(Hypothesis testing for significance of regression coefficients] The esti- mated slope coefficients for the WTI regression is 0.64 with a standard error of 0.26. Assume that the sample consists of 36 observations, test for the significance of the slope coefficient at 5% level of significance?
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![(Hypothesis testing for significance of regression coefficients] The esti-
mated slope coefficients for the WTI regression is 0.64 with a standard error of 0.26.
Assume that the sample consists of 36 observations, test for the significance of the
slope coefficient at 5% level of significance?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb7f5d0-51ba-4b67-b740-b96c2c6a521f%2F912bed54-a180-4178-bece-0ac122c9c589%2F0u2a5ao_processed.jpeg&w=3840&q=75)
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- Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.In this question, we investigate the relationship between the top (maximum) speed (mph) and maximum height for a random sample of roller coasters in the United States. Here is the scatterplot and a summary of the simple linear regression model. Construct a 95% confidence interval for the true slope of the regression line and interpret your confidence interval in context.A researcher wants to forecast the annual sales of Walmart, based on store size. To examine the relationship between the store size in square feet and its annual sales in million dollars, a sample of 14 stores was selected shown below in the image: Answer the following: i) Null hypothesis of correlation ii) Coefficient of Correlation and its interpretation iii) Interpret the sig value of ANOVA. iv) Coefficient of Determination and its interpretation v) Write down the Regression Model. vi) Interpret the value of ‘a’ vii) Interpret the value of ‘slope’
- c. At 5% significance level, is there evidence of a linear relationship between shelf space and sales? (use t-test for correlation coefficient) d. Determine the least square regression equation for this data.. A researcher wants to forecast the annual sales of Walmart, based on store size. To examine the relationship between the store size in square feet and its annual sales in million dollars, a sample of 14 stores was selected shown below in the picture : Answer the following: i) Null hypothesis of correlation ii) Coefficient of Correlation and its interpretation iii) Interpret the sig value of ANOVA. iv) Coefficient of Determination and its interpretation v) Write down the Regression Model. vi) Interpret the value of ‘a’ vii) Interpret the value of ‘slope’Togetherness Are good grades in high school associ-ated with family togetherness? A simple random sample of 142 high-school students was asked how many mealsper week their families ate together. Their responses produced a mean of 3.78 meals per week, with a stand-ard deviation of 2.2. Researchers then matched these responses against the students’ grade point averages. Thescatterplot appeared to be reasonably linear, so they went ahead with the regression analysis, seen below. No appar-ent pattern emerged in the residuals plot. Dependent variable: GPAR-squared = 11.0%s = 0.6682 with 142 - 2 = 140 dfVariable Coefficient SE(Coeff)Intercept 2.7288 0.1148Meals/wk 0.1093 0.0263 a) Is there evidence of an association? Test an appropri-ate hypothesis and state your conclusion. b) Do you think this association would be useful inpredicting a student’s grade point average? Explain.c) Are your answers to parts a and b contradictory?Explain.
- A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis (Pearson's Correlation)1. Explain the purpose or use of the following:a. Linear regression equationb. Correlation coefficient.Regarding a scatterplot, a. identify one of its uses. b. what property should it have to obtain a regression line for the data?
- A magazine surveyed graduates, asking about their point of view of the colleges they had attended. One good predictor of early career earnings ($/year) turned out to be the average SAT score of entering students. Here are the regression model and associated plots. Discuss the assumptions and conditions necessary for proceeding with the regression analysis. Do you think the conditions are satisfied? What conditions and assumptions must be satisfied? Select all that apply. A. Extrapolation Assumption B. Uniform Mean Assumption C. Independence Assumption D. Normal Population Assumption E. Linearity Assumption F. Reasonable Outliers Assumption G. Equal Variance AssumptionA researcher wants to evaluate the null hypothesis which states that the amount of time college students spend online does not significantly predict their GPA. What is the best analysis to test this null hypothesis? Group of answer choices Independent samples t test One-way ANOVA Pearson’s r Regression analysis Partial correlation analysisA drug company wants to test a new cancer drug to find out if it improves life expectancy. Patients were randomized to receive a placebo or the new cancer drug. What Is the most suitable statistical test for this research? a.Two-sample T-Test b. Paired T-Test c. ANOVA d.Linear Regression