Colorful wines ~Flavonoids constitute a major group of polyphenolic compounds which are directly associated with health-promoting properties of red wine. Studies are ongoing to determine how wine flavonoids interact with key biological targets.Hunter is a scientist who works for a company that develops lab equipment used to evaluate the components and quality of wine. He is interested finding easy-to-measure variables that may be associated with level of flavonoids in the wine. Today he is looking at the variableColor intensity, which is a simple measure of how dark a wine is on a color spectrum.He gathers a random sample of 40 bottles of red wine. For each bottle, he measures the color intensity of the wine. He also calculates a combined level of flavonoids in the wine using a complex laboratory process (Flavonoids). The scatter plot and a summary of the data is given below. The correlation betweenColor intensityandFlavonoidswas found to be r = 0.7285.Round all calculated answers to 4 decimal places.

Variables	Mean	Sample SD
Color intensity	5.4577	1.3128
Flavonoids	2.9755	0.4055

The relationship betweenColor intensityandFlavonoidsis best described as Positive and Linear,

1.Calculate the slope and intercept for the linear regression equation that predictsFlavonoidsfromColor intensity. Note: Do not use rounded values for intermediate calculations!

Slope: and Intercept:

THis is what I did but it is WRONG! HELP! To calculate the slope of a regression line, I divided the standard deviation of y values by the standard deviation of x values and then multiplied this by the correlation between x and y.

Slope ₁ = 0.7285 * 1.3128/0.4055

= 2.358507522

Slope ₁ =2.358507522 or 2.3585

To find the y-intercept, them multiplied the slope by the mean of the x values and then subtracted this result from the mean of the y values.

y - intercept ₀ = (2.358507522* 2.9755 ) - 5.4577

= 1.56003913

y - intercept ₀ = 1.56003913

Slope: 2.3585 and Intercept: 1.5600 THESE ARE WRONG, I need help understanding where it is wrong.