A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 28 bags in which the plate gap was varied. An analysis of variance from theregression showed that b, = 0.7909 and Sp.= 0.2294.a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee?b. Construct a 95% confidence interval estimate of the population slope, B1......

Answered: A researcher developed a regression…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 14CR

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1. Which one can describe the regression estimation? A) Predict the mean value of the dependent variable bascd on valucs of the cxplanatory variables. B) Predict the mcdian valuc of the dependent variable based on valucs of the explanatory variables. C) Predict the mcan valuc of the independent variables on the basis of the dependent variable. D) Predict the median value of the independent variables on the basis of the dependent variable.
t stat ] A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in bag-sealing equipment. Data were collected on 30 bags in which the plate gap was varied. An analysis of variance from the regression showed that b1=0.7778 and Sb1=0.2411. a. At the 0.05 level of significance, is there evidence of a linear relationship between the plate gap of the bag-sealing machine and the tear rating of a bag of coffee? b. Construct a 95% confidence interval estimate of the population slope, β1. a. Determine the hypotheses for the test. Choose the correct answer below. A. H0: β1≤0 H1: β1>0 B. H0: β1≥0 H1: β1<0 C. H0: β0≤0 H1: β0>0 Your answer is not correct. D. H0: β0=0 H1: β0≠0 E. H0: β1=0 H1: β1≠0 This is the correct answer. F. H0: β0≥0 H1: β0<0 Compute the test statistic. The test statistic is enter your response here. (Round…
The mean travel time from one stop to the next on the Coast Starlight Amtrak is 129 minutes, with a standard deviation of 113 minutes. The mean distance travelled from one stop to the next is 108 miles with standard deviation of 99 miles. The correlation between travel time and distance is 0.636. a). Find the equation of the regression line for predicting travel time.
A sample of 40 individuals collects their shoe size and the height (cm) for CSI data. The scatter plot and results from a simple linear regression are recorded: HEIGHT = 126.76238 + 4.8782178 SHOE SIZE Sample size: 40R (correlation coefficient) = 0.77918855P-value < 0.0001 (a) Does the scatterplot and results show a linear correlation between shoe size and height? (b) How can you tell? (c) Will it be appropriate to use the linear regression equation given in the output? (d) Krusty the Clown wears size 8.5 shoes. According to the linear regression equation, how tall is Krusty the Clown? (e) Sideshow Bob wears size 14 shoes. According to the linear regression equation, how tall is Sideshow Bob?
The fish in my pond have mean lenth 14 inches with a standard deviation of 2 inches and mean weight 4 pounds with a standard deviation of .8 pounds. The correlation coefficient of length and weight is .4. If the length of a particular randomly selected fish is reported to be 15 inches, then what should we predict for the weight of that fish using simple linear regression?
The accompanying table lists systolic blood pressures (mm Hg) and diastolic blood pressures (mm Hg) of adult females. Find the (a) explained variation, (b) unexplained variation, and (c) prediction interval for a systolic blood pressure of 120 mm Hg using a 95% confidence level. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Click the icon to view the blood pressure data. a. The explained variation is (Round to two decimal places as needed.) C... Blood Pressures Systolic 125 106 128 108 157 97 154 111 123 114 104 128 Print Diastolic 71 67 74 64 73 52 91 69 67 74 61 67 Done X
The accompanying table lists systolic blood pressures (mm Hg) and diastolic blood pressures (mm Hg) of adult females. Find the (a) explained variation, (b) unexplained variation, and (c) prediction interval for a systolic blood pressure of 118 mm Hg using a 99% confidence level. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Systolic Diastolic 127 69 103 65 130 73 104 64 157 74 97 51 155 90 111 69 124 68 112 75 103 60 128 67
4. To assess the effect of state right to work laws on union membership (which do not require membership in unions as a precondition for employment), the following regression results were obtained from the data for 50 states in the United States for 1982: PVT, = 19.8066 – 9.3917 RTW, t= (17.0352) (-5.1086) R = 0.3522 where PVT = percentage of private sector employees in unions in 1982 RTW = 1 if right-to-work law exists, 0 otherwise (in 1982, 20 states had right- to-work laws). %3D A priori, what is the expected relationship between PVT and RTW? Do the regression results support this expected relationship? Interpret the regression results. What was the average percent of private sector employees in unions in the states that did not have the right-to-work laws?
The Great Plains Railroad is interested in studying how fuel consumption is related to the number of railcars for its trains on a certain route between Oklahoma City and Omaha. A random sample of 10 trains was taken. A residual plot and the output from the regression analysis for these data are shown in the attached picture. A) What is the actual fuel consumption for a fitted value of 102? B) What is the predicted fuel consumption for 100 railcars? Show your work. C) What is the value of the correlation coefficient for the sample? Interpret this value.
The accompanying table lists systolic blood pressures (mm Hg) and diastolic blood pressures (mm Hg) of adult females. Find the (a) explained variation, (b) unexplained variation, and (c) prediction interval for a systolic blood pressure of 120 mm Hg using a 99% confidence level. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Click the icon to view the blood pressure data. Blood Pressures a. The explained variation is 650 (Round to two decimal places as needed.) b. The unexplained variation is (Round to two decimal places as needed.) Systolic Diastolic 126 69 102 67 128 75 107 63 c. The 99% prediction interval for a systolic bloo (Round to one decimal place as needed.) 156 74 95 52 154 89 110 71 120 69 116 75 103 60 126 69 Print Done X
The price of video games often starts high when initialdemand is high and then decreases as time goes on. A scatterplot of data collected for a sample of games sug-gests a linear model is reasonable, and an analysis pro-duced a correlation coefficient of -0.78. What percent of the variation in price remains unexplained by this linearmodel?A) 4.8% B) 22% C) 39.2%D) 60.8% E) 78%
The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past year's usage and temperatures are in the following table: (a) Find a regression relating steam usage to temperature. (b) Test for significance of regression using a=0.05. (c) Find a 99% confidence interval for B1 Usage/ 1000 Usage/ 1000 Month Temp. Month Temp. Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr.o 50 452.93 47 424.84 Oct. May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 a 273.98

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