Question

Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) X у 10 7.46 8 6.78 13 12.73 9 7.11 11 7.82 14 8.85 6 6.08 4 5.39 12 8.15 7 6.43 5 5.73 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. OA B. OC. OD y у 16+ 16- 16- AY 16-1 12- 12- 12- 12- a . 8- 8- 8- •••••••••• ........ 4- 4 4- 4- . 0- 0- 0- 0- 0 4 8 12.16 4 8 12 16 4 8 12 16 4 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.)
The best predicted number of Nobel Laureates when the number of internet users per 100 is 79.9 is...........(Round to one decimal place as​ needed.)

Answer 1

(b) from the data, calculate {x= aq Ey= 82.53 ă = 9 I x= 1001, Iy' = 660.3187, y = 7.503 Exy = 797.74 , n = 11 The correlation coefficient is, neay - (2x) (sy) nex² - (Ex) nEy - (24) (11 x 797.74) - ( 994 82.53) -7 (11x1001) - (aa)² (11X 660.3187) - (82.53) ? 0.817 => r = 0, 817353899 N r=0.817

Let, the equation of regression ession line it bxe at b oo nExy - (1x) (ly) where, b = byx = nex² - (2x)2 â ý - 5 s (11x797.74) - aaa 82.53) Now, 1. (11 X 1001) - (82.53)? ay i = 0.1439759345 ~ 0.144 b = 0.144 cê, a a - 7,503 (0.1 144 X 4) - 6.207 N 6.2 å= 6.2 :. 6.2 t 0.144 a. Regression Equation: y =

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