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- 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.H.: µ = 47.6 and H, : µ < 47.6 where u = the mean age of teachers at Ravenwood High School. The calculated p-value is 0.023. What conclusion will you make at a = 0.10? O Reject the H. O Fail to reject the H. O Reject the H. O Fail to reject the Haa. What is the equation of the normal line to the curve 2x3+2y3-9xy=2 at the point (0,1)? b. Graph the function and the normal line.
- Provide an appropriate response. Find the normal to the curve x2 + y² = 2x + 2y that is parallel to the line y +x = 0. O A. y = -x + 2 B. y = x - 2 O C. y = -x - 2 O D. y = x+ 2Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 036912036912xy A scatterplot has a horizontal x-scale from 0 to 12 in increments of 1 and vertical y-scale from 0 to 12 in increments of 1. Eight points are plotted, where four points, (3, 1), (3, 2), (4, 1), and (4, 2), form a square in the lower left of the scatterplot and four points, (8, 8), (8, 9), (9, 8), and (9, 9), form a square in the upper right of the scatterplot. a. Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women. Choose the correct answer below. A. There does not appear to be a linear correlation because the points do not form a line. B. There appears to be a linear correlation because…Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 036912036912xy A scatterplot has a horizontal x-scale from 0 to 12 in increments of 1 and vertical y-scale from 0 to 12 in increments of 1. Eight points are plotted, where four points, (3, 2), (3, 3), (4, 2), and (4, 3), form a square in the lower left of the scatterplot and four points, (7, 9), (7, 10), (8, 9), and (8, 10), form a square in the upper right of the scatterplot. Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women. Choose the correct answer below. A. There does not appear to be a linear correlation because the points do not form a line. B. There does not appear to be a linear correlation because the points form an obvious…
- Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 036912036912xy A scatterplot has a horizontal x-scale from 0 to 12 in increments of 1 and vertical y-scale from 0 to 12 in increments of 1. Eight points are plotted, where four points, (2, 1), (2, 2), (3, 1), and (3, 2), form a square in the lower left of the scatterplot and four points, (9, 9), (9, 10), (10, 9), and (10, 10), form a square in the upper right of the scatterplot. Question content area bottom Part 1 a. Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women. Choose the correct answer below. A. There does not appear to be a linear correlation because the points do not form a line. Your…Data for 64 male college athletes was collected. The data on weight (in pounds) are roughly bell shaped with x = 151 and s= 22. Complete parts a and b below. a. Give an interval within which about 68% of the weights fall. (Type a whole number.)A researcher tested two new exercise routines, PowerHour, and MightyFifty on reducing heart rate. For Power Hour, each participant performs a routine consisting of 50 each of jumping jacks, push-ups, and sit ups in two 30-minute sessions every week for 6 weeks. With the MightyFIfty, the participants perform the same routine but only for a total of 50 minutes each week. At the end of the six week period, he measured the heart rate of the participants. At the beginning, the mean of participants' heart rate was 71.5.A the end of the study, the mean heart rate of 6 participants in the PowerHour program was 69.5 with variance of 2.1, while that of 5 participants in th Mighty-Fifty program was 68.9 with standard deviation of 1.5. The researcher concluded that the MightyFifty Program is significantly better in lowering the heart rate than the PowerHour Program. Is his claim true? Answer by first completing the calculation of each of the following and then explaining the t-value obtained! Copy…
- wwww. .2 2. x+x +元 dxp X-X 2. 8.Describe the unexplained variation about a regression line in words and in symbols. y IX (x₂, Yj) • (,,))) (x, y) y = y X C Choose the correct answer below. O A. The unexplained variation is the sum of the squares of the differences between the y-values of each ordered pair and the mean of the y-values of the ordered pairs. B. The unexplained variation is the sum of the squares of the differences between the observed y-values and the predicted y-values. C. The unexplained variation is the sum of the squares of the differences between the predicted y-values and the mean of the y-values of the ordered pairs. The unexplained variation in symbols can be described by the expression2. The line of best fit for a data set is y = 1. 1x + 3. 4. Find the residual for each of the coordinate pairs, (x, y). a. (5,8.8) b. (2.5,5.95) c. (0,3.72) d. (1.5,5.05) e. (-3,0) f. (-5,- 4.86) 284 ort pe ADOS SU 14