A team of researchers studying red wine were interested in using a linear model to predict the concentration of acetic acid based on the concentration of citric acid found in the wine.They randomly selected 106 bottles of red wine. Concentrations are measured in g/dm33. The amount of citric acid found in these wines ranged from 0.05 g/dm33 up to 1 g/dm33.Question 2.1 (1 mark)A correlation coefficient of -0.74 was calculated between the acetic and citric acids concentrations. Which ONE of the following plots is best described by this correlation coefficient?Plot DPlot BPlot CPlot A

They then used RStudio to construct a linear model to predict the acetic acid concentration in the red wine. Below is the summary output for this model.summary(wine.lm)## ## Call:## lm(formula = acetic.acid ~ citric.acid)## ## Residuals:## Min 1Q Median 3Q Max ## -0.16519 -0.06360 -0.02120 0.04675 0.29145 ## ## Coefficients:## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 0.49989 0.01800 27.77 <2e-16 ***## citric.acid -0.47058 0.04195 -11.22 <2e-16 ***## ---## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1## ## Residual standard error: 0.09254 on 104 degrees of freedom## Multiple R-squared: 0.5475, Adjusted R-squared: 0.5431 ## F-statistic: 125.8 on 1 and 104 DF, p-value: < 2.2e-16Use the drop-down menus and numerical answer boxes to complete the equation of this linear model. Round numbers to 3dp.Answer == Answer ++ Answer ×× AnswerQuestion 2.3 (1 mark)based on this linear model, which ONE of the following statements is correct?A red wine that has no citric acid is expected to have 0.5 g/dm33 of acetic acidA red wine that has 1 g/dm33 more citric acid than another is expected to have 0.5 g/dm33 more acetic acidA red wine that has no acetic acid is expected to have 0.5 g/dm33 of citric acidA red wine that has 1 g/dm33 more acetic acid than another is expected to have 0.471 g/dm33 less citric acidQuestion 2.4 (2 marks)One of the bottles of red wines had 0.08 g/dm33 of citric acid and 0.62 g/dm33 of tartaric acid.The value of the residual for this bottle of red wine is: Answer (round your answer to 3dp)

A correlation of r = 0.85 is found between weekly sales of firewood and cough drops over a 1-year period. Which of the following is a correct interpretation of this correlation value? There is a pretty strong positive linear relationship between sales of firewood and cough drops. Temperature is a possible lurking variable that is behind this relationship. Fire must be the cause of coughing.

Citric acid is concentrated in citrus fruits and plays a central metabolic role in nearly every animal and plant cell. How many moles of citric acid are in 2.94qt of lemon juice =d1.09gmL that is 4.25% citric acid by mass? Be sure your answer has the correct number of significant figures.

Question 8You 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

The strength of the linear relationship between two numerical variables may be measured by the A. Coefficient of correlation B. Coefficient of determination C. Scatter diagram D. Slope