Concept explainers
The data given in the previous exercise on x = Call-to- shock time (in minutes) and y = Survival rate (percent) were used to compute the equation of the least-squares line, which was
ŷ = 101.33 − 9.30x
The newspaper article “FDA OKs Use of Home Defibrillators” (San Luis Obispo Tribune, November 13, 2002) reported that “every minute spent waiting for paramedics to arrive with a defibrillator lowers the chance of survival by 10 percent.” Is this statement consistent with the given least-squares line? Explain.
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- If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?arrow_forwardThe weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are displayed in the scatterplot. The equation ŷ = 17.4 + 0.5x is called the least-squares regression line because it is least able to make accurate predictions for the data. makes the strongest association between weight and height. minimizes the sum of the squared distances from the actual y-value to the predicted y-value. maximizes the sum of the squared distances from the actual y-value to the predicted y-value.arrow_forwardThe weight (in pounds) and height (in inches) for a child were measured every few months over a two- The equation ý = 17.4 + 0.5x is called the least- squares regression line because it year period. The results are displayed in the scatterplot. O is least able to make accurate predictions for the data. O makes the strongest association between weight and height. A Child's Weight and Height 40 O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. 36 O maximizes the sum of the squared distances from the actual y-value to the predicted y-value. 32 28 24 20 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 4042 Weight (Pounds) Height (Inches)arrow_forward
- The weight (in pounds) and height (in inches) for a child were measured every few months over a two- The equation ŷ = 17.4 + 0.5x is called the least- squares regression line because it year period. The results are displayed in the scatterplot. O is least able to make accurate predictions for the data. A Child's Weight and Height O makes the strongest association between weight and height. 40 O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. 36. O maximizes the sum of the squared distances from the actual y-value to the predicted y-value. 24 20 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 Weight (Pounds) Mark this and return Save and Exit Next Subrmit rch 65°F DELL F2 F3 F4 E5 F6 F7 F8 F9 F10 F11 PriScr F12 Insert %23 %24 & 3. 4 6 8 10 W T Y 6 D F G H J K Height (Inches)arrow_forwardA recent study showed that the hours a person exercised in a week affected the individual'sresting heart rate. It was computed that r = -.68 and the least squares regression line was?̂ = 83-1.4x, where x is the hours exercised and y is the resting heart rate. a. What does the value -.68 tell you about the relationship between hours exercisedresting heart rate?arrow_forwardBiologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length. A least-squares regression on the data he collected produces the equation ŷ = 37.67 + 33.18x where x is metatarsal-to-femur ratio and y is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94. Construct a 96% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places. contact us help 6:42 PM povecy polcy terms of use careers A E O 4») 18 -క90.4 58 12/14/2020 a 17 |耳 即 delets prt sc insert 112 19 18 + 16 backspace f5 fAarrow_forward
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