Given y; = Bo + B1(x; – µ) + ɛ¿ , find the OLS estimator for B1. Is this estimator unbiased? Why or why not?
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- Consider the following data: x −6 −5 −4 −3 −2 P(X=x) 0.2 0.2 0.2 0.2 0.2 Find the value of P(X<−3). Round your answer to one decimal place. Find the value of P(X>−6). Round your answer to one decimal place.If the Pearson correlation is measured between two variables X and Y and was - 0.56. This indicates that: Select one: a. X and Y medium correlation, and if X increases, Y will increase generally b. X and Y strong correlation, and if X increases, Y will increase generally c. X and Y strong correlation, and if X increases, Y will decrease generally d. X and Y medium correlation, and if X increases, Y will decrease generallyWhich of the following statements is incorrect? Select one: a. The coefficient of determination is defined as r². b. If r²=0.70, it implies that 70% of the variation in Y is explained by the regression line. c. If r=0.64 then r²=0,4096. O d. r indicates the strength and the direction of the relationship between X and Y variables. O e. The coefficient of correlation r can never be negative.
- Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 10% and highest 10%, indicating levels that are too low or too high, respectively. Sketch the region containing the lowest 10% and highest 10%. Choose the correct graph below. OA. -Za Za Q The bone density scores are ☐ OB. -Za Za (Use a comma to separate answers as needed. Round to two decimal places as needed.) ○ C. Q Za -Za D. Q a G Za -ZaFrom the table below, solve the following. b. Find mean of x [Select] X a. Find the Pearson correlation coefficient [Select] c. Find the mean of y [Select] 3 7 8 10 6 5 d. Find the regression equation [Select] [Select] y = 1.05 +0.92x y = 3.74 +0.68x y = 4.08 +0.81x y = 5.13 +0.73x y 4 11 12 7 5 31. The Gross Horsepower of a car can influence the mileage of the car. A random sample of 32 different cars’ Gross Horsepower and mileage (Miles/gallon) is collected. From the data, suppose you got the following results: Pearson’s correlation coefficient: -0.90 The fitted regression line: Ŷ = 30. 10 − 0. 07 X d. Find the value of R2 and comment. e. From the fitted model find the values of Y for given values of X as 110. How do you interpret this value?
- If the coefficient of correlation between x and y is close to 1, this indicates that: OA. y causes x to happen OB. there may or may not be any causal relationship between x and y OC. x causes y to happen OD. both A and B are correct answers If the coefficient of correlation is -0.60, then the coefficient of determination is: OA. -0.60 OB. 0.40 OC. -0.36 OD. 0.36Match the following concepts to their definitions.PLEASE ASSIST IN THIS PROBLEM- IT HAS NOT BEEN GRADED, THE RED X'S APPEAR WHEN I SELECT CHECK MY WORK.
- H10.Please show formulas thank tou and on TI-84 calculator A test of H0:ρ=0H0:ρ=0 versus Ha:ρ≠0Ha:ρ≠0 determines that there is evidence of a linear relationship between the variables x and y at the 10% level. Which of the following is a possible p-value for this test? The p-value could be any of 0.06, 0.11, 0.82, or 1.15. 0.06 0.11 1.15 0.82 In a sample of 390 people attending a concert, 60% stated that the venue was a good location for that type of concert. What p-value is calculated when testing Ho:p≤0.65Ho:p≤0.65 versus p>0.65p>0.65 ? 0.0194 0.0219 0.9808 0.6000 0.0192 A hypothesis test to test the claim about a population mean in which the alternative hypothesis is Ha:μ≠225Ha:μ≠225 is conducted. A random sample was collected with the results of ¯x=200x¯=200 and s=54.2s=54.2 for a sample of size 14. What are the critical values for this test if the significance level is 5%? ±2.145 ±1.726 ±2.160 ±1771 ±1.96Which of the following is not one of the uses of a scatter plot and regression line a. to estimate the average y at a specific value of x. b. All three are uses of the scatterplot and regression line c. to determine if a change in x causes a change in y d. to predict y at a specific value of x.