Q9 Answer TRUE or FALSE for the statements below: The Pearson correlation coefficient (r) measures the degree of association between two variables. The two populations are not identical is the alternative hypothesis in the Mann-Whitney U test. The run test is applied for testing the randomness of the samples. i. ii. iii.
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- Which of the following is the name for the statistical hypothesis that describes an outcome of some change? Type I error Null hypothesis Alternative hypothesis Type II erroryou are given the following information about x and y. xi independebt varible yi dependent varible 4 12 6 3 2 7 4 6 The sample correlation coefficient equals _____.4 A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 4 8 3 7 0 6 5 6 GPA 2.7 2.3 3.4 2.4 3.5 2.9 2.7 2.8 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? ρ r μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically…
- Which of the following tests is appropriate, if we want to determine the relationship between workout duration (minutes) and the distance (kilometers).A. Two-sample t-testB. Kendall correlationC. Pearson correlationD. Spearman correlationAnyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…Department of Nursing Scholars Code. Good Luck! Question 25 Squaring the Pearson correlation coefficient (r2) tells us that O how much variance is shared by the two variables. O the direction of the association (positive or negative). O whether or not we need to conduct a Spearman test of correlation instead. O whether the correlation is statistically significant at the 0.05 level. * Previous ASUS VivoBook ,囝 f6 f80/ home f9 % 3 4 5 6 & 7 8 %24
- 3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…The scatterplot below shows the relationship between two random variables X and Y. (a) Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. (b) If, as noted in (a), r = -0.15 then what is the value of the correlation between 2X and 5Y? (c) Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot.A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete. What is the linear correlation coefficient? Round to three decimal places. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10
- A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete. Is the linear correlation coefficient significant? Set up the appropriate hypothesis to test the significance. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10 Group of answer choices H0: r = 0 and Ha: r ≠ 0 H0: r ≠ 0 and Ha: r = 0 H0: ρ = 0 and Ha: ρ ≠ 0 H0: ρ ≠ 0 and Ha: ρ = 0a. Which of the six correlations above are statistically significant (i) if you test each correlation using α = .05, two-tailed, and (ii) if you set EWα = .05 and use Bonferroni-corrected tests? n= 141 women in their college yearbook photos age: 52 I need to understand how to answer this question. and understand the formula. What do I do? MatildaIf the null hypothesis is true in a test of the Pearson’s correlation between X and Y, then __________. a. higher scores of X are paired with higher scores of Y b. none of mentioned here c. higher scores of X are paired with low and high scores of Y d. higher scores of X are paired with lower scores of Y e. lower scores of X are paired with higher scores of Y
