How do I calculate the linear trend line using the y intercept to find the temperature while at zero
Added by Whitney H.
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You need at least two points with known temperature values (y) and corresponding independent variable values (x), for example, time or another variable. Show more…
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Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x y 4 34.6 5 36 6 37 7 39.4 8 37.9 9 37.9 10 40.7 11 39.7 12 41.3 13 40.3 14 42.3 The equation is ŷ = 0.65x + 32.94 Interpret the slope: For each additional year, the annual high temperature will increase by 0.65 degrees on average. For each additional 32.94 years, the annual high temperature will increase by 1 degree on average. For each additional 0.65 years, the annual high temperature will increase by 1 degree on average. For each additional year, the annual high temperature will increase by 32.94 degrees on average. Interpret the y-intercept: In 2000, the temperature was about 32.94. In 2004, the temperature was about 0.65. In 2014, the temperature was about 42.3. It does not make sense to interpret the intercept in this scenario. In 2004, the temperature was about 32.94.
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The data below can be fit to a line in order to determine the gradient (slope) and initial conditions (y-intercept). Determine the y-intercept of the best linear fit to the following data: x = 85, 210, 315, 395, 500, 620, 700, 805, 907, 1040 y = -1.995, -2.137, -2.459, -2.958, -3.110, -3.300, -3.781, -4.200, -4.262, -4.620
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Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). x | y 2 | 32.16 3 | 32.59 4 | 30.92 5 | 35.25 6 | 33.38 7 | 33.81 8 | 37.14 9 | 34.77 10 | 36.5 11 | 38.83 12 | 38.96 13 | 39.79 14 | 41.62 The equation is y = Interpret the y-intercept of the equation: In 2002, the temperature was about 29.55. In 2014, the temperature was about 41.62. In 2002, the temperature was about 0.78. In 2000, the temperature was about 29.55.
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