L2 Sketching Lines In Exercises 11 and 12, sketch the lines through the point with the given slopes on the same set of coordinate axes. Point Slopes 11. (2, 3) (a) 0 (b) 1 (c) 2 (d) – 3 12. (-4, 1) (а) 3 (b) –3 (c) { (d) Undefined Estimating the Slope of a Line In Exercises 13 and 14, estimate the slope of the line. 13. 14. y
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- Estimate the standard errors of the intercept and slope se B0 = ? (3 decimal places) se B1 = ? (3 decimal places) Test the hypothesis Ho: B0 = 0 versus H1: B0 not equal to 0 using a = 0.01 to = ? (3 decimal places) Test the hhpothesis Ho: Bo = 2500 versus H1 : B0 > 2500 using a 0.025 to = (3 decimal places)Use least-squares regression to fit a straight line y = f(x) = Ax+B to: xi -8 -3 0 4 6 yi 7 4 2 1 -2 Along with the slope (A) and intercept (B), A= ? B=?As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily minimum and maximum temperatures were 5.8°C and 15.1°C, respectively. Between 1891 and 1968, these average temperatures rose 0.019°C/yr and 0.011°C/yr, respectively. Assuming the increases were linear, find the year when the difference between the minimum and maximum temperatures was 9C, and determine the corresponding average maximum temperature.
- 2. Parameterize the line segment that joins the points P(1,2,0) and Q(1,3,-1)In Exercises 33–35, find the point on the given curve closest tothe specified point. Recall that if you minimize the square ofthe distance, you have minimized the distance as well. 33. (0, 0) and x3 + y3 = 134. (0, 0) and x2 + y3 = 135. (0, 0) and √x +√y = 1Q, 1: Environtech Engineering, a company that specializes in the construction of antipollution filtration devices, has recorded the following sales record over the last 9 years: Year 1987 1988 1989 1990 1991 1992 1993 1994 1995 Sales (x 100,000) 13 15 19 21 27 35 47 49 97 a) Plot these data with suitable scale and define shape. b) Develop the linear estimating equation that best describes these data, and plot this line on the graph from part (a). c) Develop the second-degree estimating equation that best describes these data, and plot this curve on the graph from part (a). d) Does the market to the best of your knowledge favor (b) or (c) as the more accurate estimating method?
- fc z2 dx+ x2 dy +y2 dz, C is the line segment from (1,0,0) to (4,1,2)Determine the best (according to sum-of-squares-measure) curve y = Axb, through the data above. Transformed equation ln(y) = ln(A) + b ln(x) or Y = a + bX.A sample of the systolic blood pressures of seven men selected at random compared to their ages (in years) gives the following results: Age, x 16 25 39 45 49 64 70 Systolic pressure, y 109 122 143 132 199 185 199 Find the equation of the line in y = mx + b form, ŷ = ______________