Calculate the Pearson product-moment correlation coefficient (r) to 2 decimalplaces for the data and comment on the strength and type of the relationship. b) What is the least squares regression equation that can be used to predict film speed?c) Calculate the Coefficient of Determination and interpret the value. d) Predict the film speed of a camera that is 9.5 months old to 2 decimal places. e) Predict the film speed of a camera that is 14 months old to 2 decimal places.f)Comment on the validity of these predictions Within Polaroid's central laboratory, scientists systematically sample and analyse instantfilms that have been stored at temperature and humidity levels approximating those towhich the films will be subjected after they have been purchased by customers. Toinvestigate the relationship between film speed and the age of a film, Polaroid's centrallaboratory selected film samples ranging in age (time since manufacture) from 0 to 13months.Age Speed16311612139312541215116111797885921076116512611344

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Calculate the Pearson product-moment correlation coefficient (r) to 2 decimal places for the data and comment on the strength and type of the relationship. b) What is the least squares regression equation that can be used to predict film spe

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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Question

Calculate the Pearson product-moment correlation coefficient (r) to 2 decimal places for the data and comment on the strength and type of the relationship. b) What is the least squares regression equation that can be used to predict film speed? c) Calculate the Coefficient of Determination and interpret the value. d) Predict the film speed of a camera that is 9.5 months old to 2 decimal places. e) Predict the film speed of a camera that is 14 months old to 2 decimal places. f) Comment on the validity of these predictions

Within Polaroid's central laboratory, scientists systematically sample and analyse instant
films that have been stored at temperature and humidity levels approximating those to
which the films will be subjected after they have been purchased by customers. To
investigate the relationship between film speed and the age of a film, Polaroid's central
laboratory selected film samples ranging in age (time since manufacture) from 0 to 13
months.
Age Speed
163
1
161
2
139
3
125
4
121
5
116
111
7
97
8
85
92
10
76
11
65
12
61
13
44

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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