A researcher surveyed n = 13 students about the number of hours they spent in the library weekly (x) and the GPA (y) for the semester. The summary data are given as follows. x = 14.33, ỹ = 2.72, Ex² = 2986+ Ey? = 100 +2 10 Exy = 540 + 10 (i) Fit a simple linear regression between x and y. (ii) Compute the coefficient of determination and interpret it in this context. (iii) Estimate the weekly hour spent in the library for a GPA of 3.80.

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ϕ = 6, ξ = 0, ω = 7

A researcher surveyed n = 13 students about the number of hours they spent in
the library weekly (x) and the GPA (y) for the semester. The summary data are
given as follows.
X = 14.33, ỹ = 2.72, Ex² = 2986+
10
Ey? = 100 +;
Exy = 540 + ;
10
10
(i)
Fit a simple linear regression between x and y.
(ii)
Compute the coefficient of determination and interpret it in this context.
(iii)
Estimate the weekly hour spent in the library for a GPA of 3.80.
Transcribed Image Text:A researcher surveyed n = 13 students about the number of hours they spent in the library weekly (x) and the GPA (y) for the semester. The summary data are given as follows. X = 14.33, ỹ = 2.72, Ex² = 2986+ 10 Ey? = 100 +; Exy = 540 + ; 10 10 (i) Fit a simple linear regression between x and y. (ii) Compute the coefficient of determination and interpret it in this context. (iii) Estimate the weekly hour spent in the library for a GPA of 3.80.
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