Question

Statistics Question Help Please

Exercise 2: In a study, scientists examine data on the "Sea temperature" (variable r, in celsius) and "Coral growth" (response y, in millimetres) over a several-years period in the Gulf of Mexico and the Caribbeans. The scatterplot in graph A displays the relationship between and y 262 26.7 263 264 26.5 26.0 Sea Tamperature Answer the following questions providing all the mathematical details. 1. Which regression line (in graphs A and B) fits well the scatterplot? (A) (B) 26.1 26 2 26 7 26.3 2 5 283 24 2.5 27 Temeralre Sea Taroesture 2. In graph A, find the intercept a and slope b of the regression line (explain your answer) 3. Interpret the slope b in the context of the problem. 4. Predict the value of Growth from a Temperature = 30. 5. Suppose = 26.48 and s = 0.21 are the mean and standard-deviation of a, and r = 0.81 is the correlation. What are the values of ỹ and s? (explain mathematically your answer) 6. Does this regression method accurately predict well the Growth? Explain.

Answer 1

eal swesT gegreuta n ngoA fitk oet beraute taRe vak sp s pke tat tor dplabu Setteuplat Coral deuou hen b 6 behwe puolictd ad aisa va valw at shceypofat 26.6,8.) Line pasic 1.6 (30-2 6.1 4.2 1.6x3. 9.2 2.96 7.2 spe is 9.7-7-9 1.6 A thi ine ros Mal So Pl 2649 tn -9.2 -I6 (x-26.1) eaah 26.8-26.1 +4.2 1 x.23 +G.2 8.5.92 26-1X1-6 50.96 7-9.2 Nalu slape -1-6 megative sip nphy tlat the selata. avie sly puspoctial x ad