Exhibit 16-4In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x₁), and whether or not agent x₂ (a proposed life-extending agent)was added to the rats' diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:ŷ = 36 + .8x1 - 1.7x2Also provided are SSR = 60 and SST = 180.The multiple coefficient of determination isa. 5OOb. .333c. .5d..2

Answered: Image /qna-images/answer/b16d7ced-fe09-420e-ae71-79e183e23f67.jpg

Answered: Exhibit 16-4 In a laboratory…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Referring to Scenario 13-11, what is the critical value for testing whether there is a linear relationship between revenue and the number of downloads at a 5% level of significance
The data shown below are the initial weights and gains in weight (in grams) of female rats on a high protein diet from 24 to 84 days of age. The point of interest in these data is whether the gain in weight is related to (dependent on) the initial weight. If so, then feeding experiments on female rats can be made more precise by adjusting for differences in initial weights of the rats. Statistically test this with a regression analysis. Rat Number Initial Weight (gms) Weight Gain (gms) 1 50 128 2 64 159 3 76 158 4 64 119 5 74 133 6 60 112 7 69 96 8 68 126 9 56 132 10 48 118 11 57 107 12 59 106 13 46 82 14 45 103 15 65 104 I used excel's regression took pak and got the following: SUMMARY OUTPUT Regression Statistics Multiple R 0.489416452 R Square 0.239528464 Adjusted R Square 0.181030653 Standard Error 8.869929833 Observations 15…
Question 4: A company studied the productivity of their employees on a new information system. They were interested in if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). If the regression equation is = 14.374 + 0.145x. The SD of age is = 14.04, and the SD of the number of completed entries made per hour is = 2.61. What is the correlation coefficient between age and productivity? How to interpret the correlation? How to interpret the slope? If a data entry operator is 40 years old, what is the predict productivity using the regression equation?
The least-squares regression equation is y=620.6x+16,624 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7004. In a particular region, 28.3 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $37,389. Is this income higher than what you would expect? Why?
The following regression is fitted using variables identified that could be related to student requested loan amount, LOAN-AMT($) for returning students of a certain University. LOAN AMT = a + ß ACCEPT + y PREV + λ OUTS Where ACCEPT = the percentage of applicants that was accepted by the university, PREV= previous loan amount and OUTS outstanding loan amount The data was processed using MNITAB and the following is an extract of the output obtained: Predictor Constant ACCEPT PREV OUTS S = 2685 Coef -26780 116.00 -4.21 70.85 R-Sq = 69.6% Analysis of Variance DF 3 Source Regression Residual Error 49 Total 52 SS EXHIBIT 2 St Dev 6115 37.17 14.12 15.77 808139371 353193051 1161332421 a) What is dependent and independent variables? b) Fully write out the regression equation T * 3.14 -0.30 4.49 MS 269379790 7208021 c) What is the sample size used in this investigation? d) Fill in the blanks identified by *** and ****. e) Is ẞ significant, at the 5% level of significance? P 0.000 0.003 ** 0.000…
Suppose you are examining a multi-variable linear regression model that was designed to predict the weight of a person, measured in kg, using 3 predictor variables. One of the variables used in this analysis is "height", with the coefficient of this variable being equal to 3.96, with a standard error of the coefficient equal to 1.168. There are 300 datapoints in the dataset. Using this information, what would be the test statistic (t-ratio) for the test to see if the variable "height" is significant? Only round final answer. Round to two decimal places.
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The manager of the Bayville police department motor pool wants to develop a forecast model for annual maintenance on police cars, based on mileage in the past year and age of the cars. The following data have been collected for eight different cars: a. Using Excel, develop a multiple regression equation for these data. b. What is the coefficient of determination for this regression equation? c. Forecast the annual maintenance cost for a police car that is 5 years old and will be driven 10,000 miles in 1 year.
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