Set3 - Homework Set #3 NAME:_Rebecca Anderson_ CM:_408_ MA...

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Homework Set #3 NAME:______________Rebecca Anderson_____ CM:______408_______ MA 223, Engineering Statistics Spring 2008; 15 points possible Due date: Friday , March 28 at the BEGINNING of class (early submissions are acceptable) . You may work together on thinking through these problems, but what you turn in must be your own individual write up and work. Please show as much work as possible. It’s much easier to give partial credit when the work is all available. Please clearly label your graphs – including axes … Please attach your Minitab work at the end of the homework set . You may cut and paste your Minitab work into a word or notepad document. _________________________________________________________________________________________ 1. TRUTH: The National Weather Service Forecast Office puts out its own Cricket Chip Converter: You enter the number of times a cricket chirps in 15 seconds, and the converter gives you the temperature estimated in 4 different units, including degrees Fahrenheit and Celsius. Here is some sample data for the number of cricket chirps in 15 seconds and accompanying temperatures in degrees Fahrenheit: Make a scatterplot of this data. [Graph -> Scatterplot] Num Chirps in 15 sec 18 20 21 23 27 30 34 39 Temp (F) 57 60 64 65 68 71 74 77 (a) [+0.5] What is the predictor variable? The # of chirps in 15 seconds (b) [+0.5] What is the response variable? Temperature (c) [+0.5] By-hand, in Maple, or in Minitab, calculate the sample sample correlation coefficient r . [ In Minitab: Stat -> Basic Statistics -> Correlation] .977 (d) [+0.5] The correlation coefficient r states the strength of the ___linear___________ relationship between the predictor and response variables. (e) [+1] In Minitab, the commands Stat -> Regression -> Regression gave the following output. What is the least squares regression line? Write it in below in terms of y and x . Round your slope and intercept to 3 decimal places. Regression Analysis: Temp (F) versus Num Chirps in 15 sec
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The regression equation is Temp (F) = 43.0 + 0.906 Num Chirps in 15 sec Predictor Coef SE Coef T P Constant 42.997 2.186 19.67 0.000 Num Chirps in 15 sec 0.90576 0.07983 11.35
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This note was uploaded on 04/24/2008 for the course MA 223 taught by Professor Devasher during the Spring '08 term at Rose-Hulman.

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Set3 - Homework Set #3 NAME:_Rebecca Anderson_ CM:_408_ MA...

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