The results of a sample of 7 data points are presented below in terms of the Average Daily Temperature (oF) and the Average Monthly Precipitation (inches):     Average Daily temperature x 86 81 83 89 80 74 64 Average Monthly Precipitation y 3.4 1.8 3.5 3.6 3.7 1.5 0.2     d- Determine the regression line equation e- Plot the regression line on the scatter plot (on same graph) f- Calculate the standard error of estimate

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The results of a sample of 7 data points are presented below in terms of the Average Daily Temperature (oF) and the Average Monthly Precipitation (inches):

 

 

Average Daily temperature x

86

81

83

89

80

74

64

Average Monthly Precipitation y

3.4

1.8

3.5

3.6

3.7

1.5

0.2

 

 

d- Determine the regression line equation

e- Plot the regression line on the scatter plot (on same graph)

f- Calculate the standard error of estimate

g- Find the 95% prediction interval for the 95oF average daily temperature

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Given:

n = 7

Formula Used:

The equation of regression line is:

Y = a + bX

b = nXY-XYnX2-X2

a = Y-bXn

Standard error of estimate s = SSEn-2

SSE = SSyy-b×SSxy

SSyy = Y2-Y2n

SSxy = XY-XYn

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g-Find the 95% prediction interval for the 95oF average daily temperature

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