You run a regression analysis on a bivariate set of 43). With = 76.3 and y = 56.3, you obtain the regression equation data (n = y = 3.555x - 214.947 with a correlation coefficient of r = 0.104. You want to predict what value (on average) for the response variable will be obtained from a value of x = 30 as the explanatory variable. What is the predicted response value? y =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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You run a regression analysis on a bivariate set of
=
56.3,
data (n = 43). With = 76.3 and y
you obtain the regression equation
y = 3.555x - 214.947
with a correlation coefficient of r = 0.104. You
want to predict what value (on average) for the
response variable will be obtained from a value of
x = 30 as the explanatory variable.
What is the predicted response value?
y =
Transcribed Image Text:You run a regression analysis on a bivariate set of = 56.3, data (n = 43). With = 76.3 and y you obtain the regression equation y = 3.555x - 214.947 with a correlation coefficient of r = 0.104. You want to predict what value (on average) for the response variable will be obtained from a value of x = 30 as the explanatory variable. What is the predicted response value? y =
Alejandro is selling HDMI cables on eBay, and is
trying to determine the best price to sell at. For
the last 10 weeks, he has adjusted his price
slightly each week and tracked the number of
cables he sold. He plotted the results, and drew a
line he feels fits the data well.
200
150
100
50
3.75 4
Quantity Sold
3
3.25 3.5
Price ($)
a) The line of best fit passes through the points
(3.50, 170) and (4.75, 160). Find an equation for
the line.
Use variables: p for price in dollars, and Q for
quantity of cables sold.
b) Using this model, predict the number of cables
Alejandro would sell at a price of $3.65, to the
nearest whole cable.
cables
Transcribed Image Text:Alejandro is selling HDMI cables on eBay, and is trying to determine the best price to sell at. For the last 10 weeks, he has adjusted his price slightly each week and tracked the number of cables he sold. He plotted the results, and drew a line he feels fits the data well. 200 150 100 50 3.75 4 Quantity Sold 3 3.25 3.5 Price ($) a) The line of best fit passes through the points (3.50, 170) and (4.75, 160). Find an equation for the line. Use variables: p for price in dollars, and Q for quantity of cables sold. b) Using this model, predict the number of cables Alejandro would sell at a price of $3.65, to the nearest whole cable. cables
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