Question

An agronomist is trying to Predictor analyze the fafcting the Variable length of rice heads grown in the Indian subcontinent, She Number of observations SE (1H10 t-ratio For testing 3.5351 0.8569 28 0.2424 collected data on the variablesX 0.1465 28 5.015 2 0.7347 amount of post- monsoon rainfall X, in mm; amount of 2.3692 0.5994 23 0.253 18 0.636 0.731 40.4649 monsoon ra mm, transplantation time of the seeds X3, in days, length of pruning X4, in cm. Simple regressions were used to model the length of the rice head produced Y, in mm. The above table summarizes results of each model. Complete parts a through c a) At 0.01% level of significance, state if the amount of monsoon rainfall affects the length of rice heads At 0.01% level of significance, the critical value of t distribution with 28-2-26 degrees of freedom is Thus, we conclude that monsoon rainfall V the length of rice heads Type an integer or decimal rounded to four decimal places as needed.) b) Without looking at the t- ratio, state why length of pruning is not associated with length of rice heads. Choose the correct answer below O A. SE(b1) is greater than b, that makes predictions unreliable O B. The number of observations is smallest for the regression. ° C. The bl value is smallest of all other slope coefficients 0 D. Both of them are length variables and one has unit cm and other has unit mm c) State which of the dominant predictor variables causes a reduction the length of rice head when the value of that variable is increased. Choose the correct answer beloW O XI-amount of post-monsoon rainfall (in mm) O X2- amount of monsoon rainfall (in mm) O X4 Length of pruning(in cm) O Xa- Transplantation time of the seeds

Answer 1

a)
t = t.inv.2t(0.01,26)
= 2.7787

TS for X2 = 5.015 > critical value
hence
amount of monsoon rainfall affects the length of rice heads

b)
option A) is correct

c)
option A) x1 is correct

as slope of X1 is negative