The methods of least squares regression finds the best line by minimizing? Sum of squared residuals? Squared slopes? Sum of squared correlation? Squared horizontal distance from the mean to the observation?

Statistical software is generally used to test the significance of a regression model. The table below shows software output for a least squares regression line. Fill in the blanks with the correct answers, using the table above. Assume a significance level of 0.05. The variable "unemp" is the_______variable. The value of the slope of the regression line is_______. The slope of the regression line is not significantly different from______because the p-value is______ which is larger than 0.05.

What is a residual? Explain when a residual is positive, negative, and zero. OA. A residual is the sum of the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is below the line, negative when it is above the line, and zero when the observed y-value equals the predicted y-value. OB. A residual is the difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value. OC. A residual is the difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is below the line, negative when it is above the line, and zero when the observed…

Please help it’s not graded

Jd

Lean body mass (weight leaving out fat ) helps predict metabolic rate (how many calories of energy are burned in a hour ) The relationship is roughly a straight line the least squares regression line for predicting metabolic rate (y in calories) from lean body mass (x in kilograms) is y =113.2+26.9x  The slope of regression line is ?

When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is (picture attached)  What is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? 49.72 cm2 199.43 cm2 311.89 cm2 1854.10 cm2

The residual plot shows the residuals for the least- squares line relating price of a used car (y) to the number of miles driven (x). Residuals Residual Plot for Miles Driven vs Price 10,000 5,000 -5,000 50,000 100,000 150,000 200,000 Number of Miles Driven Based on the residual plot, is the linear model appropriate for the relationship between miles and price? No, because there are clear outliers in the residual plot. No, because there is a clear curved pattern in the residual plot. No, because there does not appear to be a pattern to the residuals. Yes, because there is a clear curved pattern in the residual plot. Yes, because there does not appear to be a pattern to the residuals.

A regression of infant mortality rates (annual deaths per hundred births) on median annual household income (in thousands of dollars) is performed on data collected from 40 counties. The results are summarized as follows. Intercept: Slope: 18.46 -0.14 Sum of df Mean Squares Square Regression Residual Total 2.4 4.5 (a) Fill in the blanks in the ANOVA table (b) What is the predicted infant mortality rate in a county where the median household income is $40,000? (c) In words, what is the meaning of the coefficient -0.14? Do NOT simply say that this is the slope or the regression coefficient. Indicate what it means and how it can be interpreted.

Data Set: {(-3, 4), (-2, 3), (–1,3), (0, 7), (1, 5), (2, 6), (3, 1)} 1. The regression line is: y = when the 2. Based on the regression line, we would expect the value of response variable to be explanatory variable is 0. 3. For each increase of 1 in of the explanatory variable, we can expect a(n) in the response variable. 4. If x = -3.5, the y = This is an example of 5. The correlation coefficient is r = (Round to the nearest hundredth.) Check of