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- Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.Suppose the line y =2.8333x −22.4967describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y. (a) Predict the distance a golf ball will travel if the club-head speed is 100 mph. The golf ball will travel ___ yards. (round to the nearest tenth) (b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?for qs 27 option b, how do we get the value of SSE in this case ?
- The number of phone calls between two cities, N, during a given time period varies the directly as the populations p1 and p2 of the two cities and inversely as the distance, d, between them. If 36,000 calls are made between two cities 310 miles apart and the populations of the cities are 31,000 and a 180,000, how many calls are made between two cities with populations of 80,000 and a 150,000 that are 485 miles apart?Suppose the following equation is estimated where sleep is measured in minutes and work in hours: sleep = 3638.25 – 16.8*work - 15.13*educ + 2.20*age n=706, R2 =.113. If someone works three more hours per week, by how many minutes is sleep predicted to fall?For a car with standard tires stopping on dry asphalt, its speed S (in mph) can be found from the length of its skid marks according to S = 9.4L0.37 where L is the length (in feet) of the skid marks. Find the error and the relative error in the speed for the skid-mark length if the error in measuring the length is ±10 feet.† (Round your answers to two decimal places.) 110 feet
- If the coefficient of determination between two independent variables is 0.33, what is the VIF? VIF= (Round to three decimal places as needed.)Please show formulas thank tou and on TI-84 calculator A test of H0:ρ=0H0:ρ=0 versus Ha:ρ≠0Ha:ρ≠0 determines that there is evidence of a linear relationship between the variables x and y at the 10% level. Which of the following is a possible p-value for this test? The p-value could be any of 0.06, 0.11, 0.82, or 1.15. 0.06 0.11 1.15 0.82 In a sample of 390 people attending a concert, 60% stated that the venue was a good location for that type of concert. What p-value is calculated when testing Ho:p≤0.65Ho:p≤0.65 versus p>0.65p>0.65 ? 0.0194 0.0219 0.9808 0.6000 0.0192 A hypothesis test to test the claim about a population mean in which the alternative hypothesis is Ha:μ≠225Ha:μ≠225 is conducted. A random sample was collected with the results of ¯x=200x¯=200 and s=54.2s=54.2 for a sample of size 14. What are the critical values for this test if the significance level is 5%? ±2.145 ±1.726 ±2.160 ±1771 ±1.96How does the speed of a runner vary over the course of a marathon (adistance of 42.195 km)? Consider determining both the time to run thefirst 5 km and the time to run between the 35-km and 40-km points, andthen subtracting the former time from the latter time. A positive value ofthis difference corresponds to a runner slowing down toward the end ofthe race. The accompanying histogram is based on times of runners who participated in several different Japanese marathons ("Factors AffectingRunners' Marathon Performance," Chance, Fall, 1993: 24-30).What are some interesting features of this histogram? What is a typicaldifference value? Roughly what proportion of the runners ran the latedistance more quickly than the early distance?
- The line of best fit through a set of data isy=15.356−1.502xy=15.356-1.502xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 20?y = Round to 1 decimal place.3. The Imagineers at Disney are designing a new Mickey balloon with a birthday hat on it. They have come up with two designs (indicated by the red or green lines below). Find the value of x.The table shows data collected on the relationship between the average number of minutes spent exercising per day and math test scores. The line of best fit for the data is yˆ=0.44x+65.2. Minutes 25303540 Test Score 76798083 (a) According to the line of best fit, the predicted test score for someone who spent 42 minutes exercising is 83.68. (b) Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: The estimate, a predicted test score of 83.68, is both reasonable and reliable. The estimate, a predicted test score of 83.68, is unreliable but reasonable. The estimate, a predicted test score of 83.68, is both unreasonable and unreliable. The estimate, a predicted test score of 83.68, is reliable but unreasonable.
