(a) Are X and Y statistically independent
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(a) Are X and Y statistically independent](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64a7f553-9f71-4671-ad02-5366fc01f65a%2F5ddc1a6a-eca5-4709-afd6-4b9db68a2f10%2F053fo6s_processed.jpeg&w=3840&q=75)
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- Create scatterplots using the data in the spreadsheet linked above and display the equation for the regression line. What is the equation for the regression line that predicts mortgage amount using household income as the explanatory variable? Ý : Ex: 1.234 x + (Ex: 1.234) What is the interpretation of the slope? Pick What is the interpretation of the intercept? Pick Pick Household income when mortgage amount is 0 Mortgage amount when household income is 0 No practical interpretation 2Consider the following joint random variable pmf for X and Y: x y -1 0 1/4 0 1 1/8 1 1 1/2 1 0 1/8 What is the correlation of X and Y?. The table below gives beverage preferences for random samples of teens and adults. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 400 600 1,000 We are asked to test for independence between age (i.e., adult and teen) and drink preferences. (A) Ho: Drink preference and age are dependent (B) With a 0.05 level of significance, the critical value for the test 7.815 (C) The test statistic for this test of independence is 62.5 (D) The p-value is less than 0.975
- fllustration 21.9. Compare the association between literacy and unemployment in urban and rural areas from the following obser- yations: Urban Rural (in lakhs) Total adult males 25 200 Literate males 10 40 Unemployed males Literate and Unemployed males 12 4a) Given the data below on students' scores, derive the regression equation b) Calculate Spearman's rank correlation coefficient between the two students' scores below and interpret the result. A: 2 5 3 1 8 4 7 6 B: 3 7 4 1 8 5 6 2 (b) Consider the following set of data: 12 36 10 32 14 37 16 18 20 22 39 X 24 26 28 37 36 39 42 38 31 Calculate the Pearson correlation coefficient between x and y and comment on the result.For a sample of n = 25 individuals, how large a Pearson correlation between two variables, X and Y, is necessary to be statistically significant for a two-tailed test with α = .05? A)0.405 B)0.382 C)0.389 D)0.397
- High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 296 218 2 289 214 3 280 180 4 295 205 5 281 168 6 281 201 7 283 170 8 285 182 Send data to Excel Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 (a) Use a calculator to construct a 90% confidence interval for the mean reduction in cholesterol level. Round your answers to at least one decimal place. The confidence interval for the mean reduction in cholesterol level is , .5. (10) A recent Gallup Organization Poll asked male and female Americans whether they were pro or pro choice when it comes to abortion issues. The results of the survey are as follows: life Opinion Pro-Life Pro-Choice Gender Men 195 200 Women 240 250 Test whether an individual's opinion regarding abortion is independent of gender at the a = 0.025 level of significance.If we reject the null hypothesis, H0: ρ = 0, what can we conclude about the population correlation coefficient? A) It is zero. B) It could be zero. C) It is not zero. D) It equals the computed sample correlation.
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