The estimated regression equation for this data set is y=4.4878+1.9549x. Part A: (in image) Part B:  is the linear function is the appropriate regression function for this data set? Part C: do the residuals have a constant variance? Part D: are the residuals independent? Part E: are the error terms are normally distributed?

Let the Explanatory Variable represent the age of a sample of seven randomly selected men. Let the Response Variable represent the corresponding cholesterol measurements of these men.             Explanatory​ Variable: ​ 39, ​ 52, ​ 47, ​ 43, ​ 63, ​ 58, 69               Response​ Variable: ​ 189, ​ 238, ​ 220, ​ 215, ​ 244, ​ 236, 248   ​(a) What is the equation of the regression line for this sample​ data? The​ y-intercept of your equation must be to three decimal places and the slope of your equation must be to four decimal places.   A. y​ = 2.1664x​ + 142.336   B. y​ = 1.8653x​ + 105.698   C. y​ = 1.7283x​ + 135.543   ​(b) Using the equation of your regression line from​ (a) above what is the predicted cholesterol measurement when a man is 60 years​ old? Your answer must be to four places.   A. 239.2410   B. 272.3200   C. 217.6160

The least-squares regression equation is y = 602.1x + 17,023 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.6748. Complete parts (a) through (d). C Median Income 55000- 25000 ● (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) A. For 0% of adults having a bachelor's degree, the median income is predicted to be $ B. For a median income of $0, the percent of adults with a bachelor's degree is %. O C. For every dollar increase in median income, the percent of adults having at least a bachelor's degree is %, on average. OD. For every percent increase in adults having at least a bachelor's degree, the median income increases by $, on average. 15 20 25 30 35 40 45 50 55 60 Bachelor's % U (a) Predict the…

Consider the following set of 3 data points. {(-6, -1), (1, 1), (6, 2)} What is the regression equation for this data (You can use JASP if you want to)?  Y = X + ____ Using this regression equation, what is the value of predicted Y when X = 4?