The number of pounds of steam used per month by a chemical plant is thought to be related to theaverage ambient temperature (in °F) for that month. The past year's usage and temperatures arein the following table by using excel:(a) Find a regression relating steam usage to temperature.(b) Test for significance of regression using a=0.05.(c) Find a 99% confidence interval for B1Usage/1000Usage/1000Month Temp.MonthТemp.Jan.21185.79July.68621.55Feb.24 214.47Aug.74675.0662562.03Sept.Oct.Mar.32288.03Apr.47424.8450452.93May50454.58Nov.41369.95June 59 539.03Dec. e30 273.98

Given information: Given is the bivariate data corresponding to two variables independent one is X…

Answered: Find a regression relating steam usage…

Find a regression relating steam usage to temperature. Test for significance of regression using a=0.05. Find a 99% confidence interval for ß1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The number of pounds of steam used per month by a chemical plant is thought to be related to the
average ambient temperature (in °F) for that month. The past year's usage and temperatures are
in the following table by using excel:
(a) Find a regression relating steam usage to temperature.
(b) Test for significance of regression using a=0.05.
(c) Find a 99% confidence interval for B1
Usage/
1000
Usage/
1000
Month Temp.
Month
Тemp.
Jan.
21
185.79
July.
68
621.55
Feb.
24 214.47
Aug.
74
675.06
62
562.03
Sept.
Oct.
Mar.
32
288.03
Apr.
47
424.84
50
452.93
May
50
454.58
Nov.
41
369.95
June 59 539.03
Dec. e
30 273.98

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