1. Using data below0Solid content [%]Chemical oxygen demand [%] 0345 11 13 1921a) Find 95% confidence intervals of both parameters.b) Perform a hypothesis test that the slope, by 1, as against the alternative that b₁ > 1at 95% confidence level.

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Answered: Using data below 2 3 4 13 19 Solid…

MATLAB: An Introduction with Applications

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Q 1 If X is a random variable with distribution X: 0 1 2 3 P(X): 1111 44 44 Find the mean, Variance and standard deviation. Q 2 If X is a random variable with distribution X: 0 12 3 4 P(X): 0 K 2K 3K 4K Explain the following: (i) For which value of K, P(X) is probability mass function? (ii) Find the following probabilities: (a) P(1 ≤ X < 4). (b) P(2 < X < 4). Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (²) and standard deviation (o) of the numbers on the balls. Q4 A special six-sided die is made in which 2 sides have 6 spots, 3 sides have 4 spots, and 1 side has 1 spot. If the die is rolled, find the expected value of the number of spots that will occur. Q5 Let X-B(4,0.6). Find the following (i) P(X = 2) (ii) P(1 < X < 4) (iii) Also find mean and variance. Q6…
116). With 77.4 and y 77.2, you You run a regression analysis on a bivariate set of data (n obtain the regression equation y -1.848z+56.533 0.092. You want to predict what value (on average) for the with a correlation coefficient of r= response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? %3D (Report answer accurate to one decimal place.)
Pick one or more and look at the image below A) estimated beta (slope) for this relationship is unlikely to be zero B) r-squared value for this relationship must be negative C) 20 is a plausible value for the population mean mpg for a vehicle with 50 hp
A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.
Suppose that a researcher, using data on 150 randomly selected bicycles, estimates the OLS regression: Price=672.65-2.12x Weight, (185.8) (0.42) where Price measures the price of the th bike in dollars and Weight measures the weight of the th bike in kilograms. The 99% confidence interval for the intercept, ßo, will be (, ). (Round your answers to two decimal places.)
Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple linear regression model holding the confidence level constant. Let Width (C.I) = the width of the confidence interval for the average value y for a given value of x, and Width (P.I) = the width of the prediction interval for a single value y for a given value of x. Which of the following statements is true? Width (C.I) = 0.5 Width (P.I) Width (C.I) = Width (P.I) Width (C.I) > Width (P.I) Width (C.I) < Width (P.I)
Could you help me with these 2 please

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Using data below 2 3 4 13 19 Solid content [%] 01 Chemical oxygen demand [%) 0 5 11 a) Find 95% confidence intervals of both parameters. b) Perform a hypothesis test that the slope, by 1, as against the alternative that b₁ > 1 at 95% confidence level.