Residuals Given the below residual plot, what should you do next in your analysis? 4 -2 0 2 049 80 -8-6 Residuals vs Fitted ०० 88 8 8° 81° 30° -4 -2 0 2 46 Fitted values O Contact a statistician O Collect more data O Calculate the line equation Test significance with a t-test for regression
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- Ozone The Environmental Protection Agency is examin-ing the relationship between the ozone level (in parts per million) and the population (in millions) of U.S. cities.Part of the regression analysis is shown.Dependent variable is: OzoneR-squared = 84.4%s = 5.454 with 16 - 2 = 14 dfVariable Coefficient SE(Coeff)Intercept 18.892 2.395Pop 6.650 1.910a) We suspect that the greater the population of a city, thehigher its ozone level. Is the relationship significant?Assuming the conditions for inference are satisfied, test an appropriate hypothesis and state your conclu-sion in context. b) Do you think that the population of a city is a usefulpredictor of ozone level? Use the values of both R2and s in your explanation.Plot X & Y axis as a scatter plot and describe the plotted data. Calculation (no changes here): Does increased rainfall correlated to higher crop yield? If you were testing for significance, state the null hypothesis and alternative hypothesis you were testing for both correlation and regression. List three factors that contributes to your conclusion. ThanksDraw a scatter diagram for the above data Obtain the regression equation by using least square method Predict the price of a house with a size of 28 square feet
- Do a complete regression analysis by performing the following steps: Draw the scatter Compute the value of the correlation Determine the regression line equation if r is Plot the regression line on the scatter plot, if Predict yʹ for a specific value of x, if A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are Speed, x 48 74 52 79 83 56 85 63 88 74 90 92 Time, y 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5 If there is a significant relationship, predict the time it will take the average secretary who has a typing speed of 72 words per minute to learn the word processing program.Is the regression coefficient significantly different from zero? How do you know? What is the predicted number of weekly shopping trips for someone making $50,000/year? In words, what is the meaning of the coefficient 0.19? What is the value of the correlation coefficient?Statistical Analysis (You may use excel but please show the process. No long explanation needed. Rate will be given) Multiple Choice: Choose the correcr answer A. Find a regression line relating systolic blood pressure to weight B. Test for significance of regression using α = 0.05 C. Estimate the correlation coefficient Choices: a. y = -25.294 + 1.426x Regression model is significant r = 0.77349 b. y = 69.104 + 0.419x Regression model is significant r = 0.77349 c. y = 69.104 + 0.419x Regression model is not significant r = 0.5982 d. y = 5.50 + 6.73x Regression model is significant r = 0.77349 e. y = 69.104 + 0.419x Regression model is not significant r = 0.77349
- The scatter plot below summarises the relationship between age of a driver and how far theycan see. The mean age is 51 years with a standard deviation 22 years. The mean distance that drivers inthe sample can see is 423 meters with a standard deviation of 82 metres. The R-squared for the plot is64.20%. Calculate by hand: (a) correlation coefficient between age of drivers and the distance they can see (b) the equation of the regression lineThe plot below is a residual plot (residuals versus x) of residuals remaining after fitting a linear model to a set of data. Describe important features and determine if a linear model would be appropriate for this data set. Choose all answers that apply. A linear model would NOT be appropriate A linear model would be appropriate There is higher variability with smaller x There is higher variability with larger xUsing your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. Thr regression equation is reported as y = - 72.42x + 11.39 %3D and the r 0.2. What percentage of the variation in y can be explained by the variation in the values of x? % (Report exact answer, and do not enter the % sign) Submit Question
- Please find attached image for table Estimating Relationships – There are many statistical tools used to estimate relationships between variables. These include covariance, correlation, ANOVA, simple linear regression, and multiple regression. In the table below, enter a Yes (or Y) or No (or N) in each box to indicate the best response. If a box does not apply, enter NA.Determine the regression equation for the data round the final values to the three significant digits if necessaryWhich of the following is the point at which the regression line crosses the y-axis? Group of answer choices Y-intercept predicted value observed value slope