1 CoMpute and interpret the correlatiion coefficient for the following data: xx X 9 11 10 10 14 9 15 8 20 5 25 4 21 7 30 1 21 3 22 2 18 6
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- Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40 Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829 Calculate (by hand) the SStotal and SSmodel. What does mean by “goodness of fit”? What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand. What does tobs = 3.47 mean? What does tcrit = 3.47 mean? If the ƞ2 in an experiment is 0.6, give any possible value of ω2.A local veterinarian uses Z-scores to determine if newborn puppies of certain breeds are severely underweight, underweight, overweight, severely overweight, or within a typical weight range for their breed. Z-score Diagnosis Severely underweight Between -4.0 and -3.0 Underweight Less than -4.0 Between -3.0 and 3.0 Within the normal range Between 3.0 and 4.0 Overweight Severely overweight Greater than 4.0 Breed Mean (pounds) Standard deviation (pounds) Siberian Husky 23.2 2.5 Golden Retriever 31.5 2.1 Chow Chow 18.5 2.4 Shiba Inu 13.9 1.2 (a) What values would be considered to be normal for a hypothetical Siberian Husky puppy? Between and Enter an integer or decimal number (more. Report these answers to one decimal place (nearest tenth). (b) Show calculations and explain your reasoning.Use the Stata output below to answer the following question. The data used in this analysis is from a sample of airlines. The variables used are: fare-avg price of a one-way fare, in dollars dist- distance of the flight, in miles .reg fare ldist. Source Model Residual 551.391705 Total lfare SS ldist _cons 875.094374 df The OLS results suggest that 1 323.702668 120024315 4,594 MS Coef. Std. Err. 4,595 190444913 Number of obs F(1, 4594) Prob > F R-squared Adj R-squared Root MSE t P>|t| .4025646 .0077517 51.93 0.000 2.399834 .0521601 46.01 0.000 4,596 2696.98 0.0000 0.3699 0.3698 .34645 [95% Conf. Intervall .3873676 .4177617 2.297575 2.502093 a 1% increase in distance is associated with approximately a $.40 increase in the price of the fare. a 1% increase in distance is associated with approximately a .40% increase in the price of the fare. a 1% increase in distance is associated with approximately a 40 % increase in the price of the fare. None of the above.
- Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and Question Viewer 'alues of r using α = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width Weight Click here to view a table of critical values for the correlation coefficient. Aweight (kg) 300- 100- Construct a scatterplot. Choose the correct graph below. 7 7.2 117 ● 7.8 205 width (cm) 9.8 246 9.3 199 The linear correlation coefficient is r= (Round to three decimal places as needed.) B. 8.8 201 Aweight (kg) 300- 100+ 7 ● width (cm) 10 8.4 194 C. 300- weight (kg) ● 100+ 7 width (cm) 10 D. Aweight (kg) 300- 100+ 7 width (cm) 10Determine if there is an association between the cognitive strategy, cognitive reflectivity and the gray matter density of the ventral medial prefrontal cortex in the 22 participants? Here is a link to the data set collected by the researchers. Plot the data and calculate the correlation coefficient (r). Report your answer rounded to two decimal places. Use the Statistical Table C found in the Beetle Book on page 709-710 to find the critical t-value (0.05). Use formulas, functions, and the data analysis tool pack in Excel to avoid accruing rounding errors. Useful functions include =TDIST(t value,degrees of freedom,tails) to produce a p value for any type of a t-test from a data set =SQRT((1-r)/degrees of freedom) to produce the standard error of the correlation coefficient from a calculated correlation coefficient (r) statistic =CORREL(array1, array2) to produce a r value from a calculated correlation coefficient statistic =IF(t value < critical t,"reject","accept") to…In an experiment to determine the impacts of domestic and industrial waste accumulation on plant growth and development, a student took monthly measurements of the height and other growth parameters of maize plants grown in two different types of soil: Soil A (obtained from a domestic and industrial waste dump site) and Soil B (obtained from the University Farms, Legon). A summary of the height data obtained for two-month old maize plants is given below. Soil A Soil B Mean height of maize plants (cm) 39.2 32.6 Standard
- Urinary fluoride concentration (in parts per million) was measured for both a sample of livestock that had been grazing in an area previously exposed to fluoride pollution and a similar sample of livestock that had grazed in an unpolluted region. Do the accompanying data indicate strongly that the mean fluoride concentration for livestock grazing in the polluted region is larger than that for livestock grazing in the unpolluted region? Assume that the distributions of urinary fluoride concentration for both grazing areas have the same shape and spread. Use a significance level of 0.05. Group 1 (Polluted): 21.3 || 18.7 || 23.0 || 17.1 || 16.8 || 20.9 || 19.7 Group 2 (Unpolluted): 14.2 || 18.3 || 17.2 || 18.4 || 20.0 What is/are the Mann-Whitney Rank Sum critical value(s) for this problem? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 43 b 56 n 58,33 d 60The drug BGH (Bovine Growth Hormone) is reported to increase the milk production in dairy cows. It is known that the average milk production of dairy cows not using BGH is 58 pounds per day. The drug was tested on nine randomly selected dairy cows and the following weights were recorded: 59, 48, 66, 65, 80, 73, 69, 62, 70. a. Construct a 95% CI for the mean weight of milk produced by cows using BGH. b. Interpret this CI, what can you say about the effect of BGH on production?A two-tailed test at a 0.1031 level of significance has z values of a. -1.63 and 1.63 O b. -0.82 and 0.82 Oc.-0.82 and 0.82 Od. -1.26 and 1.26 Show All Feedback
- Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average of normal-to-normal beat interval (in milliseconds) for a 24-hour time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table. Measure ofHRV (averagenormal-to-normalbeat interval) Mean StandardDeviation Owns Dog 874 136 Does Not Own Dog 801 133 (a) The authors of this paper used a two-sample t test to test H0: ?1 - ?2 = 0 versus Ha: ?1 - ?2 ≠ 0. What assumptions must be reasonable in order for this to be an appropriate method of analysis?We must assume that the population distributions ---Select--- are aren't approximately normal.(b) The paper indicates that the null hypothesis from Part (a) was rejected and reports that the P-value is less than…Find the correlation coefficient between the “modules studied in the last semester and number of hours spend on reading the books” from your collected data.An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Car Compact 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of…