D and E please A set of n = 8 ordered pairs has the following sums. x = 111 x2 = 1,869 y = 618 y2 = 49,374 xy = 7,860 (a) Find the line of best fit. (Round your answers to one decimal place.)ŷ = 107.4 x + -2.2(b) Predict the value of y when x = 5. (Round your answer to one decimal place.)y = 96.4(c) Predict the value of x when y = 50. (Round your answer to one decimal place.)x = 26.1(d) Find the coefficient of linear correlation. (Round your answer to three decimal places.)(e) Are the predictions in parts (b) and (c) reliable? Why or why not? No, they are not reliable since the correlation coefficient is close to −1.No, they are not reliable since the slope is negative. Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.
D and E please A set of n = 8 ordered pairs has the following sums. x = 111 x2 = 1,869 y = 618 y2 = 49,374 xy = 7,860 (a) Find the line of best fit. (Round your answers to one decimal place.)ŷ = 107.4 x + -2.2(b) Predict the value of y when x = 5. (Round your answer to one decimal place.)y = 96.4(c) Predict the value of x when y = 50. (Round your answer to one decimal place.)x = 26.1(d) Find the coefficient of linear correlation. (Round your answer to three decimal places.)(e) Are the predictions in parts (b) and (c) reliable? Why or why not? No, they are not reliable since the correlation coefficient is close to −1.No, they are not reliable since the slope is negative. Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.
D and E please A set of n = 8 ordered pairs has the following sums. x = 111 x2 = 1,869 y = 618 y2 = 49,374 xy = 7,860 (a) Find the line of best fit. (Round your answers to one decimal place.)ŷ = 107.4 x + -2.2(b) Predict the value of y when x = 5. (Round your answer to one decimal place.)y = 96.4(c) Predict the value of x when y = 50. (Round your answer to one decimal place.)x = 26.1(d) Find the coefficient of linear correlation. (Round your answer to three decimal places.)(e) Are the predictions in parts (b) and (c) reliable? Why or why not? No, they are not reliable since the correlation coefficient is close to −1.No, they are not reliable since the slope is negative. Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.
A set of n = 8 ordered pairs has the following sums.
x
= 111
x2
= 1,869
y
= 618
y2
= 49,374
xy
= 7,860
(a) Find the line of best fit. (Round your answers to one decimal place.) ŷ = 107.4 x + -2.2
(b) Predict the value of y when x = 5. (Round your answer to one decimal place.) y = 96.4
(c) Predict the value of x when y = 50. (Round your answer to one decimal place.) x = 26.1
(d) Find the coefficient of linear correlation. (Round your answer to three decimal places.)
(e) Are the predictions in parts (b) and (c) reliable? Why or why not?
No, they are not reliable since the correlation coefficient is close to −1.No, they are not reliable since the slope is negative. Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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