6. Based on the results of this hypothesis test, there is extremely strong evidence v of a linear relationship between the explanatory and response variables. 7. Calculate a 95% confidence interval for the slope, B. ( 0.5807 0.3915
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- Can the average rate of change of a function be constant?Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.The slope is the estimated average value of dependent variable when the independent variable is 0. True False
- The variation of Y around its mean can be decomposed into which two parts?The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. I need help with sketching (d) and (e)A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is.x₁ = 1.15 and S₁ = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and s2 = 0.09. Note that an increase in film speed would lower the value of the observation in microjoules per square inch. Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. The appropriate decision for the test is to reject the null hypothesis True False
- The line of best fit through a set of data is Y = – 11.943 + 2.982x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 100? ŷ = Round to 1 decimal place.What would an outlier look like on box plotSystolic blood pressure (mm Hg), age (yrs), weight (kg), and height (cm) were measured. The results are summarized in the following table. Estimate Std. Error t value Pr(>lt|) (Intercept) 121.38821 32.46754 3.739 0.0201* 0.20645 0.0645 Age Weight Height 3.201 0.0329* 0.1495 0.12128 0.233 0.2852 -0.09856| 0.16826 -0.586 0.5895 What's the predicted Systolic blood pressure (SBP) of a person who is 50 years of age, weighs 75 kg, and has a height of 160 cm? Choose an option that is closest to your answer. Predicted SCB = 127.15 Predicted SCB = 118.22 Predicted SCB = 141.60 Predicted SCB = 95.64
- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+ba=-0.719b=37.806r2=0.484416r=-0.696 Use this to predict the number of situps a person who watches 11.5 hours of TV can do (to one decimal place)The line of best fit through a set of data is y = 41.762 2.926x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 50? y = Round to 1 decimal place.