The table below presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. Diameter Strength 51 54 69 81 75 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 79 89 101
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- The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel. Below are the data collected and the regression equation. Diameter Strength 200.1 813.7 210.1 785.3 220.1 960.4 230.1 1118.0 240.0 1076.2 Strength = -941.6992 + 8.5988*Diameter a)The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value. b)what is the predicted strength of a weld with a diameter of 51?"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 Hylite 14 20 11 17 12 15 10 14 16 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 95% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]"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 Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% con fidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
- A normal quantile plot of the residuals from this regression model should look like 1. Randomly scattered noise (watermelon seeds) 2. A normal distribution 3. A parabola 4. A uniform distribution 5. A line 6. Symmetric"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 Hylite 16 16 14 19 10 20 11 14 13 18 12 15 15 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.Give a 95% confidence interval for the difference in mean wrinkle recovery angle: ( , ) [three decimal accuracy] [three decimal accuracy]What parametric test is used when you want to compare more than two independent samples? a. Chi-square b. Independent t-test c. z-test d. one-way ANOVA
- The data show the time intervals after an eruption (to the next eruptuon) of a certain geyser. A) find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 143 feet. B) Is there outliers C) use a 0.05 significance level to determine how strong is the correlation. Height (ft) 115. 133. 137. 140. 99. 112. 108. 126 Interval after (min) 75 85 94 85 66 88. 68. 82A. An article in the Journal of Sound and Vibration described a study investigating the relationship between noise exposure and hypertension. The data given in the table are representative of those reported in the article. Blood ID Noise Pressure Blood ID Noise Pressure (decibels) Pressure (decibels) Pressure 65 11 4 83 1 63 12 4 90 2 65 13 7 90 3 3 71 14 8. 88 4 2. 75 15 4 88 4 81 16 95 1 80 17 8. 96 3 96 18 9. 92 8 5 85 19 7 100 1 80 20 6. 100 10 3 Solution: 1. Documentation: Excel output just like in PT 1 and 2. 2. Do these data provide sufficient evidence that there is a positive linear relationship between the two variables? 3. What does R^2 imply?A rocket engine was produced by combining an igniter with a propellant source. The “shearing force” of the weld was measured over time. Determine the relationship between two parameters with Regression.