3. Suppose you are making extra money one summer by selling ice cream and notice that a relation exists between the daily highest temperature and the number of ice cream sold that day. Now, we wanted to be more systematic in making our predictions and ran the correlation coefficient significance test. We created the scatterplot and obtained the output below. (8 pts) Bars solid 150 70 75 85 90 Temperature in dagrees F Parson's product-moment correlation Data: IceCream$temp and IceCream$barsold of =33 p-value = 1.593e-11 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0.81488 0.91958 Sample estimates: cor 0.86723 a. Describe the scatter plot (direction, shape, and strength) (1 pt) b. Write the null and the alternate hypothesis for correlation coefficient significance test. (1 pt) c. Calculate t statistic. Show your work for the full credits. (3 pts) d. Write up the conclusions with the supporting values. (2 pts)