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:
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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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
Transcribed Image Text:QUESTION 11
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 78.2 89.4 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:
=,#,<,<,>, or >
Ho: P
H1: 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 coefficient
means
r 3=
(g) Find the linear regression equation (least squares regression line or line of best bit). Round decimal to two places.
Transcribed Image Text: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
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