In a market research study for Optimal Communications, the following data were prov on the projected monthly sales (x), (in thousands) of the latest album release by the musical band with a proposed wholesale unit price of y dollars.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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In a market research study for Optimal Communications, the following data were provided based
on the projected monthly sales (x), (in thousands) of the latest album release by the popular
musical band with a proposed wholesale unit price of y dollars.
X
y
2.2
38.00
5.4
36.00
Σx=40.7; Σy=167; Σx = 428.41;
ΣSS= 64.7;
SS=-78.78
7.0
34.50
Ey =5642.5;
11.5
30.00
14.6
28.50
Σxy = 1280.6
Transcribed Image Text:In a market research study for Optimal Communications, the following data were provided based on the projected monthly sales (x), (in thousands) of the latest album release by the popular musical band with a proposed wholesale unit price of y dollars. X y 2.2 38.00 5.4 36.00 Σx=40.7; Σy=167; Σx = 428.41; ΣSS= 64.7; SS=-78.78 7.0 34.50 Ey =5642.5; 11.5 30.00 14.6 28.50 Σxy = 1280.6
(a) Computex and y
(b) Compute the value of SS
XX
(c) Find the equation of the least squares regression line.
(d) State the coordinates of the y-intercept and the value of the gradient or slope.
(e) Calculate the correlation coefficient and interpret the result.
(f) Use the equation in c) to determine the wholesale unit price you would expect for a demand of
3250 albums.
Transcribed Image Text:(a) Computex and y (b) Compute the value of SS XX (c) Find the equation of the least squares regression line. (d) State the coordinates of the y-intercept and the value of the gradient or slope. (e) Calculate the correlation coefficient and interpret the result. (f) Use the equation in c) to determine the wholesale unit price you would expect for a demand of 3250 albums.
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