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- A scientist is studying three different cultures of bacteria {labeled "A", "B" and "C"} and wants to mathematically model the bacterial change of each type. To do this, the scientist decides to collect data for 25 consecutive days and builds the following scatter diagrams where the horizontal axis corresponds to "t" and the vertical axis to the amount of bacteria present in the culture P = P (t) Help the scientist decide which mathematical model (initial value problem) to use for each of the three types of crops. To do this, associate each of the graphs above with one of the following initial value problems. Crop type A a) dP/dt = k with P(0)=P0 and k>0.b) dP/dt = k with P(0)=P0 and k<0.c) dP/dt = kt with P(0)=P0 and k>0.d) dP/dt = kt with P(0)=P0 and k<0.e) dP/dt = kP with P(0)=P0 and k>0.f) dP/dt = kP with P(0)=P0 and k<0.g) dP/dt = kP(1-P/M) with P(0)=P0 and M, k>0.h) dP/dt = kP(1-P/M) with P(0)=P0 and M, k<0. Crop type B a) dP/dt = k with P(0)=P0 and…The estimated regression equation for a model involving two independent variables and 10 observations follows. y^=31.5111+0.5611x1+0.3254x2 a. Interpret b1b and b2 in this estimated regression equation (to 4 decimals ) b1____ b2____ b. Estimate y when x1=180 and x2=310 ( to 3 decimals)Find the quantity (deviance) for testing the hypothesis ?0H0 that data supports the glm fit against the alternative ?1H1 that data supports the maximal model. B) the degrees of freedom and pvalue for testing H0