Consider the bivariate data set with n = 7 observationsX-41-69.-8-4-4Y2060-10 99-316 18where a linear relationship between X and Y is investigated. The equation relating Y to X is formulated byY = Bo + B1X + eand is called the simple linear regression equation. Use your calculator to answer the following questions.Give the values of the least squares estimatesBoRound your answer to the nearest integer.Round your answer to 3 decimal places. b)Give the value of the correlation coefficient, r.Round your answer to 4 decimal places.c)The linear relationship between X and Y isand|>

Answered: Consider the bivariate data set with n…

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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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x y 11.8 14.2 8.4 11.37.1 9.83.9 72.6 5.92.5 6.12.1 5.70.5 4.2 x= thousands of automatic weaponsy = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons?Answer = . Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.9 thousand automatic weapons?Answer = .Round to 3 decimal places.
A set of n = 25 pairs of scores (X and Y values) produces a regression equation Y = 3X – 2. Findthe predicted Y value for each of the following X scores: 0, 1, 3, -2.
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 3. 4 (a) x = 3 hours (c) x = 12 hours (b) x = 3.5 hours 40 45 50 49 65 68 (d) x = 4.5 hours Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable, Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? 1220 1075 986 88 5 843 821 849 697 758 1170 867 939 D Chirps in 1 min Temperature ("F) What is the regression equation? (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.) What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000 chirps per minute is F (Round to one decimal place as needed.) What is wrong with this predicted value? Choose the correct answer below O A. The first variable should have been the dependent variable O B. It is unrealistically high. The value 3000 is…
b) A study is conducted to determine the relationship between a driver's age and the number of accidents he or she has over a 1-year period. Find the equation of the regression line y = a + br for the data given below. Driver's age x No of accidents y 63 65 60 2 3 62 66 67 S59 10 3 4
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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 1 Test score, y 39 A. Test score 80- Find the regression equation. y = 5.5 x + (35.5) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. 0- 1 3 45 52 0 8 Hours studying B. Test score A 80- 3 5 5 48 61 67 0- 0 8 Hours studying N Test score 80- (a) x = 2 hours (c) x = 15 hours 0- 0 8 Hours studying ✔ (b) x = 2.5 hours (d) x = 3.5 hours Test score A 80- 8 0 Hours studying
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 1 2 2 3 4 6 Test score, y 39 44 52 47 64 70 (a)x=2hours (b)x=3.5hours (c)x=13hours (d)x=1.5hours Find the regression equation. y=______ x+ (_____) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.3 8.5 y 13.4 7 3.6 2.6 2.2 2.6 0.8 11 10.2 7.4 6 5.7 6.3 4.9 * = thousands of automatic weapons y = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.9 thousand automatic weapons? Answer = Round to 3 decimal places.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 662 pounds? Use a significance level of 0.05. Chest size (Inches) 46 57 53 41 40 40 Weight (Pounds) 384 580 542 358 306 320
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 4 47 (a) x=3 hours (c) x= 13 hours (b) x= 2.5 hours (d) x= 3.5 hours 5 6 40 45 52 63 72 Find the regression equation. y=x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)

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