For Exercise, use the given data to find a variation model relating y to x. HORHAL FLORT RUTO bl DEGREE CL PRESS FOR aTb1 24 Y1 15 25 35 72 168 216 264 312 360 120 45 55 65 75 85 95 56 105 x=5
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- The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. Σx = 476, Σy = 87.1, Σx2 = 62,290, Σy2 = 2046.87, Σxy = 11121.3,and r ≈ 0.94367. x days 72 76 32 91 205y km/100 14.7 19.6 5.3 11.7 35.8 a) Use a 1% level of significance to test the claim ? > 0.(Use 2 decimal places.)t =critical t= b) Find the predicted distance (km/100) when a drift bottle has been floating for 60 days. (Use 2 decimal places.)________ km/100 c) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.)lower limit = _____…"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise: Permafresh Hylite 156 148 152 197 151 187 122 142 133 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. a. The mean and the standard deviation for the Permafresh are: Round to 3 decimal places. Round to 3 decimal places. b. The mean and the standard deviation for the Hylite are: Round to 3 decimal places. Round to 3 decimal places. c. The standard error is: SE = Round to 3 decimal places. The critical value from the distribution for a confidence interval of 99.8% is: t= Use degrees of freedom of 3. Use Technology. Round to 3 decimal places. d. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 99.8%…
- The table below shows the results from the specific gravity (S.G.) test performed in a soil laboratory including twenty samples of sand. Determine the Coefficient of Quartile Variation.Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. 203 x days y km/100 72 76 32 14.7 94 11.7 19.5 5.3 35.6 (a) Verify that Ex = 477, Ey = 86.8, Ex? = 62,029, Ey2 = 2028.68, Exy = 11036.6, and r= 0.93853. Ex Ey Ex? Ey2| Exy (b) Use a 1% level of significance to test the claim p> 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O…The following scatterplot shows the mean annual carbon dioxide (CO,) in parts (CO2) per million (ppm) measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. f) View the accompanying scatterplot of the residuals vs. CO2. Does the scatterplot of the residuals vs. CO, show evidence of the violation of any assumptions behind the regression? 16.800 A. Yes, the outlier condition is violated. 16.725 O B. Yes, the linearity and equal variance assumptions are violated. 16.650 C. Yes, the equal variance assumption is violated. 16.575 O D. No, all assumptioris are okay. 16.500 O E. Yes, all the assumptions are violated. 325.0 337.5 350.0 362.5 CO2 (ppm) OF Yes, the linearity assumption is violated. his vear, What mean temperature does
- Find the z-score z, such that P (zsZo) = %3D Zo =] %3D"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise: Permafresh Hylite 106 165 126 171 155 142 153 187 117 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. The mean and the standard deviation for the Permafresh are: ¯x= s= Round to 3 decimal places. 2. The mean and the standard deviation for the Hylite are: ¯x= s= Round to 3 decimal places. 3.The standard error is: SE = ________ Round to 3 decimal places. The critical value from the distribution for a confidence interval of 98% is: t*= ________Use degrees of freedom of 3. Use Technology Round to 3 decimal places. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 98%…For all 2017 Veterans Day celebrations, of interest is to determine the mean number of people attending the celebrations. Based on this, using both the appropriate symbo and in words, what is the parameter of interest? π the mean number of people attending all 2017 Veterans Day celebrations TT the proportion of people attending all 2017 Veterans Day celebrations μl the mean number of people attending all 2017 Veterans Day celebrations u the proportion of people attending all 2017 Veterans Day celebrations н 0 0 0 0
- A medical trial is conducted to test whether or not a certain drug can treat a certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and complete the table below to discuss the findings of the medical trial. -2 -1.5 1 15 2 25 3 -3 -25 -1 -0.5 0.5 Ho: The computed Decision: t-value is at the Ha: region. Justify your decision by writing an explanation in 3-5 sentences.A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y = b x + a b = − 1.374 a = 39.084 R2 = 0.950625 a) Use this to predict the number of situps a person who watches 10.5 hours of TV can do b) What is the value of the correlation coefficientWater is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)
