Question

The best predicted number of Nobel Laureates when the number of internet users per 100 is 78.4 is ....... round to one decimal place as needed

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 78.4 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.9 per 10 million people? Click the icon to view the data. Find the equation of the regression line. (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.)

The best predicted gross for a movie with a $10 million budget is ...........million. ​(Round to one decimal place as​ needed.)

Answer 1

Q(1) from the concept of simple linear regression we know that if y=a + bx is an simple linear regression equation then the regression equation of the estimate of ģ=âtbx where a known as intercept and b known as slope co efficient. and the Least Square Estimate ofâ=j - x 15 (x; – F)(y; -7) (x; – 7)(y; -7) and i=1 i=1 (Here y buget in million and x gross in millions ) n 15 (x, – 7) (x; – F) i=1 i=1 So here X=(43+26+.....+3)/15 = 62.46667 ,5=113+....+38)/15= 100.2667 15 15 (x; -7)(y; - 7) @ i=1 i=1 (x; -62.4667)(y; -100.2667) = 1.3077 (x; -62.4667) 15 15 (x; -7) i=1 i=1 11 i=1 and â-y-bă = 100.2667–1.3077*62.4667 = 18.5805 Cov(x, y) (Q2) in this question the formula for correlation coefficient is r(x,y)= SD(x)SD(y) 1 11 Now Cov(x,y) |(x, – 7)(y; – 5)==Ž(x, – 9)(y; – 7.475455) where I = 9, J = 7.475455 11 11 =5.527 Sd(x)=, | 13 (, – )? = 3.316625, Sd(y) = (y; – 5)2 = 2.040443 11 =1 Cov(x, y) 5.527 1(x,y)= 0.8167115 SD(x)SD(y) 3.316625*2.040443 11

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