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The analyst randomly surveyed nine JSE-listed companies and recorded their inventory turnover (x) and their earning yield (y). The following table shows the part of the data.


Inventory Turnover (x) 3 5 4 7 6 4 8


Yield (y) 10 12 8 13 15 10 16



(a) Compute the correlation coefficient


(b) Interpret the correlation coefficient


(c) Compute the coefficient of determination


(d) Interpret, in context, the coefficient of determination


(e) Fit linear trend equation


(f) Estimate the GDP by using the trend line equation


(g) Interpret, in context, the gradient/slope of the trend line


(h) Forecast the yield when inventory turnover is 9.



Prove that there are infinitely many primes


Let "p_1,p_2,\\dots,p_n" be distinct pisitive primes. Show that "(p_1p_2\\dots p_n)+1" is divisible by none of these primes.


Consider the imagery you created in your mind as you interacted with the written version of The Open Window. Describe this imagery and discuss whether it helped you understand the story. Did the imagery or imagined tone change when you listened to the audio? How?


Show that if a nd b are positive untegers, then ab=LCM(a,b)*GCD(a,b)


If there are integers a, b, s, and t such that, the sum at+bs=1, show that GCD(a,b)=1


Let "a" and "b" be two integers. If "a|b" and "b|a", them show that "a=\\pm b"

For theta -2 theta X-ray diffraction using Cu K, (lamda = 1.54 A° ) radiation from cubic crystals(a= 3.5 A°). How many diffraction peaks are in the 0°<2theta<90° range?. Give the index of the lattice for each diffraction peaks

Find x if, 2^sin²x + 2^cos²x = 3


Describe how are you going to prepare a 250 mL solution of 5 (w/v)% NaCl.


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