The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ρ (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ρ yet. However, there is a quick way to determine if the sample evidence based on ρ is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ρ ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of α in the table gives us the probability of concluding that ρ ≠ 0 when, in fact, ρ = 0 and there is no population correlation. We have two choices for α: α = 0.05 or α = 0.01.   (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use α = 0.05. (Use 3 decimal places.) x 3 6 12 22 26 y 60 95 140 188 186 r   critical r   (b) Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use α = 0.01. (Use 3 decimal places.) x 1004 975 992 935 988 920 y 40 100 65 145 75 150 r   critical r

Here are the scatter plots for two sets of bivariate data with the same response variable. The first compares the variables x & y. The second compares the variables w & y 00⁰0 889 Which explanatory variable has a stronger relationship with the response variable y? The first variable (x) has a stronger relationship with the response variable y. The second variable (w) has a stronger relationship with the response variable y.

you 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 _____.

ont Paragraph Styles 4. The given table below shows the respective correlation coefficients between two variables with the corresponding p-values. Assume that the target population is composed of all ADZU employees. Required: a) Write the null hypothesis(Ho) and alternative hypothesis (Ha) for each pair of variables as reflected in the table below. b) Decide whether the null hypothesis can be rejected and then discuss the results (at least 15 words) for each pair of variables. Fasting Blood Sugar Level (FBSL) Systolic Blood Pressure (SBP) 0.85 p-value = 0.03 Body Mass Index (BMI) -0.63 p-value=0.005 Focus W Accessibility: Investigate 17 17 43

QUESTION 18 A researcher notes that there seems to be a difference in the prevalence of high blood pressure among college-educated individuals who consume low amounts of processed foods and the prevalence of individuals who only have a high school education and consume high amounts of processed foods. Use the appropriate hypothesis to test for the independence of the two independent variables presented here at the 5% significance level to ensure confounding has not influenced the study’s results. Then, interpret your response.   Diet Low in Processed Foods Normal BP High BP Total College Education 124 55 179 High School Education 69 152 221 Total 193 207 400   Diet High in Processed Foods Normal BP High BP Total College Education 64 85 149 High School Education 98 153 251 Total 162 238 400     The chi square value of 37.724 is higher than the chi square value of 3.84; therefore, we do not reject H0 at the 5% level and reject H1, which states that level…

4. A community college wants to analyze the age and GPA of its students. Here is the data: Age 18 40 25 38 44 19 51 28 31 24 GPA 2.9 3.3 2.0 3.9 3.7 2.7 3.9 3.5 1.9 2.9 3.4 Can we say that there is a significant relationship between these variables? (Use a = %3D .05) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence: 21

Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is the same because the formula is dependent on the symbols.The result is the same because the formula is not dependent on the symbols.    The result is different because the formula is not dependent on the symbols.The result is different because the formula is dependent on the symbols. (b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer. The result is different because the formula is dependent on which values are the x values and which values are the y values.The result is the same because the formula is dependent on which values are the x values and which values are the y values.    The result…

A study of bone density on 5 random women at a hospital produced the following results. Age    41    45    49    69    73Bone Density    360    350    345    335    330 Step 3 of 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.

I need help with stats, section 7.2 and 7.3, please help with TI-84 calculator commands Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.   ​Claim: μ=40​; α=0.01​; σ=3.17. Sample​ statistics: x=38.1​, n=72   Identify the null and alternative hypotheses. Write out the correct null and alternative hypotheses.           Calculate the standardized test statistic: The standardized test statistic is ________________ (round to 2 decimal places as needed)   Determin the critical value(s).  Select the correct choice below and fill in the answer box to complete your choice.  (round to 2 decimal places as needed) a. the critical value is ______________ b. the critical values are + _ ___________   Determine the outcome and conclusion of the test.  Choose the correct answer below. A. fail to reject Ho.  AT the 1% significane level, there is not enough evidence to reject the claim. B. fail to reject Ho.  At the 1% significance…

Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².