Cotton Percentage 15 20 25 30 35 1 7 12 14 19 7 Observations 2 7 17 18 25 10 3 15 12 18 22 11 4 11 18 19 19 15 5 9 18 19 23 11 (a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use a P-value approach. (b) Plot average tensile strength against cotton percentage and interpret the results. c) Which specific means are different? (d) Perform residual analysis and model checking.
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- Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,865.5782 1 1,865.5782 39.56 Residual 1,320.4934 28 47.1605 Total 3,186.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 13.7523 3.0957 3.672 Distance–X 6.3449 1.0088 6.29 a-1. Write out the regression equation. (Round your answers to 3 decimal places.) a-2. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? How much damage would…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,815.5782 1 1,815.5782 40.82 Residual 1,245.4934 28 44.4819 Total 3,061.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 13.3334 3.0617 3.556 Distance–X 4.7711 0.7468 6.39 Click here for the Excel Data File a-1. Write out the regression equation. (Round your answers to 3 decimal places.) a-2. Is there a direct or indirect relationship between the distance from the fire station and…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 c-1. Determine the coefficient of determination. (Round your answer to 3 decimal places.) c-2. Fill in the blank below. (Round your answer to one decimal place.) d-1. Determine the correlation coefficient. (Round…
- Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 Click here for the Excel Data File d-1. Determine the correlation coefficient. (Round your answer to 3 decimal places.) d-2. Choose the right option. d-3. How did you determine the sign of the correlation…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 e-1. State the decision rule for 0.01 significance level: H0 : ρ = 0; H1 : ρ ≠ 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) e-2. Compute the value of the test…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 Click here for the Excel Data File a-1. Write out the regression equation. (Round your answers to 3 decimal places.) a-2. Is there a direct or indirect relationship between the distance from the fire station and…
- A textile manufacturer suspect that tensile strength of a synthetic fiber is related to percentage of cotton in the fiber. Data for experiments to investigate this matter is shown below in picture. i. Perform the analysis of variance for the data given. ii. Based on the results in part (i), determine if the fiber strength is affected by the percentage of cotton."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 two types of treated fabrics: Permafresh 15 12 16 13 11 14 10 Hylite 16 20 18 15 19 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 90% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (x)251621529582722764268691436Cost(y) 251 35.6388.7383.7782.6699.86110.3253.8497.8374.68 a. A student calculates a linear model y= x+ . (Please show your answers to two decimal places) b.Use the model to estimate the cost when number of pages is 207.Cost = $ (Please show your answer to 2 decimal places.)
- Ation It was found that the correlation coefficient between two variables calculated from a sample of size 25 was 0.37. Does this show a significant correlation?Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx)Cost(yy)84288.7889496.4633737.3328836.9223037.7982102.3824735.2372980.6126729.03 A student calculates a linear modelyy= xx+ . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 293.Cost = $ (Please show your answer to 2 decimal places.)The scatter plot shows the sizes and annual rents of some office spaces in the downtown area of a city. SIZE AND ANNUAL RENT OF OFFICE SPACE 140,000 105,000 70,000 35,000 0. 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 office Space (square feet) What would the line of best fit reveal about these data? O There is a weak positive relationship between the cost of rent and the size of the office space. O There is a strong positive relationship between the cost of rent and the size of the office space. O There is a weak negative relationship between the cost of rent and the size of the office space. O There is a strong negative relationship between the cost of rent and the size of the office space. Rent (dollars)
