Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell “SA” (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. Consider the following data showing the weight and price for 18 SA helmets.
Weight (oz) | Price ($) |
64 | 248 |
64 | 278 |
64 | 200 |
64 | 200 |
58 | 300 |
47 | 700 |
49 | 900 |
59 | 340 |
66 | 199 |
58 | 299 |
58 | 299 |
52 | 479 |
52 | 479 |
63 | 369 |
62 | 369 |
54 | 559 |
63 | 250 |
63 | 280 |
- a. Develop a
scatter diagram with weight as the independent variable. - b. Does there appear to be any relationship between these two variables?
- c. Develop the estimated regression equation that could be used to predict the price given the weight.
- d. Test for the significance of the relationship at the .05 level of significance.
- e. Did the estimated regression equation provide a good fit? Explain.
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Chapter 14 Solutions
CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM
- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardAutomobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. Suppose the following data show the weight and price for 18 SA helmets. Weight (oz) Price ($) 64 248 64 278 64 200 64 200 58 300 47 700 49 900 59 340 66 199 58 299 58 299 52 469 52 479 63 359 62 369 54 549 63 250 63 280 (a) Develop a scatter diagram with weight as the independent variable. A scatter diagram…arrow_forwardAutomobile racing, high performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a non-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell “SA” (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight (in oz), since lower weight helmets tend to place less stress on the neck. The data is in the file RaceHelmets. a. Interpret the slope coefficient. ( is the linear relationship positive or negative ) b.Test for a significant relationship. Use α = 0.05. (PLEASE USE P-VALUE APPROACH STATING THE NULL AND ALTERNATIVE HYPOTHESIS) file RaceHelmets. Weight 64 64 64 64 58 47 49 59 66 58 58 52 52 63 62 54 63 63…arrow_forward
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