009 (t = 3 represents the start of 2003). A bar graph titled "Percentage of U.S. budget on education" has a horizontal t-axis labeled "Year since 2000" and a vertical axis labeled "Percentage". The bar graph has 7 bars. Each bar is associated with a label and an approximate value as listed below. 3: 6.8% 4: 7% 5: 7% 6: 6.9% 7: 6.5% 8: 6.3% 9: 6.2% The following table shows the percentage of the U.S. discretionary budget allocated to education in 2003, 2005, and 2009 (t = 3 represents the start of 2003). Year t 3 5 9 Percentage 6.8 7 6.2 Find a quadratic model for these three years. (Round your coefficients to two decimal places.) p(t) = Use your model to estimate the percentage of the U.S. discretionary budget allocated to education in 2007. (Round your answer to two decimal places.)The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7. 3.5 2.6 2.3 2.4 0.4 13.8 11 10 6.3 6.1 5.9 4.1 I = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85T + 3.97. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 1.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons? Answer = Round to 3 decimal places. Question Help: O Message instructor Submit Question to search 1O