2.Suppose that a sample of size 10, (Xị, Yi), i = 1,2, .., 10 was collected to study the relationshipbetween x and y. From the sample data, the following information was obtained.Xi4710121518202125ei3.3-2-2-7-33-27Di = -3.18 + 2.49xa)Use a t-test approach to determine whether or not there is a significant relationshipbetween x and y at 10% level.b)Construct and interpret a 90% interval estimate of E(y) at x.c)Find the standard error of the point estimator of the model intercept, S.d)Calculate and interpret the coefficient of determination.20°C Mostly s...A2.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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6. A sample of 5 fathers and their eldest sons gave the following data about their weight in Kgs. Father (x): 65 60 67 63 74 Son (y): 49 45 57 40 60 CS Scanned with CamScanner
15) Fine the sum of products (SP) and sum of squares (SS) for the variables of interest mentioned in the study above. Then find the correlation between the two variables of interest. (Round all answers to 2 decimal points) a) SP = b) SSbullying = c) SSprejudice = d) r =
Please help with HW, question is in image
a) Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) r = b) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P- value = c) If a regression analysis were to be carried out to predict endurance from lactate level, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) ____________ d) If a regression analysis were to be carried out to predict lactate level from endurance, what proportion of observed variation in endurance could be attributed to the approximate linear relationship? Answer the question without doing any regression calculations. (Round your answer to four decimal places.) _____________
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A. 2.1
calculate the z-score of the data
Here are the world record race times for women in the 10,000-meter run over several years. a) Which is the explanatory variable and which is the response variable? Year Race Time (seconds) 1967 2286.4 b) Make a scatterplot of these data. You do not have to draw the scatterplot for me. Describe what you see (form, direction, 1970 2130.5 1975 2100.4 strength, outliers). 1975 2041.4 c) Write the equation of the regression line for predicting race time from year. 1977 1995.1 1979 1972.5 d) Give the meaning of the slope of your line in terms of race time and year. What are the units of the slope in this problem? 1981 1950.8 1981 1937.2 e) What percent of the observed variation in 1982 1895.3 the race times can be explained by your 1983 1895.0 model? 1983 1887.6 f) Find the residual for the first data point or 1984 1873.8 the list (the 2286.4 seconds from 1967). 1985 1859.4 g) What does this linear model predict for th race time in the year 2075? Do you think 1986 1813.7 this is reasonable?…
Calculate estimates of the standard deviations sz, Sy of the samples r = (5,9, 7) and y = (-1,2,5) as well as the Pearson coefficient of correlation rry of r and y. Which of the following answers are correct? a) sz = 4, sy = 9 b) rzy = 0 c) sz = 2, sy = 3 d) Tzy = } e) rzy =
28. Short Answer Question We have a dataset with n = 10 pairs of observations (Ii, Yt), and Σ Ii = 683, ►; Yi = 813, i=1 * = 47, 405, T:Yi = 56, 089, i = 66, 731. %3D i=1 i=1 What is the line of best fit for this data?

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