A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a
Posted: Wed Dec 15, 2021 10:35 am
A local tire dealer wants to predict the number of tires sold
each month. He believes that the number of tires sold is a linear
function of the amount of money invested in advertising. He
randomly selects 6 months of data consisting of tire sales (in
thousands of tires) and advertising expenditures (in thousands of
dollars). Based on the data set with 12 observations, the simple
linear regression model yielded the following results.
∑X = 24
∑X2 =120
∑Y = 48
∑Y2 = 360
∑XY = 240
Estimate the slope and intercept, write the regression equation and
interpret the results. Calculate the coefficient of
determination and the coefficient of correlation between X and
Y. Interpret the coefficient of Determination. What would the
predicted sales of tires be if he spends five thousand dollars in
advertising? Test the significance of the slope.
each month. He believes that the number of tires sold is a linear
function of the amount of money invested in advertising. He
randomly selects 6 months of data consisting of tire sales (in
thousands of tires) and advertising expenditures (in thousands of
dollars). Based on the data set with 12 observations, the simple
linear regression model yielded the following results.
∑X = 24
∑X2 =120
∑Y = 48
∑Y2 = 360
∑XY = 240
Estimate the slope and intercept, write the regression equation and
interpret the results. Calculate the coefficient of
determination and the coefficient of correlation between X and
Y. Interpret the coefficient of Determination. What would the
predicted sales of tires be if he spends five thousand dollars in
advertising? Test the significance of the slope.