QUESTION 11The data below show the number of times a cricket chirps in a minute when the temperature is at a certain level in degrees Fahrenheit.Chirps perminuteTemperature (75 87.3 80.2 78.2 89.4 74.7875 1150 1049 928 1199 850F)Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps per minute and the temperature? Conducta hypothesis test to reach a conclusion. Use a 0.05 significance level. Round decimal to two places.(a) Hypotheses: Choose from the following symbols to fill in the blanks:=,#,<,<,>, or >Ho: PH1: P _0(b) Test Statistic:(c) P-Value:(d) State and Interpret the final conclusion:(e) Compute the correlation coefficient,Round decimal to three places.(f) In one sentence, explain the meaning of the correlation coefficient,found in part (b), in terms of the number of chirps and temperature.The correlation coefficientmeansr 3=(g) Find the linear regression equation (least squares regression line or line of best bit). Round decimal to two places. Ho: P _0H1: P _0(b) Test Statistic:(c) P-Value:(d) State and Interpret the final conclusion:(e) Compute the correlation coefficient,r 3DRound decimal to three places.(f) In one sentence, explain the meaning of the correlation coefficient,found in part (b), in terms of the number of chirps and temperature.The correlation coefficientmeansr 3D(g)Find the linear regression equation (least squares regréssion line or line of best bit). Round decimal to two places.ŷ =(h) Find the best predicted temperature (on ) at a time when a cricket chirps at a rate of 1209 chirps per minute. Round decimal to one place.(i)Determine the correlation of determination,and write one statement of explanation.Sincep? =this meansFor the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

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The data below show the number of times a cricket chirps in a minute when the temperature is at a certain level in degrees Fahrenheit. Chirps per minute Temperature (75 87.3 80.2 78.289.4 74.7 875 1150 1049 928 1199 850 F) Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps per minute and the temperature? Conduct a hypothesis test to reach a conclusion. Use a 0.05 significance level. Round decimal to two places. (a) Hypotheses: Choose from the following symbols to fill in the blanks: =, #,<,S,>,or 2 Ho: P H: P (b) Test Statistic: (c) P-Value:

The data below show the number of times a cricket chirps in a minute when the temperature is at a certain level in degrees Fahrenheit. Chirps per minute Temperature (75 87.3 80.2 78.289.4 74.7 875 1150 1049 928 1199 850 F) Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps per minute and the temperature? Conduct a hypothesis test to reach a conclusion. Use a 0.05 significance level. Round decimal to two places. (a) Hypotheses: Choose from the following symbols to fill in the blanks: =, #,<,S,>,or 2 Ho: P H: P (b) Test Statistic: (c) P-Value:

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

Ho: P _0
H1: P _0
(b) Test Statistic:
(c) P-Value:
(d) State and Interpret the final conclusion:
(e) Compute the correlation coefficient,
r 3D
Round decimal to three places.
(f) In one sentence, explain the meaning of the correlation coefficient,
found in part (b), in terms of the number of chirps and temperature.
The correlation coefficient
means
r 3D
(g)
Find the linear regression equation (least squares regréssion line or line of best bit). Round decimal to two places.
ŷ =
(h) Find the best predicted temperature (on ) at a time when a cricket chirps at a rate of 1209 chirps per minute. Round decimal to one place.
(i)
Determine the correlation of determination,
and write one statement of explanation.
Since
p? =
this means
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

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