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- A negative correlation between variables X and Y will always result in a positive slope in the linear regression model. Cannot tell from the given information. False TrueSelling Price of single-family homes in Seattle are based on land values and structural improvements. You collected data on 28 recent single-family home sales in Seattle. You recorded selling price (in $000) and size (in square ft) of each home. You then completed a simple regression analysis to explain variation in selling price as a function of home size. (Attached picture) d) Interpret the value for the estmated slope coefficient for Size in this situation or context (be specifc) e) Interpret the value for the estimated intercept coefficient in this situation. Should we give any importance to the intercept interpretation? f) State the hypotheses associted with testing the statistical significance of the relationship between Size and Selling Price. What is your decision about the null hypothesis given alpha= 0.05 (reject or fail to reject)?Finally, the researcher considers using regression analysis to establish a linear relationship between the two variables – hours worked per week and yearly income. (a) Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the linear model. (b) Display and interpret the value of the coefficient of determination, R-squared (R2). Data Hours Per Week Yearly Income ('000's) Class 18 43.8 13 44.5 18 44.8 25.5 46.0 11.5 41.2 18 43.3 16 43.6 27 46.2 27.5 46.8 30.5 48.2 24.5 49.3 32.5 53.8 25 53.9 23.5 54.2 30.5 50.5 27.5 51.2 28 51.5 26 52.6 25.5 52.8 26.5 52.9 33 49.5 15 49.8 27.5 50.3 36 54.3 27 55.1 34.5 55.3 39 61.7 37 62.3 31.5 63.4 37 63.7 24.5 55.5 28 55.6 19 55.7 38.5 58.2 37.5 58.3 18.5 58.4 32 59.2 35…
- 3- Find the equation of the regression line and find the y_ value for the specified x value. Calories and Cholesterol Calories and cholesterol are as follows: Calories X 390 535 720 300 430 500 440 Cholesterol y 43 45 80 50 55 52 60 Find y-hat when x = 600 calories. LO LORegistrar's Office conducted a study of how students' involvement into social networks = X measured in hours per week affects their test scores = Y (in a 100-point scale). They assumed all conditions required for this model and used a sample of n = 20 students. As a result, they derived the fitted line equation in the form: Ý = 70- 2.85 X with the standard error for the estimated slope equal to SE (b) = = 1,5 At the significance level a = 0.05, do they have enough evidence that social networking has ANY impact (positive or negative) on students' test performance? 1. Specify the critical value (or values) required in this case. 2. Formulate Rejection Rule 3. Evaluate the Test Statistic 4. Finally, state your decision. Solutionfirst image is the assignment, second image is the data table
- Regression analysisWe expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 vehicles in the government’s 2016 Fuel Economy Guide gives the regression line highway mpg=7.903+(0.993×city mpg) for predicting highway mileage from city mileage. (a) What is the slope of this line? (Give your answer to 33 decimal places.) slope = Say in words what the numerical value of the slope tells you. Select the best option from these choices: A) On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. B) Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage. C) On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. D) For every 7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg. E) On average, highway mileage increases by 7.903 mpg for each additional mpg in city mileage.…Hi, I am stuck on this question, could you please help
- Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection ( y). Summary quantities were n = 20, Ey; = 12.75, Ey} = 8.86, Ex; 1478, Ex = 143,215.8, and Ex,y; = 1083.67. Calculate the least squares estimates of the slope and intercept. (Round your answer to 3 decimal places) а. 0.329 O b. 0.004 0.132 O d. 0.330A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.The correlation of variables can be determined by studying its scatter plot. The scatter plot can be described through its form, also known as (1)____. The form of scatter plot is either linear or (2)____. In terms of (3)____of correlation, it could be categorized as positive or negative correlation depending on the behavior of the points. The variables can also have no correlation. The strength of correlation also known as (4)____determines the closeness of the points in a line. If the points are plotted and they form a line, then there is (5)____ correlation.