# Least Squares Regression

1. A radio disc jockey track of the number of request for songs by a certain artist and the time of day the request calls were made. The data is displayed.

Request: 9 0 10 0 5 0 9 5

Time of day: 2p.m. 3p.m. 4p.m. 5p.m. 6p.m. 7p.m. 8p.m. 9p.m

If the data were displayed on a scatter plot,could the correlation of the data be represented by a linear model? If there is a linear correlation, is there a positive or negative corralation?

Answer:

A. no reliable correlation

B. linear model with a positive correlation

C. not alinear model

D. linear model with a negative correlation

2. Early in the 1900s, an airplane manufacturer was able to increase the time its planes could stay aloft by constantly refining its techniques. Use the regression feature of a graphing utility to find the least squares regression line that fits these data. Assume t is the time aloft and y is the number of years after 1910.

Years after 1910: 1 2 3 4 5 6

Time aloft (hrs) : 0.77 1.2 2.2 3.8 4.4 5.7

Answers:

A. T=1.03y-0.51

B. T=0.93y-0.38

C. T=0.93y-0.48

D. T=1.02y-0.51

https://brainmass.com/statistics/regression-analysis/least-squares-regression-31681

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Least Squares Regression is investigated. The solution is detailed and well presented.