Suppose that a researcher, using data on 150 randomly selected bicycles, estimates the OLS regression: Price 648.95-1.56 x Weight, (176.4) (0.42) where Price measures the price of the bike in dollars and Weight measures the weight of the The 99% confidence interval for the intercept, Bo, will be (.). (Round your answers to two decimal places.) The 99% confidence interval for the slope, B₁, will be (.). (Round your answers to two decimal places. Enter a minus sign if your answer is negative.) th bike in kilograms. Based on the calculated confidence intervals, and a two-tailed hypothesis test, we can say that at the 1% significance level, we will the hypothesis ẞ₁ = -0.8. the hypothesis B = 165, and we will

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 43 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years? Best Actress 27 30 30 61 30 32 46 28 61 22 43 56 D Best Actor 42 39 38 45 51 49 59 51 38 57 45 34 Find the equation of the regression line. y = + (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 43 years is years old. (Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 45 years? the predicted age is the actual winner's age.

This exercise refers to the drunk driving panel data regression, summarizedin Regression analysis of Drunk Driving (see attachment)a. New Jersey has a population of 8.85 million people. Suppose that NewJersey increased the tax on a case of beer by $2 (in 1988 dollars). Use theresults in column (5) to predict the number of lives that would be savedover the next year. Construct a 99% confidence interval for your answer. b. The drinking age in New Jersey is 21. Suppose that New Jersey loweredits drinking age to 19. Use the results in column (5) to predict the changein the number of traffic fatalities in the next year. Construct a 95% confidence interval for your answer.c. Suppose that real income per capita in New Jersey increases by 3% inthe next year. Use the results in column (6) to predict the change in thenumber of traffic fatalities in the next year. Construct a 95% confidenceinterval for your answer.d. How should standard errors be clustered in the regressions in columns(2) through…

5. The following estimated equation was obtained by OLS regression using quarterly data for 1978 to 1996 inclusive. Yt = 2.20+ 0.104Xt₁ - 3.48 Xt₂ + 0.34Xt3 (3.4) (0.005) (2.2) (0.15) Standard errors are in parentheses, the explained sum of squares was 109.6, and the residual sum of squares 18.48. a. Test at the 5% level for the statistical significance of the parameter estimates. b. Calculate the coefficient of determination.

In exercise 1, the following estimated regression equation based on 10 observations was presented. y^=29.1270+.5906x1+.4980x2Here SST=6724.125, SSR=6216.375, sb1=.0813, and sb2=.0567. a) Compute MSR and MSE. b) Compute F and perform the appropriate F test. Use α=.05. c) Perform a t test for the significance of β1. Use α=.05. d) Perform a t test for the significance of β2. Use α=.05.

Given the following regression output,   Predictor   Coefficient   SE Coefficient   t p-value   Constant   84.998     1.863     45.62   0.000     x1   2.391     1.200     1.99   0.051     x2   -0.409     0.172     -2.38   0.021           Analysis of Variance Source DF SS MS F p-value Regression 2   77.907   38.954   4.138   0.021   Residual Error 62   583.693   9.414           Total 64   661.600                   answer the following questions: d-1. State the decision rule for 0.05 significance level: H0: β1 = β2 = 0; H1: Not all β's are 0. (Round your answer to 2 decimal places.)         d-2. Compute the value of the F statistic. (Round your answer to 2 decimal places.)         d-3. What is the conclusion? Use the 0.05 significance level.

Given the following regression output,   Predictor   Coefficient   SE Coefficient   t p-value   Constant   84.998     1.863     45.62   0.000     x1   2.391     1.200     1.99   0.051     x2   -0.409     0.172     -2.38   0.021           Analysis of Variance Source DF SS MS F p-value Regression 2   77.907   38.954   4.138   0.021   Residual Error 62   583.693   9.414           Total 64   661.600                   answer the following questions:   Write the regression equation. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.)         If x1 is 4 and x2 is 11, what is the expected or predicted value of the dependent variable? (Round your answer to 3 decimal places.)         How large is the sample? How many independent variables are there?

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The sum of squared residuals for the first group (SSR1) is 15.3 and for the second group (SSR2) is 25.7. Each group contains 12 observations after removing the central observations and this model has only one independent variable. Calculate the F-statistic (rounded to two dp) (a) 2.57 (b) 2.41 (c) 1.92 (d) 1.68 (e) 1.67

A researcher investigating whether government expenditure crowds out investment estimates a regression on data for 30 countries. I-investment; G-government recurrent expenditure; Y=gross domestic product; all measured in $US billion. P= population measured in million. Standard errors are in parentheses. Î= 18.10 (7.79) R² = 0.99 1.07G + 36Y (0.14) (0.02) She suspects that countries with higher GDP may have more variability in their investment. She sorts the observations by increasing size of gdp per capita (Y)and estimates the regression again for the 11 countries with the lowest gdp(Y)and the 11 countries with the largest gdp(Y). The RSS1 from the first regression is 7186. The RSS2 from the second regresison is 28101. Perform a Goldfeld-Quandt Test at a 5% significance level. a. The test statistic for this test is 0.256 b. The critical value defining the rejection region for Ho is 3.18 c. Is there heterscedasticity? Yes=1 or No-0. The answer is 0