Consider the data sets below, determine if it is reasonable to assume that y is proportional to x. If it is, approximate the constant of proportionality. If it is not, describe why this assumption is not reasonable.
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Consider the data sets below, determine if it is reasonable to assume that y is proportional
to x. If it is, approximate the constant of proportionality. If it is not, describe why this
assumption is not reasonable.
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- Q 6: (Using the Q. 5 data) If the cost incurred is OMR 20 Million, what will be the volume of revenue?2. The data table below shows the instantaneous velocity of a car every 5 minutes. Use simpson's rule to determine the displacement of the car in the first 30 minutes. What is the average speed of the car for the entire 30 minutes? Time (min) Velocity (m/s) 25 5 28 10 32 15 30 20 29 25 26 30 23A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.67 0.70 0.93 0.95 1.09 1.01 1.29 1.24 1.41 1.56 1.73 1.80 Units of BCI (Y) 14.4 20.9 16.2 25.0 18.9 19.8 20.7 22.1 23.9 24.9 27.6 29.7 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
- * Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates In the table given below, experimentally obtained velocity (dependent variable) vs time (independent variable) data is provided. Please answer the following questions using the data. Time (t) Velocity (v) 0.0 1 0.8 1.4 3 2.1 4 2.6 3.3 7 3.9 9. 4.9 10 6.0 12 8.6 14 14.4 a) What is the total displacement between t = 0- 14 seconds. Please note that displacement is obtained via X = [V dt. Please use a combination of numerical integration methods and prefer to use as many as high accuracy methods as possible. b) Please calculate the acceleration at t = 2 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt c) Please calculate the acceleration at t = 14 seconds using the most accurate method av possible. Please note that acceleration is obtained via a = dtO Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. Check for Updates In the table given below, experimentally obtained velocity (dependent variable) vs time (independent variable) data is provided. Please answer the following questions using the data. Time (t) Velocity (v) 0.0 1 0.8 1.4 2.1 4 2.6 3.3 7 3.9 4.9 10 6.0 12 8.6 14 14.4 a) What is the total displacement between t = 0-14 seconds. Please note that displacement is obtained via X = SV dt. Please use a combination of numerical integration methods and prefer to use as many as high accuracy methods as possible. b) Please calculate the acceleration at t = 2 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt c) Please calculate the acceleration at t = 14 seconds using the most accurate method dv possible. Please note that acceleration is obtained via a = dt'Blend Images/Superstock 17 mean load the wood apart. 16.26 Bone loss by nursing mothers. Breast-feeding ped lired to pull 1.3 the Kes F ds.' 4step ers secrete calcium into their milk. Some of the cal um may come from their bones, so mothers may La bone mineral. Researchers measured the percen change in mineral content of the spines of 47 mother the 8. data: BONELS -4.7-2.5-4.9 -2.7 -0.8 -5.3 –8.3 –2.1 -6.8-43 2.2-7.8 -3.1 -1.0 -6.5 -1.8 -5.2 -5.7 -7.0 -22 -6.5-1.0-3.0 -3.6 -5.2 -2.0 -2.1 -5.6 –4.4 –3.3 20 -4.0-4.9-4.7-3.8 -5.9 -2.5 -0.3 -6.2 -6.8 0.3 -2.3 0.4 -5.3 0.2-2.2 -5.1 (a) The researchers are willing to consider these a- 47 women to be an SRS from the population of all nursing mothers. Sup pose that the percent change in this population has standard deviation o = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribu- tion quite closely. (Don't forget that you need both a O and a-0 stem because there are both positive and %3D nou och negative…
- Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. HINT [See Example 1.] Interval: [0.1, 0.2] _____________(SELECT)(miles, hours, kph, mph) t (hours) 0 0.1 0.2 D(t) (miles) 0 5 10Police Q.3//_Police are 30 feet from the side of the road. Their radar sees your car approaching at 80 ft/sec) when your car is 50 feet away from the radar gun. The speed limit is to be ( 95 ft/sec). Are you speeding? 30 D-50 Road 0.4// In a measurement of a cylindrical shaft , an error in its diameter of 3% was made .Find the percentage error in its weight. 0.5/| A factory intend to manufactures an open-topped can with a volume (500 cm).What leylinder ) to use the least materials for manufacturing this can. hotinder are the ratio of ( 0.6LSketeh the granh +he fellouing f.notiong hel olloritionl neinta tionCan you use OLS to estimate B the model y; = e? Yt
- A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.75 0.89 0.94 1.12 1.16 1.29 1.35 1.48 1.56 1.73 1.80 Units of BCI (Y) 16.0 18.9 15.6 21.1 23.6 24.9 26.1 29.2 19.3 30.7 33.7 29.4 Find the coefficient of determination between pH and BCI (round to the nearest hundredth; place your answer in the box below)Speedometer readings for a vehicle (in motion) at 4-second intervals are given in the table. t (sec) v (ft/s) 4 8 12 16 20 24 22 39 49 48 35 Estimate the distance traveled by the vehicle during this 24-second period using the midpoint rule and three sub-intervals, M3. M3 = ft Question Help: D Post to forum Submit QuestionEntered Answer Preview Result 23.5 23.5 correct 9.5 9.5 incorrect At least one of the answers above is NOT correct. (a) The temperature of a 22 m long metal bar is 14°C at one end and 33°C at the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar? Tave = 23.5 °C (b) Explain why there must be a point on the bar where the temperature is the same as the average, and find it. [Let x be the distance along the bar from zero.] x = 9.5 m along the bar.