Annual high temperatures in a certain location have been tracked for several yea

Question

Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). 2 11.75 3 11.22 4 7.29 58.46 6 3.03 4 Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity

Explanation / Answer

Ans:

Regression Equation(y) = a + bx

Slope(b) = (NXY - (X)(Y)) / (NX2 - (X)2)

Intercept(a) = (Y - b(X)) / N

Regression eqn:

y=bx+a

y=-1.7757x+15.6157

x y xy x^2 y^2 2 11.75 23.5 4 138.063 3 11.22 33.66 9 125.888 4 7.29 29.16 16 53.144 5 8.46 42.3 25 71.572 6 3.03 18.18 36 9.181 7 4 28 49 16 Total= 27 45.75 174.8 139 413.85 slope,b= -1.7757 y-intercept,a= 15.6157

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