Question 14.3 (Page 611) - A random sample of thefollowing two variables was obtained:x 29 48 28 22 28 42 33 26 48 44y 16 46 34 26 49 11 41 13 4716(a). Calculate the correlation coefficient between these twovariables.(b). Conduct a test of hypothesis to determine if there exists acorrelation between the two variables in the population.Use a significance level of 0.10.(c). Fit the regression equation of Defects (y) on Productionrate (x)(d). Estimate the number of defects when the production rate is35 units.(e). Given that: SST = 8.100 and SSEANOVA table and test the relevant hypothesis at the 5%level of significance (tabulated F = 2.57)7.512; construct the

For the given data Find ( a) r =? ( b ) Hypothesis test ( c ) Least square regression line

Answered: Question 14.3 (Page 611) – A random…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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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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Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.883 and the least squares regression line is y = 0.134x + 13.693. Complete parts (a) and (b) below. Height, x Head Circumference, y 17.4 27.75 25.25 26 25.25 27.25 26.75 26 27.25 27 27.25 26.75 17.1 17.3 17.0 17.4 17.2 17.2 17.3 17.3 17.4 17.3 ..... (a) Compute the coefficient of determination, R?. R? % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. Approximately % of the variation in is explained by the least-squares gression model. (Round to one decimal place as needed.)
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The U.S. Department of Energy’s Fuel Economy Guide provides fuel efficiency data for cars and trucks. The following regression output was obtained for a sample of 45 cars. The variable of interest is highway miles per gallon (Hwy MPG). The independent variables used in the analysis are as follows: The class of the vehicle: Compact, Midsize or Large. Midsize = 1 if the car is a midsize, 0 otherwise. Similarly, Large = 1 if it is a large car, 0 otherwise. Displcement: The engine displacement (size) in liters Premium: Equals 1 if premium fuel is used, 0 if regular fuel is used Cylinders: Number of cylinders Regression Statistics Multiple R 0.90 R Square Adjusted R Square 0.79 Standard Error 1.78 Observations 45 ANOVA df SS MS F Significance F…
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1. 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 a. Identify the Independent and dependent variable. Give a justification of your answer.b. Interpret the value Pearson’s correlation coefficient. c. From the fitted regression line interpret the slope parameter. d. Find the value of R 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?
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