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- 1. Consider the data sets below, determine if it is reasonable to assume that y is proportionalto x. If it is, approximate the constant of proportionality. If it is not, describe why thisassumption is not reasonable. x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 Y 1 1.2 1.44 1.69 1.96 2.25 2.56 2.89 2. If water bottles are geometrically similar, how much more water will a bottle that is 50 cmtall hold than one that is 20 cm tall? 3. Use dimensional analysis to derive an expression for the volume flow rate, q, in terms of r(the radius of the pipe), µ (the viscosity of the fluid) and dpdz (the fall in pressure per unit length) q r µ dp/dz L3T−1 L ML−1T−1 ML−1T−2 4. Consider the below data set: X 75 80 93 65 87 71 98 68 84 77 Y 82 78 86 72 91 80 95 72 89 74 (a) Fit the straight line curve to the data(b) Predict the value of y when x = 80 5. Find the solution of the differential equations that satisfies the given initial condition:(a) (x^2 + 1)dy/dx + 3x(y − 1) = 0, y(0) = 2# 7 The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.4 7 3.9 2.9 2.5 2.4 0.9 yy 13.5 11.5 10.2 7.1 6.5 6.2 5.9 4.8 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.85x+4.01.y=0.85x+4.01. 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 1.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.9 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. 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 11.7 8 6.8 3.7 2.9 2.4 2.4 0.4 yy 14.3 10.5 9.8 7.2 6.6 5.8 5.9 4.6 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.86x+3.97.y=0.86x+3.97. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 3.4 thousand automatic weapons?Answer = __?__ Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 9.4 thousand automatic weapons?23. A population of algal cells starts with 200 cells and triples every week. Data are collected for the first three months of the cell growth. When the first, second, third, and fourth differences are calculated from the data, what will be the relationship between the values in the differences columns?The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.5 7.2 3.7 2.3 2.6 2.5 0.8 yy 13.9 11.4 10 7 6 6.4 6.5 4.6 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.86x+4.02.y=0.86x+4.02. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 4.2 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5.5 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 11.3 8.6 7.1 3.3 2.4 2.3 2.4 0.7 yy 13.7 11.1 10.4 6.9 6.4 6.2 6.1 4.9 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.83x+4.28.y=0.83x+4.28. 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 10.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.6 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 8.6 7.1 3.3 2.4 2.3 2.4 0.7 yy 13.7 11.1 10.4 6.9 6.4 6.2 6.1 4.9 xx = thousands of…The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8 7.1 3.7 2.7 2.6 2.1 0.9 yy 14 10.9 9.8 7.2 6 6.3 6.1 4.5 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.86x+3.92.y=0.86x+3.92. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 5.9 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = Round to 3 decimal places. Submit QuestionQuestion 18
