From the following data of the age of husband and the age of wife form two regression lines

Chapter 3

Describing Relationships

Section 2

Least-Squares Regression

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Video Transcript

So this problem tells us that the mean height for woman is 64.5 inches, with standard deviation of 2.5, and the mean tight for men is 68.5 inches. The standard deviation 2.7. And this has a correlation of 0.5. So first we need to find the least squares regression line. So the key phrase is the least squares regression line it. This tells us it's going to be a y equals mx waspy here. So we need to find em and be there to formulas that you should have written down for this. And I'll put them here first. MMR slope equal to the correlation times The standard deviation of y over the standard deviation of X And then the other one is R B is equal to the mean of why minus the slow times mean of X. Okay, so let's start with slope, for instance. So we have our our that's 0.5. Now we have our two standard deviations, but which one is why in which one is X? So it says we want the line to predict the husband's height, giving the life so cause we're giving the wife, That's the X and the husband's high is the output. So that is the why. So the husband's wine is going to go on top. So two point 7/2 2.0.5. And that gives less 0.54 now for this equation, it will take the means. So again, the husband is going to be the why. 68.5 minus are slow point by four Todd names 64.5, which gives Eyes Bertie free 0.67 that we can now make the equation. So why is equal to M X Plus B? So why is equal to point by four x plus 33.67? Now let's start part you. So we're giving a woman site is 67. So how that all is your husband? So we're going to plug 67 in for X. So why is equal a point by four time 67 plus Spirit E 3.67 and this is equal to 69.85 The final part asks that we could have guessed this about the equation. So some white back in our problem the two means are for off a standard deviation of about 2.5. So we know the woman's hiatus. 67. Well, we know that we can add four to that and to get the man's estimated height and then it will have a standard deviation of about 2.7. So 67 was for that gives us 71 and that's about to off from 69.85 So, yes, we could have made this gas, and we are diamond.

Srikar K.
Temple University

Catherine R.
Missouri State University

Boris M.
University of North Carolina at Chapel Hill

Megan C.
Piedmont College

Christine G.
Cairn University

Monique R.
Numerade Educator

Heather Z.
Oregon State University

Lucas E.
University of St. Thomas

Michael J.
Idaho State University

Joseph L.
Boston College

Data And Variables

Data And Variables - Example 1

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