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- After the availability of covid 19 vaccinces in the Phiippines, the data below shows the number of senior citizens who received the vacines in City of Manila. Week No. 1 5 9 Senior Citizens who are Vaccinated 100 120 210 300 250 Based on the above data, determine the model of the vaccinated senior citizens. Determine also the vaccinated senior citizens in the 15th week.An aircraft company wanted to predict the number of worker-hours necessary to finish the design of a new plane. Relevant explanatory variables were thought to be the plane’s top speed, its weight, and the number of parts it had in common with other models built by the company. A sample of 27 of the company’s planes was taken, and the following model was estimated: y = 0 +11+22+33+ Where y = design effort, in millions of worker-hours 1 = plane’s top speed, in miles per hour 2= plane’s weight, in tons 3 = percentage of parts in common with other models The estimated regression coefficients were as follows: b1 = 0.661 b2 = 0.065 b3 = - 0.018 The total sum of squares and regression sum of squares were found to be as follows: SST = 3.881 and SSR = 3.549 Compute and interpret the coefficient of determination. Compute the error sum of squares. Compute the adjusted coefficient of determination. Compute and interpret the coefficient of multiple correlation.Consider the model Y = ß0 + B₁X1 + ß₂X2 + B3X³ + B4X4 + €. If it is suggested to you that the two variables Z₁ = X₁ + X3 and Z2 = X₂ + X4 might be adequate to represent the data, what hypothesis, in the form C3 = 0, would you need to test? (Give the form of C.)
- Q2.A study was conducted to optimize the concentration temperature in relation to the amount of solids content (g/L) of orange concentrate (treatments). Due to limited number of evaporators available, the experimenter was forced to use 4 different sized evaporators. It was presumed that the size of the evaporators could be a possible source of variation (columns). As each run took 4 days time, it was decided to control the effect of the experimentation time (rows) and the experiment was conducted in a Latin Square Design. Answer the following questions: What will be the layout of this design ii. Write the ANOVA showing the first two columns only (i.e. SOV and degrees of freedom) iii. Consider orange concentrate as treatments and time as a blocking factor (RCBD) by ignoring evaporator effect, Write the layout of this design iv. By considering (iii) make ANOVA showing only the first two columns i.Suppose you fit the first-order model y = Po + B, x, + B2x2 + B3X3 + B,x4 + B5X5 + ɛ to n=28 data points and obtain SSE = 0.33 and R = 0.94. Complete parts a and b. a. Do the values of SSE and R suggest that the model provides a good fit to the data? Explain. A. Yes. Since R = 0.94 is close to 1, this indicates the model provides a good fit. Also, SSE = 0.33 is fairly small, which indicates the model provides a good fit. B. There is not enough information to decide. No. Since R = 0.94 is close to 1, this indicates the model does not provide a good fit. Also, SSE = 0.33 is fairly small, which indicates the model does not provide a good fit. b. Is the model of any use in predicting Test the null hypothesis Ho: B, = B2 = ... = B5 = 0 against the alternative hypothesis: At least of the %3D parameters B1, B2, B5 is nonzero. Use a = 0.05. The test statistic is (Round to two decimal places as needed.)Ernesto is a web developer who is looking to determine which of two types of advertisements are the most cost effective. He suspects that advertisements with animations generate more clicks than advertisements without animations but wants to confirm his intuition before he starts recommending advertisements with animations to his clients. Ernesto creates advertisements with animations for 12 different products and then creates advertisements without animations for those same products. Then he measures the click-through rate for those advertisements. The data are provided below (given as percentages of total visitors to the site who clicked on the advertisement). Assume that the conditions required for this hypothesis test are satisfied. Use a calculator to test the paired data, where α=0.01. Compute the sample differences d using d=Without−With. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between…
- The sale of eggs that are contaminated with Salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs from all the eggs shipped in one day. The laboratory reports that 11 of these eggs had Salmonella contamination. Unbeknownst to the producer, 0.2% of all eggs shipped had Salmonella. What is the best description of the values, 11 and 0.2%, in this situation? O 11 is a parameter and 0.2% is a statistic. O 0.2% is a parameter and 11 is a statistic. O Both 0.2% and 11 are parameters. Both 0.2% and 11 are statistics.I am determining how effective a Drug is at reducing inflammation in individuals infected with a virus. the serum levels of antibody are measured as a measure of inflammation (less antibodies means less inflammation which decreases virus mortality) in 30 people given placebo, 30 people given 1 unit of the drug, and 30 people given 2 units of the drug. I would like to determine what levels of the drug are effective, and if there are sex-specific effects. What are the dependent and independent variables in this experiment? age _________ sex __________ antibody level _____________ treatment ___________a) Interpret the significant level of hypothesis for three independent variables in this model. b) Calculate the value of dependent value, y given that X1 = 3.5, X2 = 2.9 and X3 = 4.1.