A study took a random sample often married couples, and asked the husband's and wife's age. The scatterplot shows the associatio
n between the ages of the husbands and wives. Not surprisingly, older husbands tend to have older wives, so the data has a positive linear association. A researcher finds that the least squares regression equation for this relationship is ŷ= 0.89 x + 2.62.
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.
A. 100
B. 89
C. 91.62
D. 86.38
—my answer is option (c.) 91.62
Any reviews would be much appreciated...
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.
A. 100
B. 89
C. 91.62
D. 86.38
—my answer is option (c.) 91.62
Any reviews would be much appreciated...
2 answers:
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Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
13x^2 + 8x - 9
I hope this helps
I hope this helps