m 2. From the data of Illustration 1, calculate the regression equations taking deviation of items from the mean of X and Y series.
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Q: From the data given below, calculate the regression equation taking deviation of items from the mean…
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- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
- For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A seed wash is expected to change the proportion p of seeds that germinate when planted in poorly-draining soil. Suppose that the current germination rate is about 70%.A regression of average monthly expenditure (AME, measured in euros) on average monthly income (AMI, measured in euros) using a random sample of college-educated full-time workers earnings €100 to €1.5 million yields the following: AME = 710.7 + 8.8 × AMI, R2 = 0.030, SER = 540.30 d. What does the regression predict will be the expenditure of a person with an income of €100? With an income of €200? e. Will the regression give reliable predictions for a person with an income of €2 million? Why or why not? ( f. Given what you know about the distribution of earnings, do you think it is plausible that the distribution of errors in the regression is normal? (Hint: Do you think that the distribution is symmetric or skewed? What is the smallest value of earnings, and is it consistent with a normal distribution?).If the geometric mean of two observations is (1/n) times their harmonic mean, prove that the rate of the two observations is: ( 1+✓1n²) : ( 1. ✓1- n²)?
- Suppose the following regression results were presented to you for consideration: ŷi = 75.05 - 3.02Xi, where Yi is the average 8th grade MCAS score for students in principality i, and Xi is the average student-teacher ratio in municipality i. Please answer the following: Is this a time series or a cross-sectional regression? Sketch the regression line. What is the interpretation of the intercept in this example? Does it make economic sense? How would you interpret the slope coefficient? Is it possible to tell what the true PRF is in this example? Predict the MCAS score for a municipality with a student/teacher ratio of 25 students per teacher.Use the following linear regression equation to answer the questions. (d) x1 = 1.0 + 3.9x2 – 8.4x3 + 2.4x4 Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?Suppose x2 increased by 2 units. What would be the expected change in x1?Suppose x2 decreased by 4 units. What would be the expected change in x1?(e) Suppose that n = 8 data points were used to construct the given regression equation and that the standard error for the coefficient of x2 is 0.468. Construct a 90% confidence interval for the coefficient of x2. (Use 2 decimal places.) lower limit upper limit (f) Using the information of part (e) and level of significance 5%, test the claim that the coefficient of x2 is different from zero. (Use 2 decimal places.) t t critical ±Use the following linear regression equation to answer the questions. x1 = 1.0 + 3.9x2 – 8.4x3 + 2.4x4 Suppose x2 decreased by 4 units. What would be the expected change in x1?
- Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive material decays continuously and 15 days later the sample is measured at 1000 counts/minute, then (a) What is the rate r that the substance is continuously decaying at?At Chairs and More, assemblers are paid according to the following differential piece rate of scale 1-25 chairs in a week, $10 each ; 26-40 chairs in a week $13 each;We showed that in a simple linear regression, the MLE estimates for ?1 and ?0 are the same as the OLS estimates. Show that the MLE estimate (Hint: take the derivative of the LL w.r.t ?2).