Question

Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 78.8 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.6 per 10 million people? Х Click the icon to view the data. Data Table Find the equation of the regression line. y=0+ x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) Nobel Laureates 5.6 24.2 8.6 0.1 6 0.1 Internet Users Per 100 79.8 80.4 77.9 44.8 82.3 38.7 89.3 88.7 79.1 83.5 52.7 77.1 56.7 79.5 92.3 94.7 64.9 25.4 7.6 9 12.7 1.9 12.8 3.3 1.5 11.4 25.3 3.1 58 1.9 67.3 1.7 Enter your answer in the edit fields and then click Check Answer. 32.1 94.7 85.1 31.5

The best predicted number of Nobel Laureates when the number of internet users per 100 is

79.5 is .............​(Round to one decimal place as​ needed.)

Answer 1

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	2173.20	225.80	345814.05	2233.71	-3070.22
mean	103.49	10.75	SSxx	SSyy	SSxy

Sample size,   n =   21      
here, x̅ = Σx / n=   103.486          
ȳ = Σy/n =   10.752          
SSxx =    Σ(x-x̅)² =    345814.0457      
SSxy=   Σ(x-x̅)(y-ȳ) =   -3070.2      
              
estimated slope , ß1 = SSxy/SSxx =   -3070.2243/345814.0457=   -0.0089      
intercept,ß0 = y̅-ß1* x̄ =   10.7524- (-0.0089 )*103.4857=   11.6712      
              
Regression line is, Ŷ=   11.7   + (   -0.009   )*x

..............

Predicted Y at X=   79.5   is          
Ŷ=   11.67115   +   -0.00888   *79.5=   11.0

.............

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