22. Crickets and Temperature Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute. What is wrong with this predicted temperature? Chirps in 1 min 882 1188 1104 864 1200 1032 960 900 Temperature (°F) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6
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- Section 10.3 Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 11 14 20 28 31 34 Temperature 55 39 26 −2 −34 −41 −59 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)Section 10.2 Question #5 Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 7 10 8 9 12 14 13 5 11 6 4 y 8.11 10.67 9.27 10.12 10.86 9.82 10.49 4.89 10.91 6.66 2.82 y= ____________+ _____________x (Round to two decimal places as needed.)Find the quartic function that is the best fit for the data in the following table. x y-3 61-2 9-1 10 11 -32 13 49 The quartic function that is the best fit for the given data is y=?
- Chapter 5, Section 1, Exercise 019 MORE BENEFITS OF EATING ORGANICUsing specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing H0 : po= pcHa: po > pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level.Effect of Organic Bananas After 25 DaysAfter 25 days, the proportion of fruit flies eating organic bananas still alive is 0.42, while the proportion still alive eating conventional bananas is 0.40. The standard error for the difference in proportions is 0.029.What is the value of the test statistic?Round your answer to two decimal places. z= What is the p-value?Round your answer to…Chapter 5, Section 1, Exercise 018 MORE BENEFITS OF EATING ORGANICUsing specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing H0 : po= pcHa: po > pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level.Effect of Organic Soybeans After 5 DaysAfter 5 days, the proportion of fruit flies eating organic soybeans still alive is 0.92, while the proportion still alive eating conventional soybeans is 0.84. The standard error for the difference in proportions is 0.023.What is the value of the test statistic?Round your answer to two decimal places. z= What is the p-value?Round your answer to…Section 10.3 Question #7 Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 99%confidence level with a court income of $800,000. Court Income $63 $410 $1556 $1123 $297 $252 $105 $159 $26 Justice Salary $25 $42 $92 $54 $47 $63 $25 $26 $20 a. Find the explained variation. ______________ (Round to three decimal places as needed.) b. Find the unexplained variation. _______________ (Round to three decimal places as needed.) c. Find the indicated prediction interval. $ _____________ < y < $…
- Section 10.2 Question #10 Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.7cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05. Overhead Width (cm) 7.4 7.3 9.3 7.7 8.8 8.4 Weight (kg) 135 161 238 146 212 203 View the critical values of the Pearson correlation coefficient r. Critical values of the pearson correlation coefficient r n α=0.05 α=0.01 NOTE: To test H0: ρ=0 against H1: ρ≠0, reject H0 if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532…Which of the following leads to a model being selected with the fewest number of variables? Lasso Forwards stepwise variable selection Ridge regression It is not possible to say from the given information.Chapter 6, Section 4-D, Exercise 181 Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 26 from Population 1 with mean 6.6 and standard deviation 4.0 and samples of size 44 from Population 2 with mean 8.5 and standard deviation 7.4Round your answer for the standard error to two decimal places.standard error
- Chapter 6, Section 3-HT, Exercise 166 MORE BENEFITS OF EATING ORGANICUsing data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.1 In this case, we are testing H0:po=pcHa:po>pcwhere po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have n1=n2=500. Show all remaining details in the test, using a 5% significance level.Effect of Organic Raisins After 15 DaysAfter 15 days, 320 of the 500 fruit flies eating organic raisins are still alive, while 300 of the 500 eating conventional raisins are still alive.1Proportions approximated from information given in the paper. Give the test statistic…Altman Z Score 2018 2019 2020 BHP 0.80 0.71 0.63 FMG 1.12 1.26 1.38 RIO 1.36 1.34 1.34 Comment on the findings of each company and is it useful in predicting financial failureChapter 6, Section 3-HT, Exercise 168 MORE BENEFITS OF EATING ORGANICUsing data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data from this study.1 In this case, we are testing H0:po=pcHa:po>pcwhere po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have n1=n2=500. Show all remaining details in the test, using a 5% significance level.Effect of Organic Raisins After 20 DaysAfter 20 days, 275 of the 500 fruit flies eating organic raisins are still alive, while 170 of the 500 eating conventional raisins are still alive. 1Proportions approximated from information given in the paper. Give the test…