For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92. For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03. The correlation was found to be 0.223.Select the correct slope and y-intercept for the least-squares line. Answer choices are rounded to the hundredths place.Slope = 0.35y-intercept = 10.93Slope = 0.14y-intercept = 6.27Slope = 0.35y-intercept = 3.37Slope = 0.14y-intercept = 12.65

Suppose the correlation between two variables (x, y) in a data set is determined to be r = 0.63, What must be true about the slope, b, of the least-squares line estimated for the same set of data? The slope b is always equal to the square of the correlation r. The slope will have the same sign as the correlation. The slope will also be a value between −1 and 1. The slope will have the opposite sign as the correlation.

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?1 pointŷ = 26 + 7.8x ŷ = 7.8 + 26xŷ = -502 + 0.078x ŷ = 0.078 - 502x

Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals – 0.30, A. the variance of X is negative. B. variable X is larger than variable Y.                          C. there is no correlation.                                      D.  the slope (b1) is negative.

The coefficient of correlation between the two variables X and Y is 0.6. Their covariance is 3.6 and variance of X is 4. The variance of Y is3.55.54.59

A scatter plot shows data points that are widely scattered around a line that slopes down to the right.  Which value would be closest to the correlation for these data?​Group of answer choices​0.40​0.80​–0.80–0.40