3. Using the attached data set (or CPS08 from the textbook Empirical Exercise E4.1), run aregression of average hourly earnings (AHE) on Age and carry out the following exercise:a. Is the estimated regression slope coefficient statistically significant (or, can you reject the nullhypothesis Ho: B₁ = 0 versus a two-sided alternative at the 5% significance level? What is thep-value associated with coefficient's t-statistics?b. Construct a 95% confidence interval for the slope coefficient.SUMMARY OUTPUTRegression StatisticsMultiple R0.17036366R Square0.02902378Adjusted R Sq 0.02889782Standard Erro 9.99186151Observations7711ANOVARegressionResidualTotaldfSSMSFSignificance F1 23005.7375 23005.7375 230.432297 2.6346E-517709 769645.718 99.83729647710 792651.456Lower 95.0% Upper 95.0%Coefficients Standard Error t Stat1.08227522 1.18425524 0.91388679P-value Lower 95% Upper 95%0.36080492 -1.2391869 3.40373732 -1.2391869 3.40373732InterceptX Variable 1 0.60498629 0.03985418 15.1799966 2.6346E-51 0.52686127 0.68311131 0.52686127 0.68311131

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Answered: a. Is the estimated regression slope…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Baseball statisticians studied how often triples (a certain event in a baseball game) occurred in professional games played between 1947 and 2017. A 98 percent confidence interval to estimate the slope of the linear regression line relating the year, x, and the mean number of triples per game, y, yielded (−0.006,−0.002). A check shows that the conditions necessary for inference for the slope of the regression line are met.
Researchers are examining the relationship between hours of sleep and athletic performance among college athletes. Athletic performance will be measured on a numeric scale, with greater numbers indicating better performance. The researchers expect that the more hours the athletes sleep, the better they will perform. Assuming all conditions for inference are met, the researchers will create a 95 percent confidence interval for the slope of the regression line for predicting athletic performance from amount of sleep. For which of the following would the confidence interval support the researchers' expectations? (A) The confidence interval includes only positive values. (B) The confidence interval includes only negative values. (C) The confidence interval has a width less than 1. (D) The confidence interval has a width greater than 1. (E) The confidence interval includes the value 0.
5) What is true about a regression using data from a randomized controlled trial? a) The independent variable is exogenous because it was determined randomly. b) The line of best fit does not minimize the sum of squared residuals. c) It eliminates all error due to unmeasured variables. d) The estimated slope is significant no matter how many observations are in the sample. e) The slope of the line of best fit must be equal to the true relationship.
a. b. C. Name: 3. You have been provided the following regression summery output for the demand for Good X. F df Significance F 0.00000798529 53.29202 Regression Residual Total Intercept Price (Px) Income (1) Price Other (Py) 3 56 59 Coefficients 355.8130 -4.9835 0.8762 -1.4893 SS 824.897 209.662 1,034.559 Standard Error 0.632473 0.939474 0.487969 0.968633 MS 255.3953 4.792375 P-value 6.45E-05 0.001985 0.078924 0.027889 Using the estimates above, state the demand function rounded to two decimals (Format: Qx=do+a1 Px + a ₂1+ a 3Py): Is the product called X a normal or inferior good? (motivate) Is the "Price Other (Py)" referring to a complement or substitute good (motivate)
Researchers at UC San Francisco discovered that highplasma levels of vitamins B, C, D, and E are associated with better cognitive performance. “Each standard devia-tion higher plasma level for these vitamins predicted a global cognitive score 0.28 standard deviations better,”the researchers reported. Which value are the researchersinterpreting in this statement?A) the correlation coefficient between plasma level andcognitive scoreB) the y-intercept of the regression model predictingcognitive score from plasma levelC) the slope of the regression model predicting cognitivescore from plasma levelD) the standard deviation of the regression model’sresidualsE) R2for the regression model
To investigate the relationship between the selling price of a house, yy, in dollars, and the size of the house xx, in square feet, a local builder collected data on a random sample of 120 houses from a certain region. Assume that the conditions for inference for the slope of a regression line are met. The resulting 95 percent confidence interval for the population slope of the regression line relating price and size is given by (62,99). The local builder claims that the selling price of houses from the region increases by $104 for every extra square foot of space in the house. Which of the following best describes the conclusion that can be reached about this claim based on the confidence interval? A)The claim is supported by the interval, since the interval does not contain the value 0. B)The claim is supported by the interval, since all values in the interval are positive. C)The claim is supported by the interval, since the interval does not contain the…
A small independent organic food store offers a variety of specialty coffees. To determine whether price has an impact on sales, the managers kept track of how many kilograms of each variety of coffee were sold last month. The data and summary statistics (including the averages, standard deviations and the correlation coefficient) are shown in the table. If the "price per kilogram" is the predictor variable and "kilograms sold" is the response variable, then use a regression line to predict the the amount of kilograms sold for a "price per kilogram" equal to $15. Round your numbers to 3 decimal places.
A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable. If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked? A)The true relationship between heart rate and maximal oxygen uptake is linear. B)The correlation between heart rate and maximal oxygen uptake is not equal to zero. C)The confidence interval is not biased. D).The point (x_,y_) falls on the regression line. The X and Y have a line on top. E)The slope is not equal to zero.
A new method was developed to reduce variability of test scores by eliminating lower scores. Two groups, one called the control group and the other, the experimental group, both took the same test. The experimental group was taught using the new method. Do the data provide sufficient evidence to conclude that there is less variation among scores when the new method is used? Perform an F-test at the 1% significance level. (Note: s, = 6.3 and Control Experimental 30 19 29 26 33 36 29 18 33 31 S2 = 3.3.) 33 18 19 32 27 32 29 30 33 ... .. First find the null and alternative hypotheses. Which of the following correctly states the hypotheses? O A. Ho: 01 72 Ha: 01 = 02 O B. Ho: 01 >02 Ha: 0102 Ha: 01 #02 O E. Ho: 01 =02 Ha: 01 02 nts SCO Compute the test statistic F. Scor (Round to three decimal places as needed.) ess
Select all statements that are true of the least-squares regression line. ) It assumes a linear relationship between the explanatory and the response variable. R-squared is the portion of sample variance in the explanatory variable that can be explained by variation in the response variable. ) It can be used to predict the mean response of the explanatory variable. | R-squared is the portion of sample variance in the y variable that can be explained by variation in the x variable.
Let's study the relationship between brand, camera resolution, and internal storage capacity on the price of smartphones. Use α = .05 to perform a regression analysis of the Smartphones01CS dataset, and then answer the following questions. When you copy and paste output from MegaStat to answer a question, remember to choose to "Keep Formatting" to paste the text. a. Did you find any evidence of multicollinearity and variance inflation among the predictors. Explain your answer using a VIF analysis. b. Copy and paste the normal probability plot for your analysis. Is there any evidence that the errors are not normally distributed? Explain. c. Copy and paste the Residuals vs. Predicted Y-values. Does the pattern support the null hypothesis of constant variance for the errors? Explain. d. Study the residuals analysis. Which observations, if any, have unusual residuals? e. Study the residuals analysis. Calculate the leverage statistic. Which observations, if any, are high leverage…
Only do D.

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