# Question: In addition to testing for a linear correlation between x

In addition to testing for a linear correlation between x and y, we can often use transformations of data to explore other relationships. For example, we might replace each x value by x2 and use the methods of this section to determine whether there is a linear correlation between y and x2. Given the paired data in the accompanying table, construct the scatterplot and then test for a linear correlation between y and each of the following. Which case results in the largest value of r?

a. x

b. x2

c. log x

d. √x

e. 1/x

a. x

b. x2

c. log x

d. √x

e. 1/x

**View Solution:**## Answer to relevant Questions

Table A-6 lists critical values of r for selected values of n and a. More generally, critical r values can be found by using the formula Where the t value is found from the table of critical t values assuming a two tailed ...Find the best predicted crash fatality rate for a year in which there are 500 metric tons of lemon imports. Find the regression equation using α = 0.05, letting the first variable be the predictor (x) variable. Find the ...Not included in the table below is a diamond with a weight of 1.50 carats. Find the best predicted price for this diamond. Is the result close to the actual price of $16,097? What is wrong with predicting the price of a ...Using the data from the preceding exercise, find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3? Find the regression equation using α = 0.05, ...Using the heights and weights described in Exercise 1, the linear correlation coefficient r is 0.356. Find the value of the coefficient of determination. What practical information does the coefficient of determination ...Post your question