Sample slope: i p-value: i Does X appear to be an effective predictor of the response variable Y?
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From the given output our aim is to find the values of sample slope and p-value
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- In the US, 46.2% of all people have type O blood, 39.1% have type A blood, 10.4% have type B blood and 4.3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3116 millionaires. What can be concluded at the a = 0.01 significance level? a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency Expected Frequency 1434 A 1224 В 310 AB 148 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Но: O Blood type and income are independent. O The distribution of blood type for millionaires is not the same as it is for Americans in general. O The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and income are dependent.A study wants to see if a program aimed at increasing reading accuracy works for elementary school students. They have a group of 20 participants. All 20 get measured at the beginning of the study, and measured again at the completion of the reading program. This is an example of a: Within subjects study Between subjects study A correlation study A mixed design study The main difference between an ANOVA and a t-test is: Group of answer choices An ANOVA can look at more than 2, and t-test looks at only 2 means at a time An ANOVA looks at only 2 means at a time, and t-test can look at more than 2 A t-test can have nominal dependent variables An ANOVA can have a nominal dependent variableWhich scatter plot shown has a correlation coefficient, r, closest to 0?
- Experimental or Observational: A group of students is interested in knowing if there is a correlation between the amount of sleep kids get and their performance on the SAT. They have 20 kids sleep for 5 hours, 20 kids sleep for 6 hours, 20 kids sleep for 7 hours, and 20 kids sleep for 8 hours. They get their SAT scores and analyze the data. ______________Fill in the blank. A A Jhy trial exists between two variables when the values of one variable are somehow associated with the values of the other variable. exists between two variables when the values of one variable are somehow associated with the values of the other variable. correlation inference differenceFill in the blanks. a. Positive correlations between observations of the response variable result in an underestimate of ________. b. Data collected from a designed experiment is generally preferable to data obtained from ________. c. Adata point whose removal has a substantial effect on one or more sample regression coefficients is called an _________.
- CorrelationIn a regression analysis, three independent variables are used in the equation based on a sample of 47 observations. In the ANOVA table for a multiple regression analysis, what are the degrees of freedom associated with the F-statistic? Multiple Choice 3 and 46 4 and 47 3 and 43 2 and 46Write your complete solutions. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in the table below. Assume that the final averages are jointly normally distributed. (a) Find the regression line relating the statistics final average to the OR final average. Graph the data. (b) Test for significance of regression using a = 0.05. (c) Estimate the correlation coefficient. (d) Test the hypothesis that p = 0, using a = 0.05. (e) Test the hypothesis that p = 0.5, using a = 0.05. equations on this slide to answer the question) (f) Construct a 95% confidence interval for the correlation coefficient. Statistics OR Statistics OR Statistics OR 86 80 86 81 83 81 75 81 71 76 75 69 75 65 72 71 75 81 84 85 90 92 71 72 94 95 62 65 83 80 90 93 76 84 97 70 73 72 80 98
- Square this value (r2). Include the value and describe this correlation to someone who is not in statistics class.IQ tests supposedly measure our intelligence. They typically are ‘normed’ so that they have a mean of 100 and a standard deviation of 15. (Higher scores show higher intelligence.) Use the graph and use the z-score and percents from columns b and c in Table A, when relevant. If you scored 132, what is your z-score? (Interpret.) Use table A X, z(a), (b), and (c) X z (a) (b) (c) and use the graph! Write down or save your response to use in Part 2 of this quiz. Group of answer choices -2.53 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. 2.13 z. I'm at the 98.34 percentile rank and 1.66% of people scored smarter than me. -2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 0.57 percentile rank and 99.43% of people scored smarter than me. 2.13 z. I'm at the 1.66 percentile rank and 98.34% of people scored smarter than me. 2.53 z. I'm at the 99.43 percentile rank…The paired data below show the Coursework marks of 6 randomly selected students from a statistics course at UWI and their Final Exam marks in the same course. Coursework Mark, x Final Exam Mark, y > x yresult summary (result). Call: 1m (formula y x) Residuals: 1 A 27 22 B 28 34 A linear regression equation was found using R, and the output is shown below. 2 3 4 -7.5563 3.5822 0.3659 3.3830 -1.7252 1.9509 Student Coefficients: Estimate Std. Error t value Pr (>t|) (Intercept) 6.2964 4.6774 1.346 0.24949 0.1706 5.048 0.00724 ** 0.8615 C с 12 17 D 41 45 Signif. codes: 0 **** 0.001 **0.01 0.05 0.11 Residual standard error: 4.698 on 4 degrees of freedom Multiple R-squared: 0.8643, Adjusted R-squared: 0.8304 F-statistic: 25.49 on 1 and 4 DF, p-value: 0.007239 E 33 33 F 9 16 a) Write out the model for the simple linear regression. Define all terms used in the model. b) What are the values of the intercept and the slope of the regression equation? c) Write out the regression equation. d) A UWI…