Show that SSTOT/n2 ~ χ2-1 by using an argument similar to that used in the lectures...
Question 2: Missing steps in lectures (20 pts) Prove one of the four claims below. STA 108: HW 2 UC Davis 1. SST-SSE + SSR. 2. R2 Cor2(x, y). 3. cov(βο, B1)-0 if® 0. 2 4. var(Po You may find the following notations helpful in the proof. Szr-Σί 1(m-xJZ SO,- co n1-Ec)i and c (, )/S2. If you decided to use any, you must clearly define them in your answers.
Show using definition of Θ that 1/2 n2 − 5n = Θ(n2)
2. Using the following data set find a prediction equation ( 9 = ax + b) relating the factor (x) and the response data (y). You can use Excel, Matlab, or similar software to help with the process. Comment on the predicted and adjusted R2 values of the resulting model. х у (y - ) (y-7) (ŷ - y) 100 100 100 100 200 200 200 200 500 500 500 500 16.7 12.2 8.4 6.6 15.3 10.7 10.3 21.1 45.6...
12 marks Let independent random samples of sizes n and n2 be taken respectively from two normal distributions with unknown means 1 and 2 and unknown variances oand o. Denote the two samples by . . ,Jn, and y,... , yn2: Which have means T and T, and sample variances s and s2, respectively (a) 4 marks Show that when of = o2, the likelihood ratio test statistic for testing Ho 12 against H 2 can be written as T2...
Question 5 Using the graphical method (i.e., the method used during the lectures), compute x* h(t), where x(t) = e-and h is as shown in the figure. (You must compute x* h, not hx.) For each separate case in your solution, you must state the convolution result and the corresponding range of t as well as show the fully-labelled graph from which this result is derived. Each convolution result may be stated in the form of an integral, but the...
Using a diagram similar to Figure 7.53, show the forwarding and
stalls needed to execute the following instructions on the
pipelined ARM processor.
Exercise 7.30 Using a diagram similar to Figure 7.53, show the forwarding and stalls needed to execute the following instructions on the pipelined ARM processor. ADD RO, R4, R9 SUB RO, RO, R2 LDR R1, [RO, #60] AND R2, R1. RO 4 8 Time (cycles) R4 LDR RE 40 R1 DM LDR R1, [R4, #40] |IM RF...
Find the following limit or show that it does not exist. 1 ¿ lim no n2 + 32 n +1
Using a graph similar to the one in Figure 1 prove that when
interest rates increase, savings (and investment) decrease. Make
sure to provide proper explanations following the argument provided
above.
Ct+1 Figure 1
1. After having reviewed the lectures I have posted in Course Documerts perform the Consider Table (1) below. Using the data in this Table (3) calculate the value of r in the two formulas below the table. SHOW YOUR WORK AND OPERATIONS! TABLE 3) 14 12 10 2-103x x-bar and y-bar are MEANS of x and y n is the number of observations which is 8 r2 2Where, n is the mumber of observations in the sample (The data in...
(ii) Calculate AH° for the reaction N2H4(1) + O2(g) → N2(g) + 2H2O(1) using the data given below: 2NH3(g) + 3N2O(g) → 4N2(g) + 3H2O(1) N2O(g) + 3H2(g) → N2H4(l) + H2O(1) 2NH3(g) + O2(g) → N2H4(1) + H2O(1) H2(g) + 1/2O2(g) → H2O(1) AH° = -1010. kJ AH° = -317 kJ AH° = -143 kJ AH° = -286 kJ