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- Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for 8 diabetic patients. The results are presented in the following table. Left Foot Right Foot 89 86 89 87 78 78 80 81 87 82 86 85 76 80 88 89 Send data to ExcelSleep time 10 00 6 2- 0 . 1 2 Number of Caffeinated Beverages Consumed O Positive O Linear 0 Both negative and linear Please refer to the scatterplot above. How would you describe this relationship? Scatterplot O Negative 3CASE: You want to determine the degree/strength of relationship between height and weight. Variable X is the height while variable Y is the weight. Question # 1. If height increases and the weight also increases, the computed r is r= +0.85. What is the relationship and how strong is the relationship? Plot it below using the scatterplot.
- Fuel The table below shows data for the numberof gallons of gas purchased each day x of a certainweek by the 150 taxis owned by the Inner CityTransportation Taxi Company. Write the equationthat models the data.C is for cabbage - A researcher wants to know if the head weight of the cabbage is a good predictor for ascorbic acid (vitamin C) content. From a random sample of 60 cabbages, the researcher recorded the ascorbic acid content in milligrams and the weight of the cabbage head in pounds. Head weight is the X variable and Ascorbic acid content is the Y variable in this scenario. R output Coefficients: Estimate Std. Error t value Pr(>ltl) < 2e-16 *** (Intercept) 77.574 HeadWeight -7.567 3.096 25.052 1.131 -6.689 9.75e-09 *** --- Residual standard error: 7.668 on 58 degrees of freedom Multiple R-squared: 0.4355, Adjusted R-squared: 0.4257 F-statistic: 44.74 on 1 and 58 DF, p-value: 9.753e-09 What is the lower bound for a 90% confidence interval for the true slope B1 of the regression line? Give your answer to 4 decimal places. Your Answer: Answerpediatrician wants to determine the relation that exists between a child's height, x, and head circur nd head circumferences and obtains the accompanying data. Complete parts (a) through (e). Data Table A Click the icon to view the data table. Round to four decimal places as needed.) Full data set B Нead Head (b) Use the regression equation to predict the head circumference of a child who is 25 inches tall. Height, x circumference, Height, x circumference, (inches) (inches) y (inches) y (inches) The predicted value of the head circumference of a child who is 25 inches tall is 17.05 inches. (Round to two decimal places as needed.) 27.75 17.7 26.5 17.3 24.5 17.1 27 175 25.5 17.1 26.75 17.3 (c) Compute the residual based on the observed head circumference of the 25-inch-tall child in the t 26 26.75 17.5 17.3 25 16.9 27.5 17.5 The residual based on the observed head circumference of the 25-inch-tall child is inches. 27.75 17.6 (Round to two decimal places as needed.) Print Done Enter your…
- CASE: You want to determine the degree/strength of relationship between height and weight. Variable X is the height while variable Y is the weight. Question 2. If height increases and weight declines, the computed r is r= -0.65. What is the relationship between the 2 variables? How strong is the relationship? Plot it below using the scatterplot.You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 3 4 12 16 26 36 y 42 54 77 100 150 200 Complete parts (a) through (e), given Σx = 97, Σy = 623, Σx2 = 2397, Σy2 = 83,109, Σxy = 13,966, and r ≈ 0.997. A) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x B) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal…Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram (a) R2 0.90, (b) R2 0.58, (c) R2 =1 (a) Scatter diagram Explanatory (b) Scatter diagram (c) Scatter diagram Explanatory III Explanatory
- How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 67, x2 = 1265, y = 644, y2 = 93,546, and xy = 10,544. Compute r. (Round your answer to three decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should…Match the coefficient of determination to the scatter diagram. The scales on the x-axis andy-axis ar the same for each scatter diagram. (a) R2 = 1, (b) R2 = 0.98, (c) R2 = 0.65 Match each scatter diagram (I, II, and III) to the below. The diagrams are attached in the image. (a) Scatter diagram ______ (b) Scatter diagram ______ (c) Scatter diagram _______You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 3 4 12 16 26 36 y 37 46 77 100 150 200 Complete parts (a) through (e), given Σx = 97, Σy = 610, Σx2 = 2397, Σy2 = 81,914, Σxy = 13,919, and r ≈ 0.999. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = ? Σy = ? Σx2 = ? Σy2 = ? Σxy = ? r = ? (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x =? y =? y =?+?x (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be…