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- A social psychologist wants to see if altruism is significantly related to a person’s general health. He gets altruism scores and a measure of general health from the participants’ medical providers. The data are listed below. Higher altruism scores mean greater altruism, while high health scores = good health. Complete the appropriate statistical test and hypothesis testing using the 4 step approac Participant altruism X health Y X squared Y squared (X)(Y) A 101 33 3333 B 93 40 3720 C 85 24 2040 D 111 46 5106 E 104 30 3120 F 89 28 2492 Total State your conclusion in APA format. Alpha level = .05.Reading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books Read (X) ACT Score (Y) (X- Xmean) (Y - Ymean) (X-Xmean)(Y-Ymean) (X-Xmean)? (Y - Ymean)? 2 16 -5.4 -14.9 81 29 221 2 19 -5.4 -11.9 64 29 141 3 17 -4.4 -13.9 61 20 192 4 25 -3.4 -5.9 20 12 34 21 -3.4 -9.9 34 12 97 24 -1.4 -6.9 10 2 47 6 21 -1.4 -9.9 14 2 97 8 24 0.6 -6.9 -4 47 7 27 -0.4 -3.9 2 15 10 22 2.6 -8.9 -23 7 78 Total 52 216 259.1 113.3 969.3 МEAN 7.4 30.9 a. Identify the regression line using the number of books read to predict ACT Reading score. Use a = .05 to evaluate the quality of the prediction of the regression line. b. What is the predicted ACT Reading score when 5 books are read?Q1 Collect sufficient data about any two quantitative variables (logically correlated) using reasonable sets of values (At least 20 values). Use Microsoft Excel and answer the following: First: Determine the independent variable and the dependent variable. Second: Make the correlation analysis, determine the correlation coefficient, and interpret it. Third: Conduct the regression analysis and answer the following questions: What is the type of regression in your example? Write the sample size. Find the degrees of freedom. Find the value of the coefficient of determination, and interpret it. Is your model valid? Why? Is the independent variable having a significant effect on the dependent variable? Why? Write down the regression line equation. Estimate the value of ŷ at any value of X.
- Rain Simpson, Alsen, and Eden (Technometrics 1975)report the results of trials in which clouds were seededand the amount of rainfall recorded. The authors reporton 26 seeded and 26 unseeded clouds in order of the amount of rainfall, largest amount first. Here are two pos-sible tests to study the question of whether cloud seeding works. Which test is appropriate for these data? Explainyour choice. Using the test you select, state yourconclusion.Paired t-Test of m11 - 22Mean of Paired Differences = -277.39615t-Statistic = -3.641 w>25 df p = 0.00122-Sample t-Test of m1 - m2Difference Between Means = -277.4t-Statistic = -1.998 w>33 df p = 0.0538a) Which of these tests is appropriate for these data?Explain.b) Using the test you selected, state your conclusion.Research was conducted on the amount of training for 5K race and the time a contestant took to run the race. The researcher recorded the number of miles a contestant ran during the last month of training and the time it took the contestant to complete the 5K. The results are below. Miles Trained 65 78 90 91 104 112 Time (Minutes) 23 26 34 39 42 50 (a) Give the correlation coefficient. Round to one decimal place. (b) Use technology to write the regression equation that predicts the time it takes a contestant to complete the race by using the miles trained as the explanatory variable. Complete the missing parts of the equation below, rounding values to one decimal place. ý (c) Interpret the y-intercept in the context of this scenario. O Each additional mile of training reduces the time needed to complete the 5K by 0.6 minutes. A contestant who has not trained at all in the last month can expect to complete the 5K in 0.6 minutes. X O A contestant who has not trained at all in the last…J 2
- A local ice cream shop collects data on the temperature of the day and how many ice cream cones were sold that day. What type of data was collected? Bivariate and Quantitative Bivariate and Categorical Univariate and Quantitative Univariate and CategoricalHow is the hatching of water python eggs influenced by the temperature of the snake's nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. The table shows the result of the experiment. The researchers will use a chi-square test for homogeneity to analyze the findings. Hatching status Yes No Total Cold 16 11 27 Water Temperature Neutral Hot 38 75 18 56 104 Total 129 58 187 Which of the following is false? All of the conditions are met for conducting a chi- square test for homogeneity. The data came from 3 groups in a randomized experiment. All expected counts are at least 5. The 10% condition is met. The 10% condition is not needed because the eggs were not randomly selected from the population. IncorrectResearch was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=
- Find quartile 1 (Q1) of the data set. {-4, -6, -9, -3, -2, -4, 0} O -6 ere to search F2 F3 F4 F5 F6 F7 F8 F9Given the Information, find the equation for the least squares line as well as the correlation coefficient. (Round your values to two decimal places.) n= 10, 57, r-1,E-13, - 353, 45 -0.665x +3.8905 r0 53 Need Help? Read it Additional Materials Tech Guide Excel Tech Guide TI-83/84 OTech Guide THNspireRight arm 102 101 94 79 79 Left arm 175 169 182 146 144 If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?
