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:

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Chapter4: Writing Linear Equations
Section4.5: Analyzing Lines Of Fit
Problem 31E
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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: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.
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).
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 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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