The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589
See table for sum of values.
The regression equation is:
y=α+βx
β = [tex]\frac{Sxx}{Syy}[/tex]=6995-97799779[tex]\frac{6995-9\times\frac{779}{9}\times\frac{77}{9}}{68613-9(\frac{779}{9} )2}[/tex]= 0.449
α=y-βx= 779-(0.449)7799 = =-30.27
The equation is y=-30.27+0.449x
Where y = predicted variable; x = independent variable = 0.449; - 30.27 = intercept/ slope
Constructing a 91% prediction interval for y:
x = 910
Inputting x = 91 into the regression equation : y = 0.449(91) - 30.27
y = 40.859 - 30.27 = 10.589
Prediction interval = y pm error margin
To save computing time, error margin (E) can be obtained using the online error margin calculator.
Obtained error margin (E) value = 2.3398
(10.589- 2.3398, 10.589+ 2.3398)
(8.2492, 12.9288)
(8, 13)
The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589
Know more about equation of regression: https://brainly.com/question/14852545
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