The following data are from an experiment on carnations. The explanatory variable is the amount of inorganic bromine (micrograms per milliliter) in a plot of standard size. The response variable is the average number of flowers per carnation plant for the 30 plants grown in the plot. Which of the following statements is true? Bromine 3 4 Average No. 3.2 2.9 6 3.7 7 2.2 8 1.8 10 12 15 16 2.3 1.7 0.8 0.3 Select one: O a. The value of r is positive and the scatterplot shows that the average number of flowers per carnation increases as the amount of bromine increases. O b. The value of r is negative and the scatterplot shows that the average number of flowers per carnation decreases as the amount of bromine increases. O c. The value of r is positive and the scatterplot shows that the average number of flowers per carnation decreases as the amount of bromine increases. Od. The value of r is negative and the scatterplot shows that the average number of flowers per carnation increases as the amount of bromine increases.

You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25   Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient    r = ? Find the p-value   p-value =    The p-value is ? Greater than αα or  Less than (or equal to) α

You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 48 27 38 32 57 23 43 22 43 32 38 36 72 19   Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient    r =  Find the p-value   p-value =    The conclusion is  There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.

18.  We want to study the relationship between size (sq. m) and the price of houses. We randomly chose 25 houses and recorded the size and price of them. The excel output for the data is given below:  Regression statistics:  Multiple R: 0.586378154  R Square: 0.343839339  Adjusted R Square: 0.315310615  Standard Error: 34761.73162  Observations: 25     df SS MS F SignificanceF Regression 1 14563843876 1.46E+10 12.05239 0.0020659 Residual 23 27792693660 1.21E+09     Total 24 42356537536         Coefficients StandardError T stat P-value lower95% upper95% Lower95.0% upper95.0% Intercept  189769.0334 28557.61831 6.645128 8.85E-07 130693.1 248844.968 130693.1 248844.968 Size (sq.meter) 444.1951525 127.9490924 3.471655 0.002066 179.51229 708.878016 179.51229 708.878016 Write down your answers to (a)-(c) in the box below. Give your answers to 4 decimal places. Write down 95% confidence interval for the slope of the relationship between price and size. We want to…