11:35AAwww-awn.aleks.comO REGRESSION AND CORRELATIONPredictions from the least-squares regression lineTry again.Shasia vTry AgainYour answer is incorrect.• Your answer to number 3 is incorrect.The managers of an electric utility wish to examine the relationshipbetween temperature and electricity use in the utility's service regionduring the summer months. In particular, the managers wish to be ableto predict total electricity use for a day from the maximum temperaturethat day. The bivariate data below give the maximum temperature (indegrees Fahrenheit) and the electricity use (in thousands of kilowatthours) of electricity generated and sold for a random sample of sixteensummer days. A best-fitting line for the data, obtained from least-squares regression, is given by -53.28 + 3.07x, in which x denotes themaximum temperature and y denotes the electricity use. This line isshown in the Figure 1 scatter plot.Temperature, x Electricity use, y(in degreesFahrenheit)(in thousands ofkilowatt hours)78.4295.472.5232.140072.7276.894.5363.4375-94.8335.635081.6322.032583.2262.930076.1292.889.5314.327592.4351.225084.9354.422571.1300.088.3320.998.6381.1Figure 180.8302.697.5306.2(Send data to ExcelBased on this information, answer the following:1. Fill in the blank: For these data, values for electricity use that aregreater than the mean of the values for electricity use tend to bepaired with temperature values that are the mean of thetemperature values.greater than2. According to the regression equation, for an increase of one degreeFahrenheit in temperature, there is a corresponding increase of howmany thousands of kilowatt hours in electricity use?3.073. From the regression equation, what is the predicted electricity use(in thousands of kilowatt hours) when the temperature is 89.5degrees Fahrenheit? (Round your answer to at least one decimalplace.)349.5354. From the regression equation, what is the predicted electricity use(in thousands of kilowatt hours) when the temperature is 96.5degrees Fahrenheit? (Round your answer to at least one decimalplace.)349.5ExplanationRecheckACOsiblity回国回回 3. From the regression equation, what is the predicted electricity use(in thousands of kilowatt hours) when the temperature is 89.5degrees Fahrenheit? (Round your answer to at least one decimalplace.)

The managers of an electric utility wish to examine the relationship between temperature and…

3. From the regression equation, what is the predicted electricity u (in thousands of kilowatt hours) when the temperature is 89.5 degrees Fahrenheit? (Round your answer to at least one decimal place.)

3. From the regression equation, what is the predicted electricity u (in thousands of kilowatt hours) when the temperature is 89.5 degrees Fahrenheit? (Round your answer to at least one decimal place.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

11:35
AA
www-awn.aleks.com
O REGRESSION AND CORRELATION
Predictions from the least-squares regression line
Try again.
Shasia v
Try Again
Your answer is incorrect.
• Your answer to number 3 is incorrect.
The managers of an electric utility wish to examine the relationship
between temperature and electricity use in the utility's service region
during the summer months. In particular, the managers wish to be able
to predict total electricity use for a day from the maximum temperature
that day. The bivariate data below give the maximum temperature (in
degrees Fahrenheit) and the electricity use (in thousands of kilowatt
hours) of electricity generated and sold for a random sample of sixteen
summer days. A best-fitting line for the data, obtained from least-
squares regression, is given by -53.28 + 3.07x, in which x denotes the
maximum temperature and y denotes the electricity use. This line is
shown in the Figure 1 scatter plot.
Temperature, x Electricity use, y
(in degrees
Fahrenheit)
(in thousands of
kilowatt hours)
78.4
295.4
72.5
232.1
400
72.7
276.8
94.5
363.4
375-
94.8
335.6
350
81.6
322.0
325
83.2
262.9
300
76.1
292.8
89.5
314.3
275
92.4
351.2
250
84.9
354.4
225
71.1
300.0
88.3
320.9
98.6
381.1
Figure 1
80.8
302.6
97.5
306.2
(Send data to Excel
Based on this information, answer the following:
1. Fill in the blank: For these data, values for electricity use that are
greater than the mean of the values for electricity use tend to be
paired with temperature values that are the mean of the
temperature values.
greater than
2. According to the regression equation, for an increase of one degree
Fahrenheit in temperature, there is a corresponding increase of how
many thousands of kilowatt hours in electricity use?
3.07
3. From the regression equation, what is the predicted electricity use
(in thousands of kilowatt hours) when the temperature is 89.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)
349.535
4. From the regression equation, what is the predicted electricity use
(in thousands of kilowatt hours) when the temperature is 96.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)
349.5
Explanation
Recheck
ACOsiblity
回国回回

3. From the regression equation, what is the predicted electricity use
(in thousands of kilowatt hours) when the temperature is 89.5
degrees Fahrenheit? (Round your answer to at least one decimal
place.)

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