4. It has been said that one can use cricket chirps to estimate temperature. For this questionuse the following set of data points.Chirps in 1 minute 882Temperature (F)1188 11048641200103296090069.793.384.376.3 88.6 82.6 | 71.6 79.6(a) Obtain a scatterplot of the data.(b) Find the correlation coefficient.(c) Follow the steps below to perform a hypothesis test to determine if the linear corre-lation is significantly different from 0 at the 5% level.i. State the null and alternate hypothesis.ii. Use the r value from your Excel output to compute thet test statistic.2iii. State the appropriate degrees of freedom.iv. Use Excel to find the p-value for determining whether the correlation coefficientis significantly different from 0.v. Based on the p-value, do we to reject or not reject the null hypothesis? Whatcan you say about the existence of a linear relationship between cricket chirpsper minute and temperature (F)?(d) Use Excels Data Analysis to obtain the regression analysis.(e) State the regression equation. Provide a brief sentence that interprets the value ofthe slope.(f) Find the best predicted value when a cricket chirps 3000 times in 1 minute. What iswrong with this predicted value?

The independent variable is Chrips in 1 minute. The dependent variable is Temperature. We have to…

Answered: 4. It has been said that one can use…

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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The figure below plots the average brain weight in grams vs. average body weight in kg for 96 mammals. Brain weight (g) 4000- 3500 3000- 2500- 2000- 1500 Dolphin Human 1000- 500- 0 Hippo ▬▬▬▬ 800 1200 1600 2000 2400 2800 Body weight (kg) The correlation is r = 0.86. Explain what this value means. 400 type your answer... Elephant What effect would removing the elephant have on the correlation? Justify your answer. type your answer...
For each of a number of cities across Canada, the number of people with Cantonese as a mother tongue and the number of people with Mandarin as a mother tongue were rocorded. A scatterplot of the data is shown in the figure below. The correlation between the number of Cantonese speakers in a city aud the number of Mandarin speakers is 0.980. Do you think this correlation is a reasonable summary of the relationship? Why, or why not? (a) If the two largest cities (Toronto and Vancouver) were removed, the correlation would be even higher. (b) No, because there are outliers and/or influential points. (c) Yes, because the relationship is more or less linear. (d) No, because the relationship is clearly curved. (e) Yes, because there are no influential points.
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An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate(y beats per minute) 166 150 134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept. The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ = (d) Use the equation of the least-squares line from part (c) to predict the maximum…
use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? FORECAST AND ACTUAL TEMPERATURES The table lists actual high temperatures and the high temperatures that were previously forecasted for these same days. The table includes data for ten different days near the author’s home. What does the result suggest about the accuracy of five-day predicted high temperatures?
Weight (lbs.) 173 184 194 214 168 220 188 188 207 167 217 Systolic Blood Pressure 132 143 153 162 154 168 137 149 159 128 1 1. The sample correlation coefficient is _____________
(e)
Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2= (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)
Compute the Correlation Coefficient for the data displayed in the table below: x 24 31 38 27 33 y 63 72 79 65 73 Round your final decimal answer to three decimal places (round to the nearest thousandth) Correlation Coefficient = [cc] = _______________
The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. X 390 740 760 y 3.90 r 3.90 5.00 5.30 4.10 3.60 6.20 OH₂: P = 0 Ha: P 0 1,465 1,470 1,495 2,190 t = P-value = 6.98 7.45 4.85 7.70 4.55 6.70 8.80 OH₂: P = 0 H₂: P = 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. O Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. O Reject Ho. A…
The table below lists the mean systolic blood pressure during surgery (mmHg) along with blood loss (ml). Use this table to answer the next three (3) questions . BP Blood Loss 95274 90 170 Strength of Relationship 125 352 105317 weak moderate 110 171 105 150 90 245 90 120 none none 1/4 * 1/2; 3/4 13. Does the correlation coefficient indicate a strong linear correlation ? ( A) Yes ( B) No 14. Approximately what blood loss would you predict for a blood pressure reading of 140 ( A) 319 (B) 363 ( C) 401 ( D) 635 15. Do these data provide sufficient evidence , at the 0.05 level of significance , to indicate that the two variables are indeed correlated ?

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