Final answer:
The assignment involves finding the slope and equation of a regression line and calculating the correlation coefficient to determine the strength of the linear relationship between two variables. Specific calculations cannot be provided without the actual data or scatterplot.
Step-by-step explanation:
The question pertains to the calculation and interpretation of a linear regression line based on a given scatterplot. To address the various parts of the question:
a. The slope of the regression line can be found using the rise-over-run method from the scatterplot or by calculating the change in the dependent variable over the change in the independent variable using the least-squares formula.
b. Once the slope is determined, the equation of the regression line can be written in the form ŷ = a + bx, where a is the y-intercept given as 41, and b is the slope.
c. The correlation coefficient, typically denoted as r, measures the strength and direction of the linear relationship between two variables. Its significance can often be determined by a statistical test such as a t-test.
Without the actual scatterplot and numerical data, we cannot compute the exact slope, equation of the regression line, or correlation coefficient; we can only describe the methods to find them.